This page contains images from the following paper:
Convex solid decomposition (Full size image) The leftmost image shows an Exact Convex Decomposition. The size and time of ACD without (top images) and with (bottom images) feature grouping are shown for a range approximation values tau. 


Convex surface decomposition (Full size image) The leftmost figure shows a result of the exact decomposition. The others are results of the approximate decomposition. 
Genus reduction
Genus reduction is a process of finding sets of edges (called handle cuts) whose removal will reduce the number of homological loops on the surface of a polyhedron. Our approach is based on the intuition that the bridges that share the same pocket tell us approximate locations of the handles, i.e., these bridges can serve as entrances to and exits from the enclosed handles. The figure on the left shows the handle cuts (in red curves) of the David model. 
Shape decomposition
The components of an ACD can also be used for shape representation. We argue that in many cases the
significance of a feature depends on its volumetric proportion to its "base". For example, a 5 cm stick on a ball
with 5 cm radius is a more significant feature than a 5 cm stick on a ball with 5 km radius. This intuition can
be captured by the concept of convexity. Unlike concavity, convexity is independent of the
size of a model and always has a value between 0 and 1.

Bear
71,372 triangles 
Dragon
871,414 triangles 

Horse
39,694 triangles 

Deformed Horse
39,694 triangles 
Related links
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