A PDE approach for thickness, correspondence, and gridding of annular tissues

Anthony Yezzi, Jerry Ladd Prince

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A novel approach for computing point correspondences and grids within annular tissues is presented based on a recently introduced technique for computing thickness in such regions. The solution of Laplace’s equation provides implicit correspondence trajectories between the bounding surfaces. Pairs of partial differential equations are then efficiently solved within an Eulerian framework for thickness, from which concentric surfaces can be constructed. Point correspondences are then computed between the outer surfaces and any surface within, providing a gridding of the annular tissue. Examples are shown for two-dimensional short-axis images of the left ventricle and three-dimensional images of the cortex.

Original languageEnglish (US)
Title of host publicationComputer Vision - ECCV 2002 - 7th European Conference on Computer Vision, Proceedings
PublisherSpringer Verlag
Pages575-589
Number of pages15
Volume2353
ISBN (Print)9783540437482
StatePublished - 2002
Event7th European Conference on Computer Vision, ECCV 2002 - Copenhagen, Denmark
Duration: May 28 2002May 31 2002

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume2353
ISSN (Print)03029743
ISSN (Electronic)16113349

Other

Other7th European Conference on Computer Vision, ECCV 2002
CountryDenmark
CityCopenhagen
Period5/28/025/31/02

Fingerprint

Correspondence
Tissue
Left Ventricle
Laplace equation
Computing
Concentric
Cortex
Laplace's equation
Partial differential equations
Partial differential equation
Trajectories
Trajectory
Grid
Three-dimensional

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science

Cite this

Yezzi, A., & Prince, J. L. (2002). A PDE approach for thickness, correspondence, and gridding of annular tissues. In Computer Vision - ECCV 2002 - 7th European Conference on Computer Vision, Proceedings (Vol. 2353, pp. 575-589). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2353). Springer Verlag.

A PDE approach for thickness, correspondence, and gridding of annular tissues. / Yezzi, Anthony; Prince, Jerry Ladd.

Computer Vision - ECCV 2002 - 7th European Conference on Computer Vision, Proceedings. Vol. 2353 Springer Verlag, 2002. p. 575-589 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2353).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Yezzi, A & Prince, JL 2002, A PDE approach for thickness, correspondence, and gridding of annular tissues. in Computer Vision - ECCV 2002 - 7th European Conference on Computer Vision, Proceedings. vol. 2353, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 2353, Springer Verlag, pp. 575-589, 7th European Conference on Computer Vision, ECCV 2002, Copenhagen, Denmark, 5/28/02.
Yezzi A, Prince JL. A PDE approach for thickness, correspondence, and gridding of annular tissues. In Computer Vision - ECCV 2002 - 7th European Conference on Computer Vision, Proceedings. Vol. 2353. Springer Verlag. 2002. p. 575-589. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
Yezzi, Anthony ; Prince, Jerry Ladd. / A PDE approach for thickness, correspondence, and gridding of annular tissues. Computer Vision - ECCV 2002 - 7th European Conference on Computer Vision, Proceedings. Vol. 2353 Springer Verlag, 2002. pp. 575-589 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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