Surface Parameterization: a Tutorial and Survey

By Michael S. Floater, Kai Hormann. Advances in Multiresolution for Geometric Modelling, 2005

1,075 citations recorded by the source corpus.

Subfields: Computational Mechanics, Industrial and Manufacturing Engineering

View Paper: https://www.semanticscholar.org/paper/cbe6bb1df24a1e60861f745c2901db6de3d903d1

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In Computational Mechanics

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Citations in the corpus

Accelerated quadratic proxy for geometric optimization (2016, methodology): “Similarly to deformations, Parameterization algorithms aim at minimizing an energy measuring the distortion of the mapping [Floater and Hormann 2005; Sheffer et al. 2006].”
Technical Section: Discrete Laplace-Beltrami operators for shape analysis and segmentation (2009, background): “Another discretization by Floater can be found in [22], but is not a good choice for eigencomputations due to its non-symmetry.”
Frequency response functions of shape features from full-field vibration measurements using digital image correlation (2012, background): “the car bonnet, either angle or area distortion is inevitable [20,44].”
Comparison and Evaluation of Methods for Liver Segmentation From CT Datasets (2009, background): “Thus, the surface is divided into several patches that are matched using surface parameterizations [30].”
Mean value coordinates for closed triangular meshes (2005, methodology): “Mesh parameterization methods [Hormann and Greiner 2000; Desbrun et al. 2002; Khodakovsky et al. 2003; Schreiner et al. 2004; Floater and Hormann 2005] and freeform deformation methods [Sederberg and Parry 1986; Coquillart 1990; MacCracken and Joy 1996; Kobayashi and Ootsubo 2003] also make heavy…”
Periodic global parameterization (2006, methodology): “With recent advances in computer graphics hardware and digital geometry processing, parameterized surface meshes have become a widely used geometry representation (see [Floater and Hormann 2004] for a survey).”
Laplace-Beltrami Eigenfunctions Towards an Algorithm That "Understands" Geometry (2006, background): “In a certain sense, Floater’s Shape Preserving Parameterization (see [10]) is a particular case of this approach.”
A Gromov-Hausdorff Framework with Diffusion Geometry for Topologically-Robust Non-rigid Shape Matching (2010, methodology): “Different discretizations (Bobenko and Springborn 2007; Floater and Hormann 2005; Zhang 2004) of the Laplace- Beltrami lead to different choice of A and W .”
Recent Advances in Remeshing of Surfaces (2008, methodology): “We invite the reader interested in related topics to read several comprehensive courses and tutorials on subdivision surfaces [72, 92], geometric modeling [41], digital geometry processing [81, 79] morphing [2], simplification and compression [53, 28, 3] and parameterization [22].”
ABF++: fast and robust angle based flattening (2005, background): “Note that in general harmonic and conformal maps are not identical [Floater and Hormann 2004].”