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Affine invariant scale-space

Publication ,  Journal Article
Sapiro, G; Tannenbaum, A
Published in: International Journal of Computer Vision
August 1, 1993

A new affine invariant scale-space for planar curves is presented in this work. The scale-space is obtained from the solution of a novel nonlinear curve evolution equation which admits affine invariant solutions. This flow was proved to be the affine analogue of the well known Euclidean shortening flow. The evolution also satisfies properties such as causality, which makes it useful in defining a scale-space. Using an efficient numerical algorithm for curve evolution, this continuous affine flow is implemented, and examples are presented. The affine-invariant progressive smoothing property of the evolution equation is demonstrated as well. © 1993 Kluwer Academic Publishers.

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Published In

International Journal of Computer Vision

DOI

EISSN

1573-1405

ISSN

0920-5691

Publication Date

August 1, 1993

Volume

11

Issue

1

Start / End Page

25 / 44

Related Subject Headings

  • Artificial Intelligence & Image Processing
  • 4611 Machine learning
  • 4607 Graphics, augmented reality and games
  • 4603 Computer vision and multimedia computation
  • 0801 Artificial Intelligence and Image Processing
 

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Sapiro, G., & Tannenbaum, A. (1993). Affine invariant scale-space. International Journal of Computer Vision, 11(1), 25–44. https://doi.org/10.1007/BF01420591
Sapiro, G., and A. Tannenbaum. “Affine invariant scale-space.” International Journal of Computer Vision 11, no. 1 (August 1, 1993): 25–44. https://doi.org/10.1007/BF01420591.
Sapiro G, Tannenbaum A. Affine invariant scale-space. International Journal of Computer Vision. 1993 Aug 1;11(1):25–44.
Sapiro, G., and A. Tannenbaum. “Affine invariant scale-space.” International Journal of Computer Vision, vol. 11, no. 1, Aug. 1993, pp. 25–44. Scopus, doi:10.1007/BF01420591.
Sapiro G, Tannenbaum A. Affine invariant scale-space. International Journal of Computer Vision. 1993 Aug 1;11(1):25–44.
Journal cover image

Published In

International Journal of Computer Vision

DOI

EISSN

1573-1405

ISSN

0920-5691

Publication Date

August 1, 1993

Volume

11

Issue

1

Start / End Page

25 / 44

Related Subject Headings

  • Artificial Intelligence & Image Processing
  • 4611 Machine learning
  • 4607 Graphics, augmented reality and games
  • 4603 Computer vision and multimedia computation
  • 0801 Artificial Intelligence and Image Processing