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    Building Morphological Representations for 2D and 3D Scalar Fields

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    103-110.pdf (2.367Mb)
    Date
    2010
    Author
    Comic, Lidija
    Floriani, Leila De
    Iuricich, Federico
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    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.
    BibTeX
    @inproceedings {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}
    }
    URI
    http://dx.doi.org/10.2312/LocalChapterEvents/ItalChap/ItalianChapConf2010/103-110
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