I = imread('ASL-1.jpg');
figure, imshow(I);
Ir = I(:,:,1);
Ig = I(:,:,2);
Ib = I(:,:,3);
bitshift(255,4)
ans =
4080
bitshift(255,-4)
ans =
15
Ir = uint16(I(:,:,1));
Ig = uint16(I(:,:,2));
Ib = uint16(I(:,:,3));
CI = bitshift(bitshift(Ir,-4),8) + bitshift(bitshift(Ig,-4),4) + bitshift(Ib,-4);
I(1:5,1:5,:)
ans(:,:,1) =
71 66 67 67 74
72 68 67 67 69
69 58 69 69 67
62 66 68 69 72
47 68 59 64 68
ans(:,:,2) =
62 57 58 58 65
64 60 59 59 61
63 52 63 63 61
57 63 65 66 68
43 67 59 64 70
ans(:,:,3) =
105 100 101 101 108
105 101 100 100 102
97 86 99 101 99
89 94 96 97 101
78 99 85 88 95
CI(1:5,1:5)
ans =
1078 1078 1078 1078 1094
1094 1078 1078 1078 1078
1078 821 1078 1078 1078
821 1077 1094 1094 1094
548 1094 821 1093 1093
I(1:5,120:125,:)
ans(:,:,1) =
196 192 194 182 185 204
191 203 196 195 191 197
191 190 201 193 193 201
188 183 184 186 186 193
185 181 179 189 188 188
ans(:,:,2) =
182 182 186 174 177 196
180 193 189 188 183 189
180 183 194 188 187 193
177 176 178 181 181 185
172 172 173 184 182 181
ans(:,:,3) =
153 157 165 151 154 175
152 168 163 162 160 168
158 155 165 158 161 172
159 147 144 149 152 164
156 143 137 152 156 162
CI(1:5,120:125)
ans =
3257 3257 3258 2985 3001 3274
3001 3274 3258 3258 3002 3258
3001 3001 3274 3257 3258 3274
3001 3001 3001 3001 3001 3258
2985 2984 2984 3001 3001 3002
help binary
--- help for ftp/binary.m ---
BINARY Sets binary transfer type.
BINARY(F) sets binary transfer type for the FTP object F.
help bin
bin.m not found.
Use the Help browser Search tab to search the documentation, or
type "help help" for help command options, such as help for methods.
help hex
hex.m not found.
Use the Help browser Search tab to search the documentation, or
type "help help" for help command options, such as help for methods.
dec2bin(CI(1:5,120:125))
ans =
110010111001
101110111001
101110111001
101110111001
101110101001
110010111001
110011001010
101110111001
101110111001
101110101000
110010111010
110010111010
110011001010
101110111001
101110101000
101110101001
110010111010
110010111001
101110111001
101110111001
101110111001
101110111010
110010111010
101110111001
101110111001
110011001010
110010111010
110011001010
110010111010
101110111010
dec2hex(CI(1:5,120:125))
??? Operands to the || and && operators must be convertible to logical scalar values.
Error in ==> dec2hex at 23
if ~isreal(d) || any(d < 0) || any(d ~= fix(d))
help dec2hex
DEC2HEX Convert decimal integer to hexadecimal string.
DEC2HEX(D) returns a 2-D string array where each row is the
hexadecimal representation of each decimal integer in D.
D must contain non-negative integers smaller than 2^52.
DEC2HEX(D,N) produces a 2-D string array where each
row contains an N digit hexadecimal number.
Example
dec2hex(2748) returns 'ABC'.
See also hex2dec, hex2num, dec2bin, dec2base.
Reference page in Help browser
doc dec2hex
dec2hex(CI(1:1,120:125))
ans =
CB9
CB9
CBA
BA9
BB9
CCA
dec2bin(CI(1:1,120:125))
ans =
110010111001
110010111001
110010111010
101110101001
101110111001
110011001010
CI(1:1,120:125)
ans =
3257 3257 3258 2985 3001 3274
CI(1:1,1:5)
ans =
1078 1078 1078 1078 1094
dec2bin(CI(1:1,1:5))
ans =
10000110110
10000110110
10000110110
10000110110
10001000110
dec2hex(CI(1:1,1:5))
ans =
436
436
436
436
446
Ir = uint8(Ir);
figure, imshow(Ir);
t = graythresh(Ir)
t =
0.3843
Ibw = im2bw(Ir, t);
figure, imshow(Ibw)
Ic = I;
ind = find(Ibw > 0);
ind = find(Ibw == 0);
Ic(ind) = 0;
figure, imshow(Ic);
.
??? .
|
Error: Missing variable or function.
Ic(ind+240*320) = 0;
figure, imshow(Ic);
whos
Name Size Bytes Class
CI 240x320 153600 uint16 array
I 240x320x3 230400 uint8 array
Ib 240x320 153600 uint16 array
Ibw 240x320 76800 logical array
Ic 240x320x3 230400 uint8 array
Ig 240x320 153600 uint16 array
Ir 240x320 76800 uint8 array
ans 5x3 30 char array
ind 62146x1 497168 double array
t 1x1 8 double array
Grand total is 906962 elements using 1572406 bytes
Ic(ind+2*240*320) = 0;
figure, imshow(Ic);
110010111010
ans =
1.1001e+11
101110111001
ans =
1.0111e+11
101110111001
ans =
1.0111e+11
110011001010
ans =
1.1001e+11
110010111010
ans =
1.1001e+11
110011001010
ans =
1.1001e+11
110010111010
ans =
1.1001e+11
101110111010
ans =
1.0111e+11
>> dec2hex(CI(1:5,120:125))
??? >> dec2hex(CI(1:5,120:125))
|
Error: Missing variable or function.
ind0 = find(Ibw > 0);
Icb = I;
Icb(ind0) = 0;
Icb(ind0+240*320) = 0;
Icb(ind0+240*320*2) = 0;
figure, imshow(Icb);
help hist
HIST Histogram.
N = HIST(Y) bins the elements of Y into 10 equally spaced containers
and returns the number of elements in each container. If Y is a
matrix, HIST works down the columns.
N = HIST(Y,M), where M is a scalar, uses M bins.
N = HIST(Y,X), where X is a vector, returns the distribution of Y
among bins with centers specified by X. Note: Use HISTC if it is
more natural to specify bin edges instead.
[N,X] = HIST(...) also returns the position of the bin centers in X.
HIST(...) without output arguments produces a histogram bar plot of
the results.
HIST(AX,...) plots into AX instead of GCA.
Class support for inputs Y, X:
float: double, single
See also histc.
Reference page in Help browser
doc hist
help histc
HISTC Histogram count.
N = HISTC(X,EDGES), for vector X, counts the number of values in X
that fall between the elements in the EDGES vector (which must contain
monotonically non-decreasing values). N is a LENGTH(EDGES) vector
containing these counts.
N(k) will count the value X(i) if EDGES(k) <= X(i) < EDGES(k+1). The
last bin will count any values of X that match EDGES(end). Values
outside the values in EDGES are not counted. Use -inf and inf in
EDGES to include all non-NaN values.
For matrices, HISTC(X,EDGES) is a matrix of column histogram counts.
For N-D arrays, HISTC(X,EDGES) operates along the first non-singleton
dimension.
HISTC(X,EDGES,DIM) operates along the dimension DIM.
[N,BIN] = HISTC(X,EDGES,...) also returns an index matrix BIN. If X is a
vector, N(K) = SUM(BIN==K). BIN is zero for out of range values. If X
is an m-by-n matrix, then,
for j=1:n, N(K,j) = SUM(BIN(:,j)==K); end
Use BAR(EDGES,N,'histc') to plot the histogram.
Example:
histc(pascal(3),1:6) produces the array [3 1 1;
0 1 0;
0 1 1;
0 0 0;
0 0 0;
0 0 1]
Class support for inputs X,EDGES:
float: double, single
See also hist.
Reference page in Help browser
doc histc
un = unique(CI);
whos un
Name Size Bytes Class
un 220x1 440 uint16 array
Grand total is 220 elements using 440 bytes
un
un =
37
38
54
278
279
292
293
294
295
296
309
310
311
312
326
327
328
534
548
549
550
551
552
565
566
567
568
581
582
583
584
585
598
599
600
601
805
806
821
822
823
824
837
838
839
840
841
854
855
856
857
871
872
873
874
1077
1078
1079
1093
1094
1095
1096
1110
1111
1112
1113
1126
1127
1128
1129
1130
1143
1144
1349
1350
1351
1365
1366
1367
1368
1382
1383
1384
1385
1399
1400
1401
1416
1606
1607
1621
1622
1623
1624
1637
1638
1639
1640
1655
1656
1657
1671
1672
1673
1688
1878
1879
1880
1893
1894
1895
1896
1910
1911
1912
1913
1926
1927
1928
1929
1944
1945
1946
2151
2152
2166
2167
2168
2169
2182
2183
2184
2185
2199
2200
2201
2202
2216
2217
2218
2423
2424
2425
2438
2439
2440
2441
2455
2456
2457
2458
2472
2473
2474
2475
2488
2489
2490
2491
2695
2696
2697
2711
2712
2713
2714
2728
2729
2730
2731
2744
2745
2746
2747
2761
2762
2763
2968
2969
2984
2985
2986
3000
3001
3002
3003
3017
3018
3019
3020
3034
3035
3036
3241
3242
3257
3258
3259
3273
3274
3275
3276
3290
3291
3292
3307
3308
3530
3531
3546
3547
3548
3563
3564
3580
3803
3804
3819
3820
3837
un0 = unique(CI(ind0))
un0 =
1606
1607
1621
1622
1623
1624
1637
1638
1639
1640
1655
1656
1657
1671
1672
1673
1688
1878
1879
1880
1893
1894
1895
1896
1910
1911
1912
1913
1926
1927
1928
1929
1944
1945
1946
2151
2152
2166
2167
2168
2169
2182
2183
2184
2185
2199
2200
2201
2202
2216
2217
2218
2423
2424
2425
2438
2439
2440
2441
2455
2456
2457
2458
2472
2473
2474
2475
2488
2489
2490
2491
2695
2696
2697
2711
2712
2713
2714
2728
2729
2730
2731
2744
2745
2746
2747
2761
2762
2763
2968
2969
2984
2985
2986
3000
3001
3002
3003
3017
3018
3019
3020
3034
3035
3036
3241
3242
3257
3258
3259
3273
3274
3275
3276
3290
3291
3292
3307
3308
3530
3531
3546
3547
3548
3563
3564
3580
3803
3804
3819
3820
3837
whos un0
Name Size Bytes Class
un0 132x1 264 uint16 array
Grand total is 132 elements using 264 bytes
un1 = unique(CI(ind))
un1 =
37
38
54
278
279
292
293
294
295
296
309
310
311
312
326
327
328
534
548
549
550
551
552
565
566
567
568
581
582
583
584
585
598
599
600
601
805
806
821
822
823
824
837
838
839
840
841
854
855
856
857
871
872
873
874
1077
1078
1079
1093
1094
1095
1096
1110
1111
1112
1113
1126
1127
1128
1129
1130
1143
1144
1349
1350
1351
1365
1366
1367
1368
1382
1383
1384
1385
1399
1400
1401
1416
1606
1607
1621
1622
1623
1624
1639
1640
1655
1656
1657
help histc
HISTC Histogram count.
N = HISTC(X,EDGES), for vector X, counts the number of values in X
that fall between the elements in the EDGES vector (which must contain
monotonically non-decreasing values). N is a LENGTH(EDGES) vector
containing these counts.
N(k) will count the value X(i) if EDGES(k) <= X(i) < EDGES(k+1). The
last bin will count any values of X that match EDGES(end). Values
outside the values in EDGES are not counted. Use -inf and inf in
EDGES to include all non-NaN values.
For matrices, HISTC(X,EDGES) is a matrix of column histogram counts.
For N-D arrays, HISTC(X,EDGES) operates along the first non-singleton
dimension.
HISTC(X,EDGES,DIM) operates along the dimension DIM.
[N,BIN] = HISTC(X,EDGES,...) also returns an index matrix BIN. If X is a
vector, N(K) = SUM(BIN==K). BIN is zero for out of range values. If X
is an m-by-n matrix, then,
for j=1:n, N(K,j) = SUM(BIN(:,j)==K); end
Use BAR(EDGES,N,'histc') to plot the histogram.
Example:
histc(pascal(3),1:6) produces the array [3 1 1;
0 1 0;
0 1 1;
0 0 0;
0 0 0;
0 0 1]
Class support for inputs X,EDGES:
float: double, single
See also hist.
Reference page in Help browser
doc histc
edges = 0:4096
edges =
Columns 1 through 8
0 1 2 3 4 5 6 7
Columns 9 through 16
8 9 10 11 12 13 14 15
Columns 17 through 24
16 17 18 19 20 21 22 23
Columns 25 through 32
24 25 26 27 28 29 30 31
Columns 33 through 40
32 33 34 35 36 37 38 39
Columns 41 through 48
40 41 42 43 44 45 46 47
Columns 49 through 56
48 49 50 51 52 53 54 55
Columns 57 through 64
56 57 58 59 60 61 62 63
Columns 65 through 72
64 65 66 67 68 69 70 71
Columns 73 through 80
72 73 74 75 76 77 78 79
Columns 81 through 88
80 81 82 83 84 85 86 87
Columns 89 through 96
88 89 90 91 92 93 94 95
Columns 97 through 104
96 97 98 99 100 101 102 103
Columns 105 through 112
104 105 106 107 108 109 110 111
Columns 113 through 120
112 113 114 115 116 117 118 119
Columns 121 through 128
120 121 122 123 124 125 126 127
Columns 129 through 136
128 129 130 131 132 133 134 135
Columns 137 through 144
136 137 138 139 140 141 142 143
Columns 145 through 152
144 145 146 147 148 149 150 151
Columns 153 through 160
152 153 154 155 156 157 158 159
Columns 161 through 168
160 161 162 163 164 165 166 167
Columns 169 through 176
168 169 170 171 172 173 174 175
Columns 177 through 184
176 177 178 179 180 181 182 183
Columns 185 through 192
184 185 186 187 188 189 190 191
Columns 193 through 200
192 193 194 195 196 197 198 199
Columns 201 through 208
200 201 202 203 204 205 206 207
Columns 209 through 216
208 209 210 211 212 213 214 215
Columns 217 through 224
216 217 218 219 220 221 222 223
Columns 225 through 232
224 225 226 227 228 229 230 231
Columns 233 through 240
232 233 234 235 236 237 238 239
Columns 241 through 248
240 241 242 243 244 245 246 247
Columns 249 through 256
248 249 250 251 252 253 254 255
Columns 257 through 264
256 257 258 259 260 261 262 263
Columns 265 through 272
264 265 266 267 268 269 270 271
Columns 273 through 280
272 273 274 275 276 277 278 279
Columns 281 through 288
280 281 282 283 284 285 286 287
Columns 289 through 296
288 289 290 291 292 293 294 295
Columns 297 through 304
296 297 298 299 300 301 302 303
Columns 305 through 312
304 305 306 307 308 309 310 311
Columns 313 through 320
312 313 314 315 316 317 318 319
Columns 321 through 328
320 321 322 323 324 325 326 327
Columns 329 through 336
328 329 330 331 332 333 334 335
Columns 337 through 344
336 337 338 339 340 341 342 343
Columns 345 through 352
344 345 346 347 348 349 350 351
Columns 353 through 360
352 353 354 355 356 357 358 359
Columns 361 through 368
360 361 362 363 364 365 366 367
Columns 369 through 376
368 369 370 371 372 373 374 375
Columns 377 through 384
376 377 378 379 380 381 382 383
Columns 385 through 392
384 385 386 387 388 389 390 391
Columns 393 through 400
392 393 394 395 396 397 398 399
Columns 401 through 408
400 401 402 403 404 405 406 407
Columns 409 through 416
408 409 410 411 412 413 414 415
Columns 417 through 424
416 417 418 419 420 421 422 423
Columns 425 through 432
424 425 426 427 428 429 430 431
Columns 433 through 440
432 433 434 435 436 437 438 439
Columns 441 through 448
440 441 442 443 444 445 446 447
Columns 449 through 456
448 449 450 451 452 453 454 455
Columns 457 through 464
456 457 458 459 460 461 462 463
Columns 465 through 472
464 465 466 467 468 469 470 471
Columns 473 through 480
472 473 474 475 476 477 478 479
Columns 481 through 488
480 481 482 483 484 485 486 487
Columns 489 through 496
488 489 490 491 492 493 494 495
Columns 497 through 504
496 497 498 499 500 501 502 503
Columns 505 through 512
504 505 506 507 508 509 510 511
Columns 513 through 520
512 513 514 515 516 517 518 519
Columns 521 through 528
520 521 522 523 524 525 526 527
Columns 529 through 536
528 529 530 531 532 533 534 535
Columns 537 through 544
536 537 538 539 540 541 542 543
Columns 545 through 552
544 545 546 547 548 549 550 551
Columns 553 through 560
552 553 554 555 556 557 558 559
Columns 561 through 568
560 561 562 563 564 565 566 567
Columns 569 through 576
568 569 570 571 572 573 574 575
Columns 577 through 584
576 577 578 579 580 581 582 583
Columns 585 through 592
584 585 586 587 588 589 590 591
Columns 593 through 600
592 593 594 595 596 597 598 599
Columns 601 through 608
600 601 602 603 604 605 606 607
Columns 609 through 616
608 609 610 611 612 613 614 615
Columns 617 through 624
616 617 618 619 620 621 622 623
Columns 625 through 632
624 625 626 627 628 629 630 631
Columns 633 through 640
632 633 634 635 636 637 638 639
Columns 641 through 648
640 641 642 643 644 645 646 647
Columns 649 through 656
648 649 650 651 652 653 654 655
Columns 657 through 664
656 657 658 659 660 661 662 663
Columns 665 through 672
664 665 666 667 668 669 670 671
Columns 673 through 680
672 673 674 675 676 677 678 679
Columns 681 through 688
680 681 682 683 684 685 686 687
Columns 689 through 696
688 689 690 691 692 693 694 695
Columns 697 through 704
696 697 698 699 700 701 702 703
Columns 705 through 712
704 705 706 707 708 709 710 711
Columns 713 through 720
712 713 714 715 716 717 718 719
Columns 721 through 728
720 721 722 723 724 725 726 727
Columns 729 through 736
728 729 730 731 732 733 734 735
Columns 737 through 744
736 737 738 739 740 741 742 743
Columns 745 through 752
744 745 746 747 748 749 750 751
Columns 753 through 760
752 753 754 755 756 757 758 759
Columns 761 through 768
760 761 762 763 764 765 766 767
Columns 769 through 776
768 769 770 771 772 773 774 775
Columns 777 through 784
776 777 778 779 780 781 782 783
Columns 785 through 792
784 785 786 787 788 789 790 791
Columns 793 through 800
792 793 794 795 796 797 798 799
Columns 801 through 808
800 801 802 803 804 805 806 807
Columns 809 through 816
808 809 810 811 812 813 814 815
Columns 817 through 824
816 817 818 819 820 821 822 823
Columns 825 through 832
824 825 826 827 828 829 830 831
Columns 833 through 840
832 833 834 835 836 837 838 839
Columns 841 through 848
840 841 842 843 844 845 846 847
Columns 849 through 856
848 849 850 851 852 853 854 855
Columns 857 through 864
856 857 858 859 860 861 862 863
Columns 865 through 872
864 865 866 867 868 869 870 871
Columns 873 through 880
872 873 874 875 876 877 878 879
Columns 881 through 888
880 881 882 883 884 885 886 887
Columns 889 through 896
888 889 890 891 892 893 894 895
Columns 897 through 904
896 897 898 899 900 901 902 903
Columns 905 through 912
904 905 906 907 908 909 910 911
Columns 913 through 920
912 913 914 915 916 917 918 919
Columns 921 through 928
920 921 922 923 924 925 926 927
Columns 929 through 936
928 929 930 931 932 933 934 935
Columns 937 through 944
936 937 938 939 940 941 942 943
Columns 945 through 952
944 945 946 947 948 949 950 951
Columns 953 through 960
952 953 954 955 956 957 958 959
Columns 961 through 968
960 961 962 963 964 965 966 967
Columns 969 through 976
968 969 970 971 972 973 974 975
Columns 977 through 984
976 977 978 979 980 981 982 983
Columns 985 through 992
984 985 986 987 988 989 990 991
Columns 993 through 1000
992 993 994 995 996 997 998 999
Columns 1001 through 1008
1000 1001 1002 1003 1004 1005 1006 1007
Columns 1009 through 1016
1008 1009 1010 1011 1012 1013 1014 1015
Columns 1017 through 1024
1016 1017 1018 1019 1020 1021 1022 1023
Columns 1025 through 1032
1024 1025 1026 1027 1028 1029 1030 1031
Columns 1033 through 1040
1032 1033 1034 1035 1036 1037 1038 1039
Columns 1041 through 1048
1040 1041 1042 1043 1044 1045 1046 1047
Columns 1049 through 1056
1048 1049 1050 1051 1052 1053 1054 1055
Columns 1057 through 1064
1056 1057 1058 1059 1060 1061 1062 1063
Columns 1065 through 1072
1064 1065 1066 1067 1068 1069 1070 1071
Columns 1073 through 1080
1072 1073 1074 1075 1076 1077 1078 1079
Columns 1081 through 1088
1080 1081 1082 1083 1084 1085 1086 1087
Columns 1089 through 1096
1088 1089 1090 1091 1092 1093 1094 1095
Columns 1097 through 1104
1096 1097 1098 1099 1100 1101 1102 1103
Columns 1105 through 1112
1104 1105 1106 1107 1108 1109 1110 1111
Columns 1113 through 1120
1112 1113 1114 1115 1116 1117 1118 1119
Columns 1121 through 1128
1120 1121 1122 1123 1124 1125 1126 1127
Columns 1129 through 1136
1128 1129 1130 1131 1132 1133 1134 1135
Columns 1137 through 1144
1136 1137 1138 1139 1140 1141 1142 1143
Columns 1145 through 1152
1144 1145 1146 1147 1148 1149 1150 1151
Columns 1153 through 1160
1152 1153 1154 1155 1156 1157 1158 1159
Columns 1161 through 1168
1160 1161 1162 1163 1164 1165 1166 1167
Columns 1169 through 1176
1168 1169 1170 1171 1172 1173 1174 1175
Columns 1177 through 1184
1176 1177 1178 1179 1180 1181 1182 1183
Columns 1185 through 1192
1184 1185 1186 1187 1188 1189 1190 1191
Columns 1193 through 1200
1192 1193 1194 1195 1196 1197 1198 1199
Columns 1201 through 1208
1200 1201 1202 1203 1204 1205 1206 1207
Columns 1209 through 1216
1208 1209 1210 1211 1212 1213 1214 1215
Columns 1217 through 1224
1216 1217 1218 1219 1220 1221 1222 1223
Columns 1225 through 1232
1224 1225 1226 1227 1228 1229 1230 1231
Columns 1233 through 1240
1232 1233 1234 1235 1236 1237 1238 1239
Columns 1241 through 1248
1240 1241 1242 1243 1244 1245 1246 1247
Columns 1249 through 1256
1248 1249 1250 1251 1252 1253 1254 1255
Columns 1257 through 1264
1256 1257 1258 1259 1260 1261 1262 1263
Columns 1265 through 1272
1264 1265 1266 1267 1268 1269 1270 1271
Columns 1273 through 1280
1272 1273 1274 1275 1276 1277 1278 1279
Columns 1281 through 1288
1280 1281 1282 1283 1284 1285 1286 1287
Columns 1289 through 1296
1288 1289 1290 1291 1292 1293 1294 1295
Columns 1297 through 1304
1296 1297 1298 1299 1300 1301 1302 1303
Columns 1305 through 1312
1304 1305 1306 1307 1308 1309 1310 1311
Columns 1313 through 1320
1312 1313 1314 1315 1316 1317 1318 1319
Columns 1321 through 1328
1320 1321 1322 1323 1324 1325 1326 1327
Columns 1329 through 1336
1328 1329 1330 1331 1332 1333 1334 1335
Columns 1337 through 1344
1336 1337 1338 1339 1340 1341 1342 1343
Columns 1345 through 1352
1344 1345 1346 1347 1348 1349 1350 1351
Columns 1353 through 1360
1352 1353 1354 1355 1356 1357 1358 1359
Columns 1361 through 1368
1360 1361 1362 1363 1364 1365 1366 1367
Columns 1369 through 1376
1368 1369 1370 1371 1372 1373 1374 1375
Columns 1377 through 1384
1376 1377 1378 1379 1380 1381 1382 1383
Columns 1385 through 1392
1384 1385 1386 1387 1388 1389 1390 1391
Columns 1393 through 1400
1392 1393 1394 1395 1396 1397 1398 1399
Columns 1401 through 1408
1400 1401 1402 1403 1404 1405 1406 1407
Columns 1409 through 1416
1408 1409 1410 1411 1412 1413 1414 1415
Columns 1417 through 1424
1416 1417 1418 1419 1420 1421 1422 1423
Columns 1425 through 1432
1424 1425 1426 1427 1428 1429 1430 1431
Columns 1433 through 1440
1432 1433 1434 1435 1436 1437 1438 1439
Columns 1441 through 1448
1440 1441 1442 1443 1444 1445 1446 1447
Columns 1449 through 1456
1448 1449 1450 1451 1452 1453 1454 1455
Columns 1457 through 1464
1456 1457 1458 1459 1460 1461 1462 1463
Columns 1465 through 1472
1464 1465 1466 1467 1468 1469 1470 1471
Columns 1473 through 1480
1472 1473 1474 1475 1476 1477 1478 1479
Columns 1481 through 1488
1480 1481 1482 1483 1484 1485 1486 1487
Columns 1489 through 1496
1488 1489 1490 1491 1492 1493 1494 1495
Columns 1497 through 1504
1496 1497 1498 1499 1500 1501 1502 1503
Columns 1505 through 1512
1504 1505 1506 1507 1508 1509 1510 1511
Columns 1513 through 1520
1512 1513 1514 1515 1516 1517 1518 1519
Columns 1521 through 1528
1520 1521 1522 1523 1524 1525 1526 1527
Columns 1529 through 1536
1528 1529 1530 1531 1532 1533 1534 1535
Columns 1537 through 1544
1536 1537 1538 1539 1540 1541 1542 1543
Columns 1545 through 1552
1544 1545 1546 1547 1548 1549 1550 1551
Columns 1553 through 1560
1552 1553 1554 1555 1556 1557 1558 1559
Columns 1561 through 1568
1560 1561 1562 1563 1564 1565 1566 1567
Columns 1569 through 1576
1568 1569 1570 1571 1572 1573 1574 1575
Columns 1577 through 1584
1576 1577 1578 1579 1580 1581 1582 1583
Columns 1585 through 1592
1584 1585 1586 1587 1588 1589 1590 1591
Columns 1593 through 1600
1592 1593 1594 1595 1596 1597 1598 1599
Columns 1601 through 1608
1600 1601 1602 1603 1604 1605 1606 1607
Columns 1609 through 1616
1608 1609 1610 1611 1612 1613 1614 1615
Columns 1617 through 1624
1616 1617 1618 1619 1620 1621 1622 1623
Columns 1625 through 1632
1624 1625 1626 1627 1628 1629 1630 1631
Columns 1633 through 1640
1632 1633 1634 1635 1636 1637 1638 1639
Columns 1641 through 1648
1640 1641 1642 1643 1644 1645 1646 1647
Columns 1649 through 1656
1648 1649 1650 1651 1652 1653 1654 1655
Columns 1657 through 1664
1656 1657 1658 1659 1660 1661 1662 1663
Columns 1665 through 1672
1664 1665 1666 1667 1668 1669 1670 1671
Columns 1673 through 1680
1672 1673 1674 1675 1676 1677 1678 1679
Columns 1681 through 1688
1680 1681 1682 1683 1684 1685 1686 1687
Columns 1689 through 1696
1688 1689 1690 1691 1692 1693 1694 1695
Columns 1697 through 1704
1696 1697 1698 1699 1700 1701 1702 1703
Columns 1705 through 1712
1704 1705 1706 1707 1708 1709 1710 1711
Columns 1713 through 1720
1712 1713 1714 1715 1716 1717 1718 1719
Columns 1721 through 1728
1720 1721 1722 1723 1724 1725 1726 1727
Columns 1729 through 1736
1728 1729 1730 1731 1732 1733 1734 1735
Columns 1737 through 1744
1736 1737 1738 1739 1740 1741 1742 1743
Columns 1745 through 1752
1744 1745 1746 1747 1748 1749 1750 1751
Columns 1753 through 1760
1752 1753 1754 1755 1756 1757 1758 1759
Columns 1761 through 1768
1760 1761 1762 1763 1764 1765 1766 1767
Columns 1769 through 1776
1768 1769 1770 1771 1772 1773 1774 1775
Columns 1777 through 1784
1776 1777 1778 1779 1780 1781 1782 1783
Columns 1785 through 1792
1784 1785 1786 1787 1788 1789 1790 1791
Columns 1793 through 1800
1792 1793 1794 1795 1796 1797 1798 1799
Columns 1801 through 1808
1800 1801 1802 1803 1804 1805 1806 1807
Columns 1809 through 1816
1808 1809 1810 1811 1812 1813 1814 1815
Columns 1817 through 1824
1816 1817 1818 1819 1820 1821 1822 1823
Columns 1825 through 1832
1824 1825 1826 1827 1828 1829 1830 1831
Columns 1833 through 1840
1832 1833 1834 1835 1836 1837 1838 1839
Columns 1841 through 1848
1840 1841 1842 1843 1844 1845 1846 1847
Columns 1849 through 1856
1848 1849 1850 1851 1852 1853 1854 1855
Columns 1857 through 1864
1856 1857 1858 1859 1860 1861 1862 1863
Columns 1865 through 1872
1864 1865 1866 1867 1868 1869 1870 1871
Columns 1873 through 1880
1872 1873 1874 1875 1876 1877 1878 1879
Columns 1881 through 1888
1880 1881 1882 1883 1884 1885 1886 1887
Columns 1889 through 1896
1888 1889 1890 1891 1892 1893 1894 1895
Columns 1897 through 1904
1896 1897 1898 1899 1900 1901 1902 1903
Columns 1905 through 1912
1904 1905 1906 1907 1908 1909 1910 1911
Columns 1913 through 1920
1912 1913 1914 1915 1916 1917 1918 1919
Columns 1921 through 1928
1920 1921 1922 1923 1924 1925 1926 1927
Columns 1929 through 1936
1928 1929 1930 1931 1932 1933 1934 1935
Columns 1937 through 1944
1936 1937 1938 1939 1940 1941 1942 1943
Columns 1945 through 1952
1944 1945 1946 1947 1948 1949 1950 1951
Columns 1953 through 1960
1952 1953 1954 1955 1956 1957 1958 1959
Columns 1961 through 1968
1960 1961 1962 1963 1964 1965 1966 1967
Columns 1969 through 1976
1968 1969 1970 1971 1972 1973 1974 1975
Columns 1977 through 1984
1976 1977 1978 1979 1980 1981 1982 1983
Columns 1985 through 1992
1984 1985 1986 1987 1988 1989 1990 1991
Columns 1993 through 2000
1992 1993 1994 1995 1996 1997 1998 1999
Columns 2001 through 2008
2000 2001 2002 2003 2004 2005 2006 2007
Columns 2009 through 2016
2008 2009 2010 2011 2012 2013 2014 2015
Columns 2017 through 2024
2016 2017 2018 2019 2020 2021 2022 2023
Columns 2025 through 2032
2024 2025 2026 2027 2028 2029 2030 2031
Columns 2033 through 2040
2032 2033 2034 2035 2036 2037 2038 2039
Columns 2041 through 2048
2040 2041 2042 2043 2044 2045 2046 2047
Columns 2049 through 2056
2048 2049 2050 2051 2052 2053 2054 2055
Columns 2057 through 2064
2056 2057 2058 2059 2060 2061 2062 2063
Columns 2065 through 2072
2064 2065 2066 2067 2068 2069 2070 2071
Columns 2073 through 2080
2072 2073 2074 2075 2076 2077 2078 2079
Columns 2081 through 2088
2080 2081 2082 2083 2084 2085 2086 2087
Columns 2089 through 2096
2088 2089 2090 2091 2092 2093 2094 2095
Columns 2097 through 2104
2096 2097 2098 2099 2100 2101 2102 2103
Columns 2105 through 2112
2104 2105 2106 2107 2108 2109 2110 2111
Columns 2113 through 2120
2112 2113 2114 2115 2116 2117 2118 2119
Columns 2121 through 2128
2120 2121 2122 2123 2124 2125 2126 2127
Columns 2129 through 2136
2128 2129 2130 2131 2132 2133 2134 2135
Columns 2137 through 2144
2136 2137 2138 2139 2140 2141 2142 2143
Columns 2145 through 2152
2144 2145 2146 2147 2148 2149 2150 2151
Columns 2153 through 2160
2152 2153 2154 2155 2156 2157 2158 2159
Columns 2161 through 2168
2160 2161 2162 2163 2164 2165 2166 2167
Columns 2169 through 2176
2168 2169 2170 2171 2172 2173 2174 2175
Columns 2177 through 2184
2176 2177 2178 2179 2180 2181 2182 2183
Columns 2185 through 2192
2184 2185 2186 2187 2188 2189 2190 2191
Columns 2193 through 2200
2192 2193 2194 2195 2196 2197 2198 2199
Columns 2201 through 2208
2200 2201 2202 2203 2204 2205 2206 2207
Columns 2209 through 2216
2208 2209 2210 2211 2212 2213 2214 2215
Columns 2217 through 2224
2216 2217 2218 2219 2220 2221 2222 2223
Columns 2225 through 2232
2224 2225 2226 2227 2228 2229 2230 2231
Columns 2233 through 2240
2232 2233 2234 2235 2236 2237 2238 2239
Columns 2241 through 2248
2240 2241 2242 2243 2244 2245 2246 2247
Columns 2249 through 2256
2248 2249 2250 2251 2252 2253 2254 2255
Columns 2257 through 2264
2256 2257 2258 2259 2260 2261 2262 2263
Columns 2265 through 2272
2264 2265 2266 2267 2268 2269 2270 2271
Columns 2273 through 2280
2272 2273 2274 2275 2276 2277 2278 2279
Columns 2281 through 2288
2280 2281 2282 2283 2284 2285 2286 2287
Columns 2289 through 2296
2288 2289 2290 2291 2292 2293 2294 2295
Columns 2297 through 2304
2296 2297 2298 2299 2300 2301 2302 2303
Columns 2305 through 2312
2304 2305 2306 2307 2308 2309 2310 2311
Columns 2313 through 2320
2312 2313 2314 2315 2316 2317 2318 2319
Columns 2321 through 2328
2320 2321 2322 2323 2324 2325 2326 2327
Columns 2329 through 2336
2328 2329 2330 2331 2332 2333 2334 2335
Columns 2337 through 2344
2336 2337 2338 2339 2340 2341 2342 2343
Columns 2345 through 2352
2344 2345 2346 2347 2348 2349 2350 2351
Columns 2353 through 2360
2352 2353 2354 2355 2356 2357 2358 2359
Columns 2361 through 2368
2360 2361 2362 2363 2364 2365 2366 2367
Columns 2369 through 2376
2368 2369 2370 2371 2372 2373 2374 2375
Columns 2377 through 2384
2376 2377 2378 2379 2380 2381 2382 2383
Columns 2385 through 2392
2384 2385 2386 2387 2388 2389 2390 2391
Columns 2393 through 2400
2392 2393 2394 2395 2396 2397 2398 2399
Columns 2401 through 2408
2400 2401 2402 2403 2404 2405 2406 2407
Columns 2409 through 2416
2408 2409 2410 2411 2412 2413 2414 2415
Columns 2417 through 2424
2416 2417 2418 2419 2420 2421 2422 2423
Columns 2425 through 2432
2424 2425 2426 2427 2428 2429 2430 2431
Columns 2433 through 2440
2432 2433 2434 2435 2436 2437 2438 2439
Columns 2441 through 2448
2440 2441 2442 2443 2444 2445 2446 2447
Columns 2449 through 2456
2448 2449 2450 2451 2452 2453 2454 2455
Columns 2457 through 2464
2456 2457 2458 2459 2460 2461 2462 2463
Columns 2465 through 2472
2464 2465 2466 2467 2468 2469 2470 2471
Columns 2473 through 2480
2472 2473 2474 2475 2476 2477 2478 2479
Columns 2481 through 2488
2480 2481 2482 2483 2484 2485 2486 2487
Columns 2489 through 2496
2488 2489 2490 2491 2492 2493 2494 2495
Columns 2497 through 2504
2496 2497 2498 2499 2500 2501 2502 2503
Columns 2505 through 2512
2504 2505 2506 2507 2508 2509 2510 2511
Columns 2513 through 2520
2512 2513 2514 2515 2516 2517 2518 2519
Columns 2521 through 2528
2520 2521 2522 2523 2524 2525 2526 2527
Columns 2529 through 2536
2528 2529 2530 2531 2532 2533 2534 2535
Columns 2537 through 2544
2536 2537 2538 2539 2540 2541 2542 2543
Columns 2545 through 2552
2544 2545 2546 2547 2548 2549 2550 2551
Columns 2553 through 2560
2552 2553 2554 2555 2556 2557 2558 2559
Columns 2561 through 2568
2560 2561 2562 2563 2564 2565 2566 2567
Columns 2569 through 2576
2568 2569 2570 2571 2572 2573 2574 2575
Columns 2577 through 2584
2576 2577 2578 2579 2580 2581 2582 2583
Columns 2585 through 2592
2584 2585 2586 2587 2588 2589 2590 2591
Columns 2593 through 2600
2592 2593 2594 2595 2596 2597 2598 2599
Columns 2601 through 2608
2600 2601 2602 2603 2604 2605 2606 2607
Columns 2609 through 2616
2608 2609 2610 2611 2612 2613 2614 2615
Columns 2617 through 2624
2616 2617 2618 2619 2620 2621 2622 2623
Columns 2625 through 2632
2624 2625 2626 2627 2628 2629 2630 2631
Columns 2633 through 2640
2632 2633 2634 2635 2636 2637 2638 2639
Columns 2641 through 2648
2640 2641 2642 2643 2644 2645 2646 2647
Columns 2649 through 2656
2648 2649 2650 2651 2652 2653 2654 2655
Columns 2657 through 2664
2656 2657 2658 2659 2660 2661 2662 2663
Columns 2665 through 2672
2664 2665 2666 2667 2668 2669 2670 2671
Columns 2673 through 2680
2672 2673 2674 2675 2676 2677 2678 2679
Columns 2681 through 2688
2680 2681 2682 2683 2684 2685 2686 2687
Columns 2689 through 2696
2688 2689 2690 2691 2692 2693 2694 2695
Columns 2697 through 2704
2696 2697 2698 2699 2700 2701 2702 2703
Columns 2705 through 2712
2704 2705 2706 2707 2708 2709 2710 2711
Columns 2713 through 2720
2712 2713 2714 2715 2716 2717 2718 2719
Columns 2721 through 2728
2720 2721 2722 2723 2724 2725 2726 2727
Columns 2729 through 2736
2728 2729 2730 2731 2732 2733 2734 2735
Columns 2737 through 2744
2736 2737 2738 2739 2740 2741 2742 2743
Columns 2745 through 2752
2744 2745 2746 2747 2748 2749 2750 2751
Columns 2753 through 2760
2752 2753 2754 2755 2756 2757 2758 2759
Columns 2761 through 2768
2760 2761 2762 2763 2764 2765 2766 2767
Columns 2769 through 2776
2768 2769 2770 2771 2772 2773 2774 2775
Columns 2777 through 2784
2776 2777 2778 2779 2780 2781 2782 2783
Columns 2785 through 2792
2784 2785 2786 2787 2788 2789 2790 2791
Columns 2793 through 2800
2792 2793 2794 2795 2796 2797 2798 2799
Columns 2801 through 2808
2800 2801 2802 2803 2804 2805 2806 2807
Columns 2809 through 2816
2808 2809 2810 2811 2812 2813 2814 2815
Columns 2817 through 2824
2816 2817 2818 2819 2820 2821 2822 2823
Columns 2825 through 2832
2824 2825 2826 2827 2828 2829 2830 2831
Columns 2833 through 2840
2832 2833 2834 2835 2836 2837 2838 2839
Columns 2841 through 2848
2840 2841 2842 2843 2844 2845 2846 2847
Columns 2849 through 2856
2848 2849 2850 2851 2852 2853 2854 2855
Columns 2857 through 2864
2856 2857 2858 2859 2860 2861 2862 2863
Columns 2865 through 2872
2864 2865 2866 2867 2868 2869 2870 2871
Columns 2873 through 2880
2872 2873 2874 2875 2876 2877 2878 2879
Columns 2881 through 2888
2880 2881 2882 2883 2884 2885 2886 2887
Columns 2889 through 2896
2888 2889 2890 2891 2892 2893 2894 2895
Columns 2897 through 2904
2896 2897 2898 2899 2900 2901 2902 2903
Columns 2905 through 2912
2904 2905 2906 2907 2908 2909 2910 2911
Columns 2913 through 2920
2912 2913 2914 2915 2916 2917 2918 2919
Columns 2921 through 2928
2920 2921 2922 2923 2924 2925 2926 2927
Columns 2929 through 2936
2928 2929 2930 2931 2932 2933 2934 2935
Columns 2937 through 2944
2936 2937 2938 2939 2940 2941 2942 2943
Columns 2945 through 2952
2944 2945 2946 2947 2948 2949 2950 2951
Columns 2953 through 2960
2952 2953 2954 2955 2956 2957 2958 2959
Columns 2961 through 2968
2960 2961 2962 2963 2964 2965 2966 2967
Columns 2969 through 2976
2968 2969 2970 2971 2972 2973 2974 2975
Columns 2977 through 2984
2976 2977 2978 2979 2980 2981 2982 2983
Columns 2985 through 2992
2984 2985 2986 2987 2988 2989 2990 2991
Columns 2993 through 3000
2992 2993 2994 2995 2996 2997 2998 2999
Columns 3001 through 3008
3000 3001 3002 3003 3004 3005 3006 3007
Columns 3009 through 3016
3008 3009 3010 3011 3012 3013 3014 3015
Columns 3017 through 3024
3016 3017 3018 3019 3020 3021 3022 3023
Columns 3025 through 3032
3024 3025 3026 3027 3028 3029 3030 3031
Columns 3033 through 3040
3032 3033 3034 3035 3036 3037 3038 3039
Columns 3041 through 3048
3040 3041 3042 3043 3044 3045 3046 3047
Columns 3049 through 3056
3048 3049 3050 3051 3052 3053 3054 3055
Columns 3057 through 3064
3056 3057 3058 3059 3060 3061 3062 3063
Columns 3065 through 3072
3064 3065 3066 3067 3068 3069 3070 3071
Columns 3073 through 3080
3072 3073 3074 3075 3076 3077 3078 3079
Columns 3081 through 3088
3080 3081 3082 3083 3084 3085 3086 3087
Columns 3089 through 3096
3088 3089 3090 3091 3092 3093 3094 3095
Columns 3097 through 3104
3096 3097 3098 3099 3100 3101 3102 3103
Columns 3105 through 3112
3104 3105 3106 3107 3108 3109 3110 3111
Columns 3113 through 3120
3112 3113 3114 3115 3116 3117 3118 3119
Columns 3121 through 3128
3120 3121 3122 3123 3124 3125 3126 3127
Columns 3129 through 3136
3128 3129 3130 3131 3132 3133 3134 3135
Columns 3137 through 3144
3136 3137 3138 3139 3140 3141 3142 3143
Columns 3145 through 3152
3144 3145 3146 3147 3148 3149 3150 3151
Columns 3153 through 3160
3152 3153 3154 3155 3156 3157 3158 3159
Columns 3161 through 3168
3160 3161 3162 3163 3164 3165 3166 3167
Columns 3169 through 3176
3168 3169 3170 3171 3172 3173 3174 3175
Columns 3177 through 3184
3176 3177 3178 3179 3180 3181 3182 3183
Columns 3185 through 3192
3184 3185 3186 3187 3188 3189 3190 3191
Columns 3193 through 3200
3192 3193 3194 3195 3196 3197 3198 3199
Columns 3201 through 3208
3200 3201 3202 3203 3204 3205 3206 3207
Columns 3209 through 3216
3208 3209 3210 3211 3212 3213 3214 3215
Columns 3217 through 3224
3216 3217 3218 3219 3220 3221 3222 3223
Columns 3225 through 3232
3224 3225 3226 3227 3228 3229 3230 3231
Columns 3233 through 3240
3232 3233 3234 3235 3236 3237 3238 3239
Columns 3241 through 3248
3240 3241 3242 3243 3244 3245 3246 3247
Columns 3249 through 3256
3248 3249 3250 3251 3252 3253 3254 3255
Columns 3257 through 3264
3256 3257 3258 3259 3260 3261 3262 3263
Columns 3265 through 3272
3264 3265 3266 3267 3268 3269 3270 3271
Columns 3273 through 3280
3272 3273 3274 3275 3276 3277 3278 3279
Columns 3281 through 3288
3280 3281 3282 3283 3284 3285 3286 3287
Columns 3289 through 3296
3288 3289 3290 3291 3292 3293 3294 3295
Columns 3297 through 3304
3296 3297 3298 3299 3300 3301 3302 3303
Columns 3305 through 3312
3304 3305 3306 3307 3308 3309 3310 3311
Columns 3313 through 3320
3312 3313 3314 3315 3316 3317 3318 3319
Columns 3321 through 3328
3320 3321 3322 3323 3324 3325 3326 3327
Columns 3329 through 3336
3328 3329 3330 3331 3332 3333 3334 3335
Columns 3337 through 3344
3336 3337 3338 3339 3340 3341 3342 3343
Columns 3345 through 3352
3344 3345 3346 3347 3348 3349 3350 3351
Columns 3353 through 3360
3352 3353 3354 3355 3356 3357 3358 3359
Columns 3361 through 3368
3360 3361 3362 3363 3364 3365 3366 3367
Columns 3369 through 3376
3368 3369 3370 3371 3372 3373 3374 3375
Columns 3377 through 3384
3376 3377 3378 3379 3380 3381 3382 3383
Columns 3385 through 3392
3384 3385 3386 3387 3388 3389 3390 3391
Columns 3393 through 3400
3392 3393 3394 3395 3396 3397 3398 3399
Columns 3401 through 3408
3400 3401 3402 3403 3404 3405 3406 3407
Columns 3409 through 3416
3408 3409 3410 3411 3412 3413 3414 3415
Columns 3417 through 3424
3416 3417 3418 3419 3420 3421 3422 3423
Columns 3425 through 3432
3424 3425 3426 3427 3428 3429 3430 3431
Columns 3433 through 3440
3432 3433 3434 3435 3436 3437 3438 3439
Columns 3441 through 3448
3440 3441 3442 3443 3444 3445 3446 3447
Columns 3449 through 3456
3448 3449 3450 3451 3452 3453 3454 3455
Columns 3457 through 3464
3456 3457 3458 3459 3460 3461 3462 3463
Columns 3465 through 3472
3464 3465 3466 3467 3468 3469 3470 3471
Columns 3473 through 3480
3472 3473 3474 3475 3476 3477 3478 3479
Columns 3481 through 3488
3480 3481 3482 3483 3484 3485 3486 3487
Columns 3489 through 3496
3488 3489 3490 3491 3492 3493 3494 3495
Columns 3497 through 3504
3496 3497 3498 3499 3500 3501 3502 3503
Columns 3505 through 3512
3504 3505 3506 3507 3508 3509 3510 3511
Columns 3513 through 3520
3512 3513 3514 3515 3516 3517 3518 3519
Columns 3521 through 3528
3520 3521 3522 3523 3524 3525 3526 3527
Columns 3529 through 3536
3528 3529 3530 3531 3532 3533 3534 3535
Columns 3537 through 3544
3536 3537 3538 3539 3540 3541 3542 3543
Columns 3545 through 3552
3544 3545 3546 3547 3548 3549 3550 3551
Columns 3553 through 3560
3552 3553 3554 3555 3556 3557 3558 3559
Columns 3561 through 3568
3560 3561 3562 3563 3564 3565 3566 3567
Columns 3569 through 3576
3568 3569 3570 3571 3572 3573 3574 3575
Columns 3577 through 3584
3576 3577 3578 3579 3580 3581 3582 3583
Columns 3585 through 3592
3584 3585 3586 3587 3588 3589 3590 3591
Columns 3593 through 3600
3592 3593 3594 3595 3596 3597 3598 3599
Columns 3601 through 3608
3600 3601 3602 3603 3604 3605 3606 3607
Columns 3609 through 3616
3608 3609 3610 3611 3612 3613 3614 3615
Columns 3617 through 3624
3616 3617 3618 3619 3620 3621 3622 3623
Columns 3625 through 3632
3624 3625 3626 3627 3628 3629 3630 3631
Columns 3633 through 3640
3632 3633 3634 3635 3636 3637 3638 3639
Columns 3641 through 3648
3640 3641 3642 3643 3644 3645 3646 3647
Columns 3649 through 3656
3648 3649 3650 3651 3652 3653 3654 3655
Columns 3657 through 3664
3656 3657 3658 3659 3660 3661 3662 3663
Columns 3665 through 3672
3664 3665 3666 3667 3668 3669 3670 3671
Columns 3673 through 3680
3672 3673 3674 3675 3676 3677 3678 3679
Columns 3681 through 3688
3680 3681 3682 3683 3684 3685 3686 3687
Columns 3689 through 3696
3688 3689 3690 3691 3692 3693 3694 3695
Columns 3697 through 3704
3696 3697 3698 3699 3700 3701 3702 3703
Columns 3705 through 3712
3704 3705 3706 3707 3708 3709 3710 3711
Columns 3713 through 3720
3712 3713 3714 3715 3716 3717 3718 3719
Columns 3721 through 3728
3720 3721 3722 3723 3724 3725 3726 3727
Columns 3729 through 3736
3728 3729 3730 3731 3732 3733 3734 3735
Columns 3737 through 3744
3736 3737 3738 3739 3740 3741 3742 3743
Columns 3745 through 3752
3744 3745 3746 3747 3748 3749 3750 3751
Columns 3753 through 3760
3752 3753 3754 3755 3756 3757 3758 3759
Columns 3761 through 3768
3760 3761 3762 3763 3764 3765 3766 3767
Columns 3769 through 3776
3768 3769 3770 3771 3772 3773 3774 3775
Columns 3777 through 3784
3776 3777 3778 3779 3780 3781 3782 3783
Columns 3785 through 3792
3784 3785 3786 3787 3788 3789 3790 3791
Columns 3793 through 3800
3792 3793 3794 3795 3796 3797 3798 3799
Columns 3801 through 3808
3800 3801 3802 3803 3804 3805 3806 3807
Columns 3809 through 3816
3808 3809 3810 3811 3812 3813 3814 3815
Columns 3817 through 3824
3816 3817 3818 3819 3820 3821 3822 3823
Columns 3825 through 3832
3824 3825 3826 3827 3828 3829 3830 3831
Columns 3833 through 3840
3832 3833 3834 3835 3836 3837 3838 3839
Columns 3841 through 3848
3840 3841 3842 3843 3844 3845 3846 3847
Columns 3849 through 3856
3848 3849 3850 3851 3852 3853 3854 3855
Columns 3857 through 3864
3856 3857 3858 3859 3860 3861 3862 3863
Columns 3865 through 3872
3864 3865 3866 3867 3868 3869 3870 3871
Columns 3873 through 3880
3872 3873 3874 3875 3876 3877 3878 3879
Columns 3881 through 3888
3880 3881 3882 3883 3884 3885 3886 3887
Columns 3889 through 3896
3888 3889 3890 3891 3892 3893 3894 3895
Columns 3897 through 3904
3896 3897 3898 3899 3900 3901 3902 3903
Columns 3905 through 3912
3904 3905 3906 3907 3908 3909 3910 3911
Columns 3913 through 3920
3912 3913 3914 3915 3916 3917 3918 3919
Columns 3921 through 3928
3920 3921 3922 3923 3924 3925 3926 3927
Columns 3929 through 3936
3928 3929 3930 3931 3932 3933 3934 3935
Columns 3937 through 3944
3936 3937 3938 3939 3940 3941 3942 3943
Columns 3945 through 3952
3944 3945 3946 3947 3948 3949 3950 3951
Columns 3953 through 3960
3952 3953 3954 3955 3956 3957 3958 3959
Columns 3961 through 3968
3960 3961 3962 3963 3964 3965 3966 3967
Columns 3969 through 3976
3968 3969 3970 3971 3972 3973 3974 3975
Columns 3977 through 3984
3976 3977 3978 3979 3980 3981 3982 3983
Columns 3985 through 3992
3984 3985 3986 3987 3988 3989 3990 3991
Columns 3993 through 4000
3992 3993 3994 3995 3996 3997 3998 3999
Columns 4001 through 4008
4000 4001 4002 4003 4004 4005 4006 4007
Columns 4009 through 4016
4008 4009 4010 4011 4012 4013 4014 4015
Columns 4017 through 4024
4016 4017 4018 4019 4020 4021 4022 4023
Columns 4025 through 4032
4024 4025 4026 4027 4028 4029 4030 4031
Columns 4033 through 4040
4032 4033 4034 4035 4036 4037 4038 4039
Columns 4041 through 4048
4040 4041 4042 4043 4044 4045 4046 4047
Columns 4049 through 4056
4048 4049 4050 4051 4052 4053 4054 4055
Columns 4057 through 4064
4056 4057 4058 4059 4060 4061 4062 4063
Columns 4065 through 4072
4064 4065 4066 4067 4068 4069 4070 4071
Columns 4073 through 4080
4072 4073 4074 4075 4076 4077 4078 4079
Columns 4081 through 4088
4080 4081 4082 4083 4084 4085 4086 4087
Columns 4089 through 4096
4088 4089 4090 4091 4092 4093 4094 4095
Column 4097
4096
edges(1:10)
ans =
0 1 2 3 4 5 6 7 8 9
help histc
HISTC Histogram count.
N = HISTC(X,EDGES), for vector X, counts the number of values in X
that fall between the elements in the EDGES vector (which must contain
monotonically non-decreasing values). N is a LENGTH(EDGES) vector
containing these counts.
N(k) will count the value X(i) if EDGES(k) <= X(i) < EDGES(k+1). The
last bin will count any values of X that match EDGES(end). Values
outside the values in EDGES are not counted. Use -inf and inf in
EDGES to include all non-NaN values.
For matrices, HISTC(X,EDGES) is a matrix of column histogram counts.
For N-D arrays, HISTC(X,EDGES) operates along the first non-singleton
dimension.
HISTC(X,EDGES,DIM) operates along the dimension DIM.
[N,BIN] = HISTC(X,EDGES,...) also returns an index matrix BIN. If X is a
vector, N(K) = SUM(BIN==K). BIN is zero for out of range values. If X
is an m-by-n matrix, then,
for j=1:n, N(K,j) = SUM(BIN(:,j)==K); end
Use BAR(EDGES,N,'histc') to plot the histogram.
Example:
histc(pascal(3),1:6) produces the array [3 1 1;
0 1 0;
0 1 1;
0 0 0;
0 0 0;
0 0 1]
Class support for inputs X,EDGES:
float: double, single
See also hist.
Reference page in Help browser
doc histc
man reshape
??? Undefined command/function 'man'.
help reshape
RESHAPE Change size.
RESHAPE(X,M,N) returns the M-by-N matrix whose elements
are taken columnwise from X. An error results if X does
not have M*N elements.
RESHAPE(X,M,N,P,...) returns an N-D array with the same
elements as X but reshaped to have the size M-by-N-by-P-by-...
M*N*P*... must be the same as PROD(SIZE(X)).
RESHAPE(X,[M N P ...]) is the same thing.
RESHAPE(X,...,[],...) calculates the length of the dimension
represented by [], such that the product of the dimensions
equals PROD(SIZE(X)). PROD(SIZE(X)) must be evenly divisible
by the product of the known dimensions. You can use only one
occurrence of [].
In general, RESHAPE(X,SIZ) returns an N-D array with the same
elements as X but reshaped to the size SIZ. PROD(SIZ) must be
the same as PROD(SIZE(X)).
See also squeeze, shiftdim, colon.
Overloaded functions or methods (ones with the same name in other directories)
help zpk/reshape.m
help tf/reshape.m
help ss/reshape.m
help frd/reshape.m
Reference page in Help browser
doc reshape
help histc
HISTC Histogram count.
N = HISTC(X,EDGES), for vector X, counts the number of values in X
that fall between the elements in the EDGES vector (which must contain
monotonically non-decreasing values). N is a LENGTH(EDGES) vector
containing these counts.
N(k) will count the value X(i) if EDGES(k) <= X(i) < EDGES(k+1). The
last bin will count any values of X that match EDGES(end). Values
outside the values in EDGES are not counted. Use -inf and inf in
EDGES to include all non-NaN values.
For matrices, HISTC(X,EDGES) is a matrix of column histogram counts.
For N-D arrays, HISTC(X,EDGES) operates along the first non-singleton
dimension.
HISTC(X,EDGES,DIM) operates along the dimension DIM.
[N,BIN] = HISTC(X,EDGES,...) also returns an index matrix BIN. If X is a
vector, N(K) = SUM(BIN==K). BIN is zero for out of range values. If X
is an m-by-n matrix, then,
for j=1:n, N(K,j) = SUM(BIN(:,j)==K); end
Use BAR(EDGES,N,'histc') to plot the histogram.
Example:
histc(pascal(3),1:6) produces the array [3 1 1;
0 1 0;
0 1 1;
0 0 0;
0 0 0;
0 0 1]
Class support for inputs X,EDGES:
float: double, single
See also hist.
Reference page in Help browser
doc histc
[N0,bin0] = histc(CI(ind),edges);
N0
N0 =
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figure, stem(N0);
[N1,bin1] = histc(CI(ind0),edges);
hold;
Current plot held
stem(N1,'r');
figure, stem(N0/sum(N0));
hold; stem(N1/sum(N1),'r');
Current plot held
ind-ci = find(CI>1500);
??? ind-ci = find(CI>1500);
|
Error: The expression to the left of the equals sign is not a valid target for an assignment.
indci = find(CI>1500);
Ic = I;
indci0 = find(CI<1500);
Ic(indci0) = 0;
Ic(indci0+240*320) = 0;
Ic(indci0+2*240*320) = 0;
figure, imshow(Ic);
indci1 = find(CI<1200);
Ic1 = I;
Ic1(indci1) = 0;
Ic1(indci1+2*240*320) = 0;
Ic1(indci1+240*320) = 0;
figure, imshow(Ic1);
indci2 = find(CI<1000);
Ic2 = I; Ic2(indci2) = 0;
Ic2(indci2+2*240*320) = 0;
Ic2(indci2+240*320) = 0;
figure, imshow(Ic2);
ls
ASL-1.jpg ASL-C.jpg ASL-O.jpg diary out17.jpg out26.jpg
ASL-2.jpg ASL-D.jpg ASL-P.jpg oct-13-05.txt out18.jpg out27.jpg
ASL-3.jpg ASL-F.jpg ASL-Q.jpg out1.jpg out19.jpg out28.jpg
ASL-4.jpg ASL-G.jpg ASL-R.jpg out10.jpg out2.jpg out3.jpg
ASL-5.jpg ASL-H.jpg ASL-U.jpg out11.jpg out20.jpg out4.jpg
ASL-6.jpg ASL-I.jpg ASL-V.jpg out12.jpg out21.jpg out5.jpg
ASL-7.jpg ASL-K.jpg ASL-W.jpg out13.jpg out22.jpg out6.jpg
ASL-8.jpg ASL-L.jpg ASL-Y.jpg out14.jpg out23.jpg out7.jpg
ASL-9.jpg ASL-M.jpg Oct-27-05.txt out15.jpg out24.jpg out8.jpg
ASL-A.jpg ASL-N.jpg Oct-3-06.txt out16.jpg out25.jpg out9.jpg
Inew = imread('ASL-Q.jpg');
figure, imshow(Inew);
Ir = Inew(:,:,1);
Ig = uint16(Inew(:,:,2));
Ir = uint16(Inew(:,:,1));
Ib = uint16(Inew(:,:,3));
CI0 = bitshift(bitshift(Ir,-4),8) + bitshift(bitshift(Ig,-4),4) + bitshift(Ib,-4);
ind0 = find(CI0 < 1000);
Icnew = Inew;
Icnew(ind0) = 0;
Icnew(ind0+24*320) = 0;
Icnew = Inew;
Icnew(ind0) = 0;
Icnew(ind0+240*320) = 0;
Icnew(ind0+240*320*2) = 0;
figure, imshow(Icnew);
ind0 = find(CI0 < 1200);
Icnew(ind0) = 0;
Icnew(ind0+240*320*2) = 0;
Icnew(ind0+240*320) = 0;
figure, imshow(Icnew);
ind1 = find(CI > 0);
[N1,bin1] = histc(CI(ind1),edges);
ind0 = find(CI0 > 0);
[N0,bin0] = histc(CI0(ind0),edges);
figure, stem(N0);
ind0 = find(CI0 > 1200);
[N0,bin0] = histc(CI0(ind0),edges);
ind0 = find(CI0 < 1200);
[N0,bin0] = histc(CI0(ind0),edges);
ind1 = find(CI0 >= 1200);
[N1,bin1] = histc(CI0(ind1),edges);
figure, stem(N0/sum(N0)); hold; stem(N1/sum(N1),'r');
Current plot held
ind0 = find(CI0 < 1500);
Icnew = Inew;
Icnew(ind0) = 0;
Icnew(ind0+240*320*2) = 0;
Icnew(ind0+240*320) = 0;
figure, imshow(Icnew);
help rgb2hsv
RGB2HSV Convert red-green-blue colors to hue-saturation-value.
H = RGB2HSV(M) converts an RGB color map to an HSV color map.
Each map is a matrix with any number of rows, exactly three columns,
and elements in the interval 0 to 1. The columns of the input matrix,
M, represent intensity of red, blue and green, respectively. The
columns of the resulting output matrix, H, represent hue, saturation
and color value, respectively.
HSV = RGB2HSV(RGB) converts the RGB image RGB (3-D array) to the
equivalent HSV image HSV (3-D array).
CLASS SUPPORT
-------------
If the input is an RGB image, it can be of class uint8, uint16, or
double; the output image is of class double. If the input is a
colormap, the input and output colormaps are both of class double.
See also hsv2rgb, colormap, rgbplot.
Reference page in Help browser
doc rgb2hsv
Inew = rgb2hsv(I);
whos Inew
Name Size Bytes Class
Inew 240x320x3 1843200 double array
Grand total is 230400 elements using 1843200 bytes
max(Inew(:,:,2))
ans =
Columns 1 through 9
0.8750 0.7982 0.8350 0.8000 0.8529 0.8318 0.8485 0.8317 0.7879
Columns 10 through 18
0.8230 0.8247 0.8087 0.7830 0.8103 0.8750 0.8350 0.8265 0.8396
Columns 19 through 27
0.8349 0.7905 0.8246 0.8037 0.7934 0.7843 0.8155 0.7941 0.7593
Columns 28 through 36
0.8037 0.7925 0.7719 0.8182 0.8083 0.8393 0.7957 0.8230 0.8125
Columns 37 through 45
0.8265 0.8056 0.8214 0.8241 0.7576 0.8151 0.7797 0.7750 0.8165
Columns 46 through 54
0.8198 0.8208 0.8529 0.8526 0.7624 0.7798 0.7812 0.7850 0.7400
Columns 55 through 63
0.7788 0.7925 0.7925 0.7925 0.7900 0.8557 0.7876 0.8053 0.7895
Columns 64 through 72
0.8365 0.8120 0.7938 0.8000 0.8037 0.8091 0.7807 0.7895 0.7798
Columns 73 through 81
0.8061 0.8584 0.8148 0.8544 0.8091 0.7810 0.8586 0.8148 0.7778
Columns 82 through 90
0.7797 0.8039 0.7686 0.7742 0.7909 0.8182 0.7982 0.7712 0.7699
Columns 91 through 99
0.7798 0.8077 0.7850 0.8269 0.7921 0.7757 0.7547 0.7568 0.7723
Columns 100 through 108
0.7739 0.7766 0.8462 0.8000 0.8000 0.7886 0.7805 0.7812 0.7563
Columns 109 through 117
0.7727 0.7863 0.7699 0.7699 0.8018 0.8065 0.7767 0.7961 0.8056
Columns 118 through 126
0.8158 0.8351 0.8298 0.7895 0.8000 0.7909 0.7909 0.8000 0.7658
Columns 127 through 135
0.8113 0.7959 0.8246 0.8333 0.8095 0.7732 0.7838 0.8142 0.8214
Columns 136 through 144
0.8077 0.7885 0.7830 0.8061 0.8105 0.7670 0.7670 0.7624 0.7739
Columns 145 through 153
0.8053 0.8273 0.7818 0.7818 0.7949 0.7759 0.7705 0.7807 0.7778
Columns 154 through 162
0.8053 0.7917 0.8000 0.8018 0.8241 0.8283 0.8108 0.7802 0.7778
Columns 163 through 171
0.7547 0.7647 0.7961 0.7944 0.8020 0.7658 0.8058 0.7944 0.7525
Columns 172 through 180
0.7500 0.7568 0.7723 0.8087 0.7778 0.7822 0.8061 0.7455 0.7664
Columns 181 through 189
0.7739 0.7542 0.7672 0.7257 0.8660 0.7692 0.7479 0.7909 0.7458
Columns 190 through 198
0.8053 0.8148 0.8621 0.7798 0.8200 0.7440 0.7500 0.8142 0.8155
Columns 199 through 207
0.7519 0.7520 0.7440 0.7724 0.7440 0.7398 0.7788 0.7561 0.7583
Columns 208 through 216
0.7815 0.7778 0.7982 0.7941 0.8070 0.8727 0.8257 0.7524 0.7797
Columns 217 through 225
0.8051 0.7963 0.7941 0.7851 0.7944 0.7967 0.8095 0.7778 0.7921
Columns 226 through 234
0.8053 0.7757 0.7826 0.7719 0.7876 0.7881 0.7885 0.7761 0.8220
Columns 235 through 243
0.7959 0.7570 0.7679 0.7750 0.7634 0.7561 0.8505 0.7857 0.8125
Columns 244 through 252
0.7627 0.7982 0.7778 0.8351 0.8476 0.7593 0.8119 0.8155 0.7870
Columns 253 through 261
0.8000 0.7863 0.7931 0.8190 0.7934 0.7890 0.7863 0.8200 0.7750
Columns 262 through 270
0.7636 0.8319 0.8095 0.7863 0.7981 0.7387 0.7870 0.7538 0.8288
Columns 271 through 279
0.7778 0.7807 0.8224 0.8087 0.7881 0.7845 0.7925 0.7963 0.8252
Columns 280 through 288
0.7934 0.7833 0.7788 0.7619 0.8462 0.8600 0.7818 0.7719 0.8229
Columns 289 through 297
0.8165 0.8244 0.8033 0.8288 0.7917 0.8364 0.8609 0.7920 0.8051
Columns 298 through 306
0.8763 0.8318 0.8381 0.8598 0.8679 0.8077 0.8261 0.8000 0.8407
Columns 307 through 315
0.8000 0.8208 0.8364 0.8515 0.8018 0.8454 0.7982 0.9560 0.8241
Columns 316 through 320
0.8962 0.8900 0.8932 0.8846 0.8350
graythresh(Inew(:,:,2))
ans =
0.4118
Inew_bw = im2bw(Inew(:,:,2), graythresh(Inew(:,:,2)));
figure, imshow(Inew_bw);
I1 = imread('ASL-Q.jpg');
Inew1 = rgb2hsv(I1);
Inew_bw1 = im2bw(Inew1(:,:,2), graythresh(Inew1(:,:,2)));
figure, imshow(Inew_bw1);
figure, imhist(Inew1(:,:,2));
figure, imhist(Inew1(:,:,1));
Inew_bw1 = im2bw(Inew1(:,:,1), graythresh(Inew1(:,:,1)));
figure, imshow(Inew_bw1);
I = imread('ASL-1.jpg');
I = double(I);
Irc = I(:,:,1) ./ (I(:,:,1) + I(:,:,2) + I(:,:,3));
Igc = I(:,:,2) ./ (I(:,:,1) + I(:,:,2) + I(:,:,3));
max(max(Irc))
ans =
0.3858
max(max(Igc))
ans =
0.3761
h = zeros(40);
for i=1:240,
for j = 1:320,
rc = uint8(Irc(i,j) * 100);
gc = uint8(Igc(i,j) * 100);
h(rc+1,gc+1) = h(rc+1,gc+1);
end;
end;
figure, mesh(h);
for i=1:240,
for j = 1:320,
rc = uint8(Irc(i,j) * 100);
gc = uint8(Igc(i,j) * 100);
h(rc+1,gc+1) = h(rc+1,gc+1)+1;
end;
end;
figure, mesh(h);
figure, mesh(h);
figure, plot(h(30,:))
figure, plot(h(20,:))
figure, plot(h(:,20))
figure, plot(h(:,30))
figure, plot(h(:,25))
figure, plot(h(:,35))
figure, plot(h(35,:))
figure, plot(h(25,:))
figure, plot(h(:,25))
hold;
Current plot held
plot(h(:,30),'g')
plot(h(:,35),'c')
ind0 = find(Irc < 0.25);
figure, imshow(I);
figure, imshow(uint8(I));
I =imread('ASL-1.jpg');
Ic = I;
Ic(ind0) = 0;
Ic(ind0+24*320) = 0;
Ic = I;
Ic(ind0) = 0;
Ic(ind0+240*320) = 0;
Ic(ind0+240*320*2) = 0;
figure, imshow(Ic);
I =imread('ASL-Q.jpg');
Irc = I(:,:,1) ./ (I(:,:,1) + I(:,:,2) + I(:,:,3));
ind0 = find(Irc < 0.25);
Ic = I;
Ic(ind0) = 0;
Ic(ind0+240*320*2) = 0;
Ic(ind0+240*320) = 0;
figure, imshow(Ic);
I =imread('ASL-Q.jpg');
I0 = double(I0);
??? Undefined function or variable "I0".
I0 = double(I);
Irc = I0(:,:,1) ./ (I0(:,:,1) + I0(:,:,2) + I0(:,:,3));
ind0 = find(Irc < 0.25);
Ic(ind0+240*320) = 0;
Ic = I;
Ic(ind0) = 0;
Ic(ind0+240*320*2) = 0;
Ic(ind0+240*320) = 0;
figure, imshow(Ic);
diary