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The persistent Morse complex segmentation of a 3-manifold

Publication ,  Journal Article
Edelsbrunner, H; Harer, J
Published in: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
December 1, 2009

We describe an algorithm for segmenting three-dimensional medical imaging data modeled as a continuous function on a 3-manifold. It is related to watershed algorithms developed in image processing but is closer to its mathematical roots, which are Morse theory and homological algebra. It allows for the implicit treatment of an underlying mesh, thus combining the structural integrity of its mathematical foundations with the computational efficiency of image processing. © Springer-Verlag Berlin Heidelberg 2009.

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

December 1, 2009

Volume

5903 LNCS

Start / End Page

36 / 50

Related Subject Headings

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

Citation

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Edelsbrunner, H., & Harer, J. (2009). The persistent Morse complex segmentation of a 3-manifold. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 5903 LNCS, 36–50. https://doi.org/10.1007/978-3-642-10470-1_4
Edelsbrunner, H., and J. Harer. “The persistent Morse complex segmentation of a 3-manifold.” Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 5903 LNCS (December 1, 2009): 36–50. https://doi.org/10.1007/978-3-642-10470-1_4.
Edelsbrunner H, Harer J. The persistent Morse complex segmentation of a 3-manifold. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 2009 Dec 1;5903 LNCS:36–50.
Edelsbrunner, H., and J. Harer. “The persistent Morse complex segmentation of a 3-manifold.” Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 5903 LNCS, Dec. 2009, pp. 36–50. Scopus, doi:10.1007/978-3-642-10470-1_4.
Edelsbrunner H, Harer J. The persistent Morse complex segmentation of a 3-manifold. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 2009 Dec 1;5903 LNCS:36–50.

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

December 1, 2009

Volume

5903 LNCS

Start / End Page

36 / 50

Related Subject Headings

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