Building Morphological Representations for 2D and 3D Scalar Fields
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Date
2010
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
Ascending and descending Morse complexes, defined by the critical points and integral lines of a scalar field f defined on a manifold domain D, induce a subdivision of D into regions of uniform gradient flow, and thus provide a compact description of the morphology of f on D. We propose a dimension-independent representation for the ascending and descending Morse complexes, and we describe a data structure which assumes a discrete representation of the field as a simplicial mesh, that we call the incidence-based data structure. We present algorithms for building such data structure for 2D and 3D scalar fields, which make use of a watershed approach to compute the cells of the Morse decompositions.
Description
@inproceedings{:10.2312/LocalChapterEvents/ItalChap/ItalianChapConf2010/103-110,
booktitle = {Eurographics Italian Chapter Conference 2010},
editor = {Enrico Puppo and Andrea Brogni and Leila De Floriani},
title = {{Building Morphological Representations for 2D and 3D Scalar Fields}},
author = {Comic, Lidija and Floriani, Leila De and Iuricich, Federico},
year = {2010},
publisher = {The Eurographics Association},
ISBN = {978-3-905673-80-7},
DOI = {/10.2312/LocalChapterEvents/ItalChap/ItalianChapConf2010/103-110}
}