Affine invariant erosion of 3D shapes

S. Betelu, G. Sapiro, A. Tannenbaum

Research output: Contribution to conferencePaperpeer-review

4 Scopus citations

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.

Original languageEnglish (US)
Pages174-180
Number of pages7
StatePublished - 2001
Externally publishedYes
Event8th International Conference on Computer Vision - Vancouver, BC, United States
Duration: Jul 9 2001Jul 12 2001

Conference

Conference8th International Conference on Computer Vision
Country/TerritoryUnited States
CityVancouver, BC
Period7/9/017/12/01

All Science Journal Classification (ASJC) codes

  • Software
  • Computer Vision and Pattern Recognition

Fingerprint

Dive into the research topics of 'Affine invariant erosion of 3D shapes'. Together they form a unique fingerprint.

Cite this