Issue No. 04 - July/August (2010 vol. 16)
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/TVCG.2009.96
Nico Pietroni , Instituto of Science e Tecnolgie dell'Informazione, CNR-National Research Council, Pisa
Marco Tarini , Instituto of Science e Tecnolgie dell'Informazione, CNR-National Research Council, Pisa and DICOM, Universit dell'Insubria, Varese
Paolo Cignoni , Instituto of Science e Tecnolgie dell'Informazione, CNR-National Research Council, Pisa
In this paper, we propose a robust, automatic technique to build a global hi-quality parameterization of a two-manifold triangular mesh. An adaptively chosen 2D domain of the parameterization is built as part of the process. The produced parameterization exhibits very low isometric distortion, because it is globally optimized to preserve both areas and angles. The domain is a collection of equilateral triangular 2D regions enriched with explicit adjacency relationships (it is abstract in the sense that no 3D embedding is necessary). It is tailored to minimize isometric distortion, resulting in excellent parameterization qualities, even when meshes with complex shape and topology are mapped into domains composed of a small number of large continuous regions. Moreover, this domain is, in turn, remapped into a collection of 2D square regions, unlocking many advantages found in quad-based domains (e.g., ease of packing). The technique is tested on a variety of cases, including challenging ones, and compares very favorably with known approaches. An open-source implementation is made available.
Modeling, surface parameterization.
M. Tarini, P. Cignoni and N. Pietroni, "Almost Isometric Mesh Parameterization through Abstract Domains," in IEEE Transactions on Visualization & Computer Graphics, vol. 16, no. , pp. 621-635, 2009.