Skip to main content

Region tracking on surfaces deforming via level-sets methods

Publication ,  Conference
Bertalmio, M; Sapiro, G; Randall, G
Published in: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
January 1, 1999

Since the work by Osher and Sethian on level-sets algorithms for numerical shape evolutions, this technique has been used for a large number of applications in numerous fields. In medical imaging, this numerical technique has been successfully used for example in segmentation and cortex unfolding algorithms. The migration from a Lagrangian im- plementation to an Eulerian one via implicit representations or level-sets brought some of the main advantages of the technique, mainly, topology independence and stability. This migration means also that the evolution is parametrization free, and therefore we do not know exactly how each part of the shape is deforming, and the point-wise correspondence is lost. In this note we present a technique to numerically track regions on sur- faces that are being deformed using the level-sets method. The basic idea is to represent the region of interest as the intersection of two implicit surfaces, and then track its deformation from the deformation of these surfaces. This technique then solves one of the main shortcomings of the very useful level-sets approach. Applications include lesion localization in medical images, region tracking in functional MRI visualization, and geometric surface mapping.

Duke Scholars

Published In

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

DOI

EISSN

1611-3349

ISSN

0302-9743

Publication Date

January 1, 1999

Volume

1682

Start / End Page

330 / 338

Related Subject Headings

  • Artificial Intelligence & Image Processing
  • 46 Information and computing sciences
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Bertalmio, M., Sapiro, G., & Randall, G. (1999). Region tracking on surfaces deforming via level-sets methods. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1682, pp. 330–338). https://doi.org/10.1007/3-540-48236-9_29
Bertalmio, M., G. Sapiro, and G. Randall. “Region tracking on surfaces deforming via level-sets methods.” In Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 1682:330–38, 1999. https://doi.org/10.1007/3-540-48236-9_29.
Bertalmio M, Sapiro G, Randall G. Region tracking on surfaces deforming via level-sets methods. In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 1999. p. 330–8.
Bertalmio, M., et al. “Region tracking on surfaces deforming via level-sets methods.” Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 1682, 1999, pp. 330–38. Scopus, doi:10.1007/3-540-48236-9_29.
Bertalmio M, Sapiro G, Randall G. Region tracking on surfaces deforming via level-sets methods. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 1999. p. 330–338.

Published In

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

DOI

EISSN

1611-3349

ISSN

0302-9743

Publication Date

January 1, 1999

Volume

1682

Start / End Page

330 / 338

Related Subject Headings

  • Artificial Intelligence & Image Processing
  • 46 Information and computing sciences