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
APA
Chicago
ICMJE
MLA
NLM
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