Cross-parameterization and compatible remeshing of 3D models

By Vladislav Kraevoy, Alla Sheffer. ACM Transactions on Graphics, 2004

405 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design

View Paper: https://www.semanticscholar.org/paper/4e8f4e43fcfa39525341f57d778cc7a16855b339

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In Computational Mechanics

In Computer Graphics and Computer-Aided Design

Citations in the corpus

Numerical Computation of Surface Conformal Mappings (2012, background): “In the computer graphics ﬁeld, thorough surveys on surface conformal mappings for topological disks or topological spheres can be found in [24] and [45].”
FoldingNet: Point Cloud Auto-Encoder via Deep Grid Deformation (2017, background): “A natural question to ask is whether we can parameterize 3D points with compatible meshes that are not necessarily regular grids, such as cross-parametrization [30].”
Mesh parameterization: theory and practice (2007, background): “Historically, the most popular non-planar base domain has been a simplicial complex [Lee et al., 1998, 1999; Guskov et al., 2000, 2002; Lee et al., 2000; Praun et al., 2001; Khodakovsky et al., 2003; Purnomo et al., 2004; Schreiner et al., 2004; Kraevoy and Sheffer, 2004].”
Blended intrinsic maps (2011, methodology): “With such a map, it is possible to transfer attributes [Kraevoy and Sheffer 2004], study surface variations [Allen et al.”
Recent Advances in Remeshing of Surfaces (2008, methodology): “[SAPH04] use a procedure similar to that of Kraevoy and Sheffer for base mesh construction, handling models of arbitrary genus more robustly.”
Periodic global parameterization (2006, methodology): “In [Kraevoy and Sheffer 2004; Schreiner et al. 2004] a parameterization between pairs of input models is computed.”
Geometric modeling in shape space (2007, methodology): “Such meshes can be obtained using techniques from [Kraevoy and Sheffer 2004], [Schreiner et al.”
Mesh segmentation using feature point and core extraction (2005, background): “Feature points are useful in many applications, including metamorphosis [1], deformation transfer [32], mesh retrieval [37], cross-parameterization [16, 25, 27], texture mapping [17, 33], and segmentation [33, 35].”
Schelling points on 3D surface meshes (2012, methodology): “…2000], shape matching [Zhang et al. 2008], shape-based retrieval [Funkhouser and Shilane 2006], metamorphosis [Alexa 2000], cross-parameterization [Kraevoy and Sheffer 2004], texture mapping [Zhang et al. 2005], deformation transfer [Sumner and Popovic 2004], shape approximation [Lee et al.…”
Face transfer with multilinear models (2005, methodology): “Correspondence between scans might be improved with some of the methods shown in [Kraevoy and Sheffer 2004].”
High-quality passive facial performance capture using anchor frames (2011, neutral): “shapes [Kraevoy and Sheffer 2004], where the objective is to impose a triangle mesh representing one shape onto another, in a manner which minimizes distortion between the two.”
Robust 3D Shape Correspondence in the Spectral Domain (2006, methodology): “Most methods [27, 20, 21, 29] rely on the user to specify the initial feature correspondence manually.”