Math @ Duke

Publications [#29132] of John Harer
Other
 with H. Edelsbrunner, Persistent Morse Complex Segmentation of a 3Manifold,
Raindrop Geomagic Technical Report, vol. 066
(2004)
(last updated on 2004/12/15)
Author's Comments: Technical Reports are equivalent to preprints
in many ways. This one will eventually be
published but right now is subject to
nondisclosure rules as it is the basis for
an STTR application to NIH and key to future
software development at the company.
Abstract: We describe a new algorithm for segmenting
3dimensional medical imaging data, which we
abstract as continuous functions on
3manifolds. The algorithm 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 its mathematical foundations
with the computational efficiency of image
processing.


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