@article{7b9b01a4c72046b9ba7ffaa9f828b689,
title = "Quadrangulation of non-rigid objects using deformation metrics",
abstract = "We present a novel method to generate quad meshes for non-rigid objects. Our method takes into account the geometry of a collection of key poses in one-to-one correspondence or even an entire animation sequence. From this input, on a common computational domain, an extremal metric is computed that captures the local worst case behavior in terms of distortion as the object undergoes deformation. An anisotropic, non-uniformly sized quad mesh is then generated based on this metric. This mesh avoids undersampling when deformed into any of the poses specified in the input and thus reduces artifacts. Hence, in contrast to previous approaches which target static geometry, our method aims to optimize the mesh's adaptation to the shape for every pose expected during animation or deformation rather than for one specific reference state.",
keywords = "Animation, Cross field, Mesh generation, Quad mesh, Surface parametrization",
author = "Jiaran Zhou and Marcel Campen and Denis Zorin and Changhe Tu and Silva, {Claudio T.}",
note = "Funding Information: This work was supported in part by: the Moore-Sloan Data Science Environment at NYU ; NASA ; DOE ; NSF awards CNS-1229185 , CCF-1533564 , CNS-1544753 , CNS-1730396 ; NSFC award 61332015 . J. Zhou is supported by CSC scholarship No. 201506220093 . C. T. Silva is also partially supported by the DARPA MEMEX and D3M programs. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of DARPA. The authors thank David Bommes for providing data for evaluation purposes. Funding Information: This work was supported in part by: the Moore-Sloan Data Science Environment at NYU; NASA; DOE; NSF awards CNS-1229185, CCF-1533564, CNS-1544753, CNS-1730396; NSFC award 61332015. J. Zhou is supported by CSC scholarship No. 201506220093. C. T. Silva is also partially supported by the DARPA MEMEX and D3M programs. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of DARPA. The authors thank David Bommes for providing data for evaluation purposes. Publisher Copyright: {\textcopyright} 2018 Elsevier B.V.",
year = "2018",
month = may,
doi = "10.1016/j.cagd.2018.03.003",
language = "English (US)",
volume = "62",
pages = "3--15",
journal = "Computer Aided Geometric Design",
issn = "0167-8396",
publisher = "Elsevier",
}