Skip to main content

Affine invariant erosion of 3D shapes

Publication ,  Journal Article
Betelu, S; Sapiro, G; Tannenbaum, A
Published in: Proceedings of the IEEE International Conference on Computer Vision
January 1, 2001

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.

Duke Scholars

Published In

Proceedings of the IEEE International Conference on Computer Vision

Publication Date

January 1, 2001

Volume

2

Start / End Page

174 / 180
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Betelu, S., Sapiro, G., & Tannenbaum, A. (2001). Affine invariant erosion of 3D shapes. Proceedings of the IEEE International Conference on Computer Vision, 2, 174–180.
Betelu, S., G. Sapiro, and A. Tannenbaum. “Affine invariant erosion of 3D shapes.” Proceedings of the IEEE International Conference on Computer Vision 2 (January 1, 2001): 174–80.
Betelu S, Sapiro G, Tannenbaum A. Affine invariant erosion of 3D shapes. Proceedings of the IEEE International Conference on Computer Vision. 2001 Jan 1;2:174–80.
Betelu, S., et al. “Affine invariant erosion of 3D shapes.” Proceedings of the IEEE International Conference on Computer Vision, vol. 2, Jan. 2001, pp. 174–80.
Betelu S, Sapiro G, Tannenbaum A. Affine invariant erosion of 3D shapes. Proceedings of the IEEE International Conference on Computer Vision. 2001 Jan 1;2:174–180.

Published In

Proceedings of the IEEE International Conference on Computer Vision

Publication Date

January 1, 2001

Volume

2

Start / End Page

174 / 180