Title :
Shape representation via harmonic embedding
Author :
Duci, Alessandro ; Yezzi, Anthony J. ; Mitter, Sanjoy K. ; Soatto, Stefano
Author_Institution :
Dept. of Comput. Sci., California Univ., Los Angeles, CA, USA
Abstract :
We present a novel representation of shape for closed planar contours explicitly designed to possess a linear structure. This greatly simplifies linear operations such as averaging, principal component analysis or differentiation in the space of shapes. The representation relies upon embedding the contour on a subset of the space of harmonic functions of which the original contour is the zero level set.
Keywords :
harmonic analysis; image representation; principal component analysis; surface fitting; closed planar contours; differentiation; harmonic embedding; principal component analysis; shape representation; zero level set; Computer science; Design engineering; Geometry; Laplace equations; Level set; Nonlinear equations; Principal component analysis; Shape; Space technology; Topology;
Conference_Titel :
Computer Vision, 2003. Proceedings. Ninth IEEE International Conference on
Conference_Location :
Nice, France
Print_ISBN :
0-7695-1950-4
DOI :
10.1109/ICCV.2003.1238410
