Shape space exploration of constrained meshes

Handle URI:
http://hdl.handle.net/10754/575752
Title:
Shape space exploration of constrained meshes
Authors:
Yang, Yongliang; Yang, Yijun; Pottmann, Helmut ( 0000-0002-3195-9316 ) ; Mitra, Niloy J. ( 0000-0002-2597-0914 )
Abstract:
We present a general computational framework to locally characterize any shape space of meshes implicitly prescribed by a collection of non-linear constraints. We computationally access such manifolds, typically of high dimension and co-dimension, through first and second order approximants, namely tangent spaces and quadratically parameterized osculant surfaces. Exploration and navigation of desirable subspaces of the shape space with regard to application specific quality measures are enabled using approximants that are intrinsic to the underlying manifold and directly computable in the parameter space of the osculant surface. We demonstrate our framework on shape spaces of planar quad (PQ) meshes, where each mesh face is constrained to be (nearly) planar, and circular meshes, where each face has a circumcircle. We evaluate our framework for navigation and design exploration on a variety of inputs, while keeping context specific properties such as fairness, proximity to a reference surface, etc.
KAUST Department:
Visual Computing Center (VCC); Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Applied Mathematics and Computational Science Program
Publisher:
Association for Computing Machinery (ACM)
Journal:
Proceedings of the 2011 SIGGRAPH Asia Conference on - SA '11
Conference/Event name:
SIGGRAPH Asia 2011
Issue Date:
2011
DOI:
10.1145/2070752.2024158
Type:
Conference Paper
ISBN:
9781450308076
Appears in Collections:
Conference Papers; Applied Mathematics and Computational Science Program; Applied Mathematics and Computational Science Program; Visual Computing Center (VCC); Visual Computing Center (VCC); Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorYang, Yongliangen
dc.contributor.authorYang, Yijunen
dc.contributor.authorPottmann, Helmuten
dc.contributor.authorMitra, Niloy J.en
dc.date.accessioned2015-08-24T09:25:15Zen
dc.date.available2015-08-24T09:25:15Zen
dc.date.issued2011en
dc.identifier.isbn9781450308076en
dc.identifier.doi10.1145/2070752.2024158en
dc.identifier.urihttp://hdl.handle.net/10754/575752en
dc.description.abstractWe present a general computational framework to locally characterize any shape space of meshes implicitly prescribed by a collection of non-linear constraints. We computationally access such manifolds, typically of high dimension and co-dimension, through first and second order approximants, namely tangent spaces and quadratically parameterized osculant surfaces. Exploration and navigation of desirable subspaces of the shape space with regard to application specific quality measures are enabled using approximants that are intrinsic to the underlying manifold and directly computable in the parameter space of the osculant surface. We demonstrate our framework on shape spaces of planar quad (PQ) meshes, where each mesh face is constrained to be (nearly) planar, and circular meshes, where each face has a circumcircle. We evaluate our framework for navigation and design exploration on a variety of inputs, while keeping context specific properties such as fairness, proximity to a reference surface, etc.en
dc.publisherAssociation for Computing Machinery (ACM)en
dc.titleShape space exploration of constrained meshesen
dc.typeConference Paperen
dc.contributor.departmentVisual Computing Center (VCC)en
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.identifier.journalProceedings of the 2011 SIGGRAPH Asia Conference on - SA '11en
dc.conference.date12-15 December,2011en
dc.conference.nameSIGGRAPH Asia 2011en
dc.conference.locationHong Kong,Chinaen
kaust.authorYang, Yongliangen
kaust.authorYang, Yijunen
kaust.authorPottmann, Helmuten
kaust.authorMitra, Niloy J.en
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