A hybrid Eulerian-Lagrangian approach for thickness, correspondence, and gridding of annular tissues

Kelvin R. Rocha, Anthony J. Yezzi, Jerry Ladd Prince

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

Abstract

We present a novel approach to efficiently compute thickness, correspondence, and gridding of tissues between two simply connected boundaries. The solution of Laplace's equation within the tissue region provides a harmonic function whose gradient flow determines the correspondence trajectories going from one boundary to the other. The proposed method uses and expands upon two recently introduced techniques in order to compute thickness and correspondences based on these trajectories. Pairs of partial differential equations (PDEs) are efficiently computed within an Eulerian framework and combined with a Lagrangian approach so that correspondences trajectories are partially constructed when necessary. Results show that the proposed technique takes advantage of both the speed of the Eulerian PDE approach and the accuracy of the Lagrangian approach.

Original languageEnglish (US)
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Pages72-81
Number of pages10
Volume3765 LNCS
DOIs
Publication statusPublished - 2005
Event1st International Workshop on Computer Vision for Biomedical Image Applications, CVBIA 2005 - Beijing, China
Duration: Oct 21 2005Oct 21 2005

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume3765 LNCS
ISSN (Print)03029743
ISSN (Electronic)16113349

Other

Other1st International Workshop on Computer Vision for Biomedical Image Applications, CVBIA 2005
CountryChina
CityBeijing
Period10/21/0510/21/05

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ASJC Scopus subject areas

  • Computer Science(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Theoretical Computer Science

Cite this

Rocha, K. R., Yezzi, A. J., & Prince, J. L. (2005). A hybrid Eulerian-Lagrangian approach for thickness, correspondence, and gridding of annular tissues. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3765 LNCS, pp. 72-81). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3765 LNCS). https://doi.org/10.1007/11569541_9