Theory and Algorithms for Constructing Discrete Morse Complexes from Grayscale Digital Images
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Robins, Vanessa; Wood, Peter J; Sheppard, Adrian
Description
We present an algorithm for determining the Morse complex of a two or three-dimensional grayscale digital image. Each cell in the Morse complex corresponds to a topological change in the level sets (i.e., a critical point) of the grayscale image. Since more than one critical point may be associated with a single image voxel, we model digital images by cubical complexes. A new homotopic algorithm is used to construct a discrete Morse function on the cubical complex that agrees with the digital...[Show more]
Collections | ANU Research Publications |
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Date published: | 2011 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/59753 |
Source: | IEEE Transactions on Pattern Analysis and Machine Intelligence |
DOI: | 10.1109/TPAMI.2011.95 |
Access Rights: | Open Access |
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File | Description | Size | Format | Image |
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RobinsWoodSheppard_revision2.pdf | 2.15 MB | Adobe PDF |
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