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Titlebook: Visualization and Mathematics III; Hans-Christian Hege,Konrad Polthier Conference proceedings 2003 Springer-Verlag Berlin Heidelberg 2003

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Visualizing Forman’s Discrete Vector Fieldf this work is to illustrate Forman’s theory. We intend to use some of Forman’s concepts to visually analyze the topology of an object. We present an algorithm to build a discrete gradient vector field on a cell complex as defined in Forman’s theory.
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Constructing Hamiltonian Triangle Strips on Quadrilateral Meshesmesh without boundary can be optimally represented as a single Hamiltonian generalized triangle strip cycle in multiple ways, and we discuss simple strategies to tailor the construction for transparent vertex caching.
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Geometry of the Squared Distance Function to Curves and Surfacesrve or surface. Particular emphasis is put on second order Taylor approximants and other local quadratic approximants. Their key role in a variety of geometric optimization algorithms is illustrated at hand of registration in Computer Vision and surface approximation.
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978-3-642-05682-6Springer-Verlag Berlin Heidelberg 2003
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Visualization and Mathematics III978-3-662-05105-4Series ISSN 1612-3786 Series E-ISSN 2197-666X
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