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On the level lines and geometry of vector-valued images

Publication ,  Journal Article
Chung, DH; Sapiro, G
Published in: IEEE Signal Processing Letters
September 1, 2000
Published version (DOI)

In this letter, we extend the concept of level lines of scalar images to vector-valued data. Consistent with the scalar case, we define the level-lines of vector-valued images as the integral curves of the directions of minimal vectorial change. This direction, and the magnitude of the change, are computed using classical Riemannian geometry. As an example of the use of this new concept, we show how to visualize the basic geometry of vector-valued images with a scalar image.

Duke Scholars

Guillermo Sapiro
Author Guillermo Sapiro Electrical and Computer Engineering
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Published In

IEEE Signal Processing Letters

DOI

10.1109/97.863143

ISSN

1070-9908

Publication Date

September 1, 2000

Volume

7

Issue

9

Start / End Page

241 / 243

Related Subject Headings

  • Networking & Telecommunications
  • 4603 Computer vision and multimedia computation
  • 4009 Electronics, sensors and digital hardware
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
  • 0801 Artificial Intelligence and Image Processing
 

Citation

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Chung, D. H., & Sapiro, G. (2000). On the level lines and geometry of vector-valued images. IEEE Signal Processing Letters, 7(9), 241–243. https://doi.org/10.1109/97.863143
Chung, D. H., and G. Sapiro. “On the level lines and geometry of vector-valued images.” IEEE Signal Processing Letters 7, no. 9 (September 1, 2000): 241–43. https://doi.org/10.1109/97.863143.
Chung DH, Sapiro G. On the level lines and geometry of vector-valued images. IEEE Signal Processing Letters. 2000 Sep 1;7(9):241–3.
Chung, D. H., and G. Sapiro. “On the level lines and geometry of vector-valued images.” IEEE Signal Processing Letters, vol. 7, no. 9, Sept. 2000, pp. 241–43. Scopus, doi:10.1109/97.863143.
Chung DH, Sapiro G. On the level lines and geometry of vector-valued images. IEEE Signal Processing Letters. 2000 Sep 1;7(9):241–243.

Published In

IEEE Signal Processing Letters

DOI

10.1109/97.863143

ISSN

1070-9908

Publication Date

September 1, 2000

Volume

7

Issue

9

Start / End Page

241 / 243

Related Subject Headings

  • Networking & Telecommunications
  • 4603 Computer vision and multimedia computation
  • 4009 Electronics, sensors and digital hardware
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
  • 0801 Artificial Intelligence and Image Processing