Digital Geometry and 3D Imagery: Topological methods

12:00am, September 11, Friday, 2009, ENGR 4201

Speaker

Li Chen
Associate Professor
Department of Computer Science and Information Technology
University of the District of Columbia

Abstract

In this talk, we will focus on digital geometry and topology methods of 3D image processing and computer vision. We first introduce connectivities in digital space and algorithms for component extraction. Then we discuss digital surfaces and manifolds including their recognition procedures. We will also present fast algorithms to compute invariants such as genus and homology groups for 3D objects in 3D space. Finally, we will discuss the methods for high dimensional cloud point data processing including persistent analysis and its relationship to manifold learning.

Short Bio

Dr. Li Chen is an associate professor of computer science at the University of the District of Columbia. He is currently working on problems in image segmentation algorithms, complexity analysis of algebraic groups, and the relationship between finite elements and gradually varied fitting. Li Chen received his BS, MS, and Ph.D. all in CS from Wuhan University (1982), Utah State University (1995), and the University of Bedfordshire (Luton, UK, 2001), respectively. His work includes: 1) The definitions of digital surfaces and manifolds; 2) Digital surface points classifications; and 3) The lambda-connected search algorithm for image segmentation, a dual-technique to threshold segmentation, the most popular segmentation method.