Geometric and solid modeling: an introduction
Geometric and solid modeling: an introduction
Multiresolution analysis of arbitrary meshes
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
MAPS: multiresolution adaptive parameterization of surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Skin: a constructive approach to modeling free-form shapes
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Consistent mesh parameterizations
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Matchmaker: constructing constrained texture maps
ACM SIGGRAPH 2003 Papers
Spherical parametrization and remeshing
ACM SIGGRAPH 2003 Papers
Globally smooth parameterizations with low distortion
ACM SIGGRAPH 2003 Papers
Deformation transfer for triangle meshes
ACM SIGGRAPH 2004 Papers
Cross-parameterization and compatible remeshing of 3D models
ACM SIGGRAPH 2004 Papers
ACM SIGGRAPH 2004 Papers
Duplicate-skins for compatible mesh modelling
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Periodic global parameterization
ACM Transactions on Graphics (TOG)
Mesh parameterization methods and their applications
Foundations and Trends® in Computer Graphics and Vision
Globally Optimal Surface Mapping for Surfaces with Arbitrary Topology
IEEE Transactions on Visualization and Computer Graphics
Möbius voting for surface correspondence
ACM SIGGRAPH 2009 papers
Surface Mapping Using Consistent Pants Decomposition
IEEE Transactions on Visualization and Computer Graphics
Almost Isometric Mesh Parameterization through Abstract Domains
IEEE Transactions on Visualization and Computer Graphics
Template-Based 3D Model Fitting Using Dual-Domain Relaxation
IEEE Transactions on Visualization and Computer Graphics
Construction of Iso-Contours, Bisectors, and Voronoi Diagrams on Triangulated Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Efficient Optimization of Common Base Domains for Cross Parameterization
IEEE Transactions on Visualization and Computer Graphics
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In this paper, we propose a novel algorithm to construct common base domains for cross-parameterization constrained by anchor points. Based on the common base domains, a bijective mapping between given models can be established. Experimental results show that the distortion in a cross-parameterization generated on our common base domains is much smaller than that of a mapping on domains constructed by prior methods. Different from prior algorithms that generate domains by a heuristic of having higher priority to link the shortest paths between anchor points, we compute the surface Voronoi diagram of anchor points to find out the initial connectivity for the base domains. The final common base domains can be efficiently generated from the initial connectivity. The Voronoi diagram of the anchor points gives better cues than the heuristic of connecting shortest paths greedily.