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Minimal surfaces based object segmentation

Publication ,  Journal Article
Caselles, V; Kimmel, R; Sapiro, G; Sbert, C
Published in: IEEE Transactions on Pattern Analysis and Machine Intelligence
December 1, 1997
Published version (DOI)

A geometric approach for 3D object segmentation and representation is presented. The segmentation is obtained by deformable surfaces moving towards the objects to be detected in the 3D image. The model is based on curvature motion and the computation of surfaces with minimal areas better known as minimal surfaces. The space where the surfaces are computed is induced from the 3D image (volumetric data) in which the objects are to be detected. The model links between classical deformable surfaces obtained via energy minimization and intrinsic ones derived from curvature based flows. The new approach is stable robust and automatically handles changes in the surface topology during the deformation. © 1997 IEEE.

Duke Scholars

Guillermo Sapiro
Author Guillermo Sapiro Electrical and Computer Engineering
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Published In

IEEE Transactions on Pattern Analysis and Machine Intelligence

DOI

10.1109/34.588023

ISSN

0162-8828

Publication Date

December 1, 1997

Volume

19

Issue

4

Start / End Page

394 / 398

Related Subject Headings

  • Artificial Intelligence & Image Processing
  • 4611 Machine learning
  • 4603 Computer vision and multimedia computation
  • 0906 Electrical and Electronic Engineering
  • 0806 Information Systems
  • 0801 Artificial Intelligence and Image Processing
 

Citation

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Caselles, V., Kimmel, R., Sapiro, G., & Sbert, C. (1997). Minimal surfaces based object segmentation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 19(4), 394–398. https://doi.org/10.1109/34.588023
Caselles, V., R. Kimmel, G. Sapiro, and C. Sbert. “Minimal surfaces based object segmentation.” IEEE Transactions on Pattern Analysis and Machine Intelligence 19, no. 4 (December 1, 1997): 394–98. https://doi.org/10.1109/34.588023.
Caselles V, Kimmel R, Sapiro G, Sbert C. Minimal surfaces based object segmentation. IEEE Transactions on Pattern Analysis and Machine Intelligence. 1997 Dec 1;19(4):394–8.
Caselles, V., et al. “Minimal surfaces based object segmentation.” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 19, no. 4, Dec. 1997, pp. 394–98. Scopus, doi:10.1109/34.588023.
Caselles V, Kimmel R, Sapiro G, Sbert C. Minimal surfaces based object segmentation. IEEE Transactions on Pattern Analysis and Machine Intelligence. 1997 Dec 1;19(4):394–398.

Published In

IEEE Transactions on Pattern Analysis and Machine Intelligence

DOI

10.1109/34.588023

ISSN

0162-8828

Publication Date

December 1, 1997

Volume

19

Issue

4

Start / End Page

394 / 398

Related Subject Headings

  • Artificial Intelligence & Image Processing
  • 4611 Machine learning
  • 4603 Computer vision and multimedia computation
  • 0906 Electrical and Electronic Engineering
  • 0806 Information Systems
  • 0801 Artificial Intelligence and Image Processing