DocumentCode
327804
Title
Testing for convexity with Fourier descriptors
Author
Kakarala, Ramakrishna
Author_Institution
Dept. of Electr. & Electron. Eng., Auckland Univ., New Zealand
Volume
1
fYear
1998
fDate
16-20 Aug 1998
Firstpage
792
Abstract
A shape with a twice-differentiable boundary is convex if and only if the boundary has nonnegative curvature everywhere. We show how to formulate this condition equivalently in terms of the Fourier descriptors of the boundary: The shape is convex if and only if the boundary has a nonnegative definite “parametric” curvature spectrum (defined herein)
Keywords
Fourier analysis; image processing; Fourier descriptors; convexity testing; nonnegative curvature; nonnegative definite parametric curvature spectrum; twice-differentiable boundary; Counting circuits; Fourier series; Geometry; Joining processes; Marine vehicles; Shape; Tellurium; Testing;
fLanguage
English
Publisher
ieee
Conference_Titel
Pattern Recognition, 1998. Proceedings. Fourteenth International Conference on
Conference_Location
Brisbane, Qld.
ISSN
1051-4651
Print_ISBN
0-8186-8512-3
Type
conf
DOI
10.1109/ICPR.1998.711266
Filename
711266
Link To Document