DocumentCode :
3104763
Title :
Conformal geometric methods in computer vision
Author :
Zeng, Wei ; Gu, David X.
Author_Institution :
Dept. of Comput. Sci., Stony Brook Univ., Stony Brook, NY, USA
fYear :
2011
fDate :
2-3 Nov. 2011
Firstpage :
1
Lastpage :
6
Abstract :
Shape analysis has fundamental importance in computer vision, including surface matching, registration, tracking, classification, recognition, etc. Computational methods based on conformal geometry can map any 3D surface to a 2D canonical domain. They provide a novel approach to 3D problems by converting them to 2D problems, which greatly simplifies the computation process. With this framework, we present a series of matching and registration methods for general surfaces, especially with large non-rigid deformations and complicated topologies. In addition, we introduce a global and unique shape signature for shape recognition applications. Experiments on a variety of real scans from different equipments demonstrate the efficiency and efficacy of the conformal geometric methods in computer vision applications.
Keywords :
computer vision; geometry; image classification; image matching; image registration; object tracking; shape recognition; 2D canonical domain; 2D problems; 3D problems; 3D surface; computer vision; conformal geometric methods; shape analysis; shape recognition applications; shape signature; surface classification; surface matching; surface registration; surface tracking; Conformal mapping; Geometry; Harmonic analysis; Measurement; Shape; Surface treatment; Three dimensional displays; Conformal mapping; Diffeomorphism; Quasi-conformal mapping; Surface matching; Surface registration;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Emerging Technologies for a Smarter World (CEWIT), 2011 8th International Conference & Expo on
Conference_Location :
New York, NY
Print_ISBN :
978-1-4577-1592-1
Electronic_ISBN :
978-1-4577-1590-7
Type :
conf
DOI :
10.1109/CEWIT.2011.6135892
Filename :
6135892
Link To Document :
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