The persistent Morse complex segmentation of a 3-manifold

Journal Article

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.

Full Text

Duke Authors

Cited Authors

  • Edelsbrunner, H; Harer, J

Published Date

  • December 1, 2009

Published In

Volume / Issue

  • 5903 LNCS /

Start / End Page

  • 36 - 50

Electronic International Standard Serial Number (EISSN)

  • 1611-3349

International Standard Serial Number (ISSN)

  • 0302-9743

Digital Object Identifier (DOI)

  • 10.1007/978-3-642-10470-1_4

Citation Source

  • Scopus