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Anisotropic Sampling of Planar and Two-Manifold Domains for Texture Generation and Glyph Distribution
Zuse Institute Berlin, Germany.
Zuse Institute Berlin, Germany.
Zuse Institute Berlin, Germany.ORCID iD: 0000-0001-7285-0483
2013 (English)In: IEEE Transactions on Visualization and Computer Graphics, ISSN 1077-2626, E-ISSN 1941-0506, Vol. 19, no 11, p. 1782-1794Article in journal (Refereed) Published
Abstract [en]

We present a new method for the generation of anisotropic sample distributions on planar and two-manifold domains. Most previous work that is concerned with aperiodic point distributions is designed for isotropically shaped samples. Methods focusing on anisotropic sample distributions are rare, and either they are restricted to planar domains, are highly sensitive to the choice of parameters, or they are computationally expensive. In this paper, we present a time-efficient approach for the generation of anisotropic sample distributions that only depends on intuitive design parameters for planar and two-manifold domains. We employ an anisotropic triangulation that serves as basis for the creation of an initial sample distribution as well as for a gravitational-centered relaxation. Furthermore, we present an approach for interactive rendering of anisotropic Voronoi cells as base element for texture generation. It represents a novel and flexible visualization approach to depict metric tensor fields that can be derived from general tensor fields as well as scalar or vector fields.

Place, publisher, year, edition, pages
2013. Vol. 19, no 11, p. 1782-1794
Keywords [en]
Tensor field visualization, sampling, texture generation
National Category
Media Engineering
Identifiers
URN: urn:nbn:se:liu:diva-127661DOI: 10.1109/TVCG.2013.83PubMedID: 24029900OAI: oai:DiVA.org:liu-127661DiVA, id: diva2:926350
Available from: 2016-05-06 Created: 2016-05-06 Last updated: 2017-11-30

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Hotz, Ingrid

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