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Published in:
2008 | OriginalPaper | Chapter
Morphological Representations of Scalar Fields
Authors : Silvia Biasotti, Leila De Floriani, Bianca Falcidieno, Laura Papaleo
Published in: Shape Analysis and Structuring
Publisher: Springer Berlin Heidelberg
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We consider the problem of representing and extracting morphological information from scalar fields. We focus on the analysis and comparison of algorithms for morphological representation of both 2D and 3D scalar fields. We review algorithms which compute a decomposition of the domain of a scalar field into a
Morse
and
Morse-Smale complex
and algorithms which compute a topological representation of the level sets of a scalar field, called a
contour tree
. Extensions of the morphological representations discussed in the chapter are briefly discussed.