Building Morphological Representations for 2D and 3D Scalar Fields

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dc.contributor.authorComic, Lidijaen_US
dc.contributor.authorFloriani, Leila Deen_US
dc.contributor.authorIuricich, Federicoen_US
dc.contributor.editorEnrico Puppo and Andrea Brogni and Leila De Florianien_US
dc.date.accessioned2014-01-27T16:34:11Z
dc.date.available2014-01-27T16:34:11Z
dc.date.issued2010en_US
dc.description.abstractAscending 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.en_US
dc.description.seriesinformationEurographics Italian Chapter Conference 2010en_US
dc.identifier.isbn978-3-905673-80-7en_US
dc.identifier.urihttps://doi.org/10.2312/LocalChapterEvents/ItalChap/ItalianChapConf2010/103-110en_US
dc.publisherThe Eurographics Associationen_US
dc.subjectCategories and Subject Descriptors (according to ACM CCS): I.3.3 [Computer Graphics]: Computational Geometry and Object Modeling-Object Representationsen_US
dc.titleBuilding Morphological Representations for 2D and 3D Scalar Fieldsen_US
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