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Shape Analysis and Structuring pp 185–213Cite as

Morphological Representations of Scalar Fields

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Part of the book series: Mathematics and Visualization ((MATHVISUAL))

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.

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Author information

Authors and Affiliations

  1. Istituto di Matematica Applicata e Tecnologie Informatiche, Italian National Research Council, Genova, Italy

    Silvia Biasotti & Bianca Falcidieno

  2. Department of Computer Science (DISI), University of Genova, Genova, Italy

    Leila De Floriani & Laura Papaleo

Authors
  1. Silvia Biasotti
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  2. Leila De Floriani
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  3. Bianca Falcidieno
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  4. Laura Papaleo
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Editor information

Editors and Affiliations

  1. Department of Computer and Information Sciences (DISI), University of Genova, Via Dodecaneso, 35, 16146, Genova, Italy

    Leila De Floriani

  2. Department of Computer Science, University of Maryland, College Park, MD 20740, USA

    Leila De Floriani

  3. Istituto per la Matematica Applicata e le Tecnologie Informatiche, Consiglio Nazionale delle Ricerche, Via De Marini, 6, 16149, Genova, Italy

    Michela Spagnuolo

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Biasotti, S., De Floriani, L., Falcidieno, B., Papaleo, L. (2008). Morphological Representations of Scalar Fields. In: De Floriani, L., Spagnuolo, M. (eds) Shape Analysis and Structuring. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-33265-7_6

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