Theory and Algorithms for Constructing Discrete Morse Complexes from Grayscale Digital Images
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]
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|Source:||IEEE Transactions on Pattern Analysis and Machine Intelligence|
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