Title :
Motion analysis of nonrigid surfaces
Author :
Goldgof, Dmitry B. ; Lee, Hua ; Huang, Thomas S.
Author_Institution :
Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA
Abstract :
A description is given of a curvature-based approach to motion analysis of nonrigid surfaces. Based on changes in the mean and Gaussian curvatures during the motion, it is possible to classify the motion of a surface at each point as rigid, isometric, homothetic, conformal, and general (nonconformal). The general theory of curvature changes for all types of motions is presented. Then the formula specifying changes in the Gaussian curvature during homothetic motion is derived. Also, two special cases of nonrigid motion are considered. The first case deals with piecewise rigid motion. An algorithm is presented which separates a piecewise rigid surface into its rigid parts. The second case deals with homothetic motion. A method is given to isolate regions of the surface where the homothetic assumption is violated. Both algorithms are tested on simulated data and results
Keywords :
picture processing; Gaussian curvatures; curvature-based approach; homothetic motion; mean curvature; motion analysis; nonrigid motion; nonrigid surfaces; picture processing; piecewise rigid motion; Application software; Computational modeling; Computer vision; Geometry; Humans; Motion analysis; Muscles; Robots; Taylor series; Testing;
Conference_Titel :
Computer Vision and Pattern Recognition, 1988. Proceedings CVPR '88., Computer Society Conference on
Conference_Location :
Ann Arbor, MI
Print_ISBN :
0-8186-0862-5
DOI :
10.1109/CVPR.1988.196262
