DocumentCode
3298260
Title
Affine invariant erosion of 3D shapes
Author
Betelu, Santiago ; Sapiro, Guillermo ; Tannenbaum, Allen
Author_Institution
Inst. for Math. & its Appl., Minneapolis, MN, USA
Volume
2
fYear
2001
fDate
2001
Firstpage
174
Abstract
A new definition of affine invariant erosion of 3D surfaces is introduced. Instead of being based in terms of Euclidean distances, the volumes enclosed between the surface and its chords are used. The resulting erosion is insensitive to noise, and by construction, it is affine invariant. We prove some key properties about this erosion operation, and we propose a simple method to compute the erosion of implicit surfaces. We also discuss how the affine erosion can be used to define 3D affine invariant robust skeletons
Keywords
image thinning; 3D surfaces; Euclidean distances; affine invariant erosion; erosion operation; implicit surfaces; robust skeletons; Application software; Computer vision; Filters; Mathematics; Morphological operations; Noise robustness; Shape; Skeleton; Surface morphology; Transmission line matrix methods;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Vision, 2001. ICCV 2001. Proceedings. Eighth IEEE International Conference on
Conference_Location
Vancouver, BC
Print_ISBN
0-7695-1143-0
Type
conf
DOI
10.1109/ICCV.2001.937621
Filename
937621
Link To Document