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Stripe Parameterization of Tubular Surfaces

Please always quote using this URN:urn:nbn:de:0296-matheon-7365
  • We present a novel algorithm for automatic parameterization of tube-like surfaces of arbitrary genus such as the surfaces of knots, trees, blood vessels, neurons, or any tubular graph with a globally consistent stripe texture. We use the principal curvature frame field of the underlying tube-like surface to guide the creation of a global, topologically consistent stripe parameterization of the surface. Our algorithm extends the QuadCover algorithm and is based, first, on the use of so-called projective vector fields instead of frame fields, and second, on different types of branch points. That does not only simplify the mathematical theory, but also reduces computation time by the decomposition of the underlying stiffness matrices.

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Metadaten
Author:Felix Kälberer, Matthias Nieser, Konrad Polthier
URN:urn:nbn:de:0296-matheon-7365
Referee:Konrad Polthier
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2010/11/17
Release Date:2010/11/17
Institute:Freie Universität Berlin
Technische Universität Berlin
Preprint Number:744
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