Shape transformation for polyhedral objects
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Multiresolution analysis of arbitrary meshes
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Topological evolution of surfaces
GI '96 Proceedings of the conference on Graphics interface '96
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
Introduction to Algorithms
Computer Aided Geometric Design
Feature-based Surface Decomposition for Correspondence and Morphing Between Polyhedra
CA '98 Proceedings of the Computer Animation
Merging Polyhedral Shapes with Scattered Features
SMI '99 Proceedings of the International Conference on Shape Modeling and Applications
Global conformal surface parameterization
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
ACM SIGGRAPH 2004 Papers
Cross-parameterization and compatible remeshing of 3D models
ACM SIGGRAPH 2004 Papers
ACM SIGGRAPH 2004 Papers
Greedy optimal homotopy and homology generators
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
Harmonic volumetric mapping for solid modeling applications
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Optimal pants decompositions and shortest homotopic cycles on an orientable surface
Journal of the ACM (JACM)
On Computing Handle and Tunnel Loops
CW '07 Proceedings of the 2007 International Conference on Cyberworlds
Globally Optimal Surface Mapping for Surfaces with Arbitrary Topology
IEEE Transactions on Visualization and Computer Graphics
Consistent spherical parameterization
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part II
A genus oblivious approach to cross parameterization
Computer Aided Geometric Design
Technical Section: Geometry-aware domain decomposition for T-spline-based manifold modeling
Computers and Graphics
Learning 3D mesh segmentation and labeling
ACM SIGGRAPH 2010 papers
International Journal of Computer Vision
Technical Section: Tiling surfaces with cylinders using n-loops
Computers and Graphics
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Surface matching is fundamental to shape computing and various downstream applications. This paper develops a powerful pants decomposition framework for computing maps between surfaces with arbitrary topologies. We first conduct pants decomposition on both surfaces to segment them into consistent sets of pants patches (here a pants patch is intuitively defined as a genus-zero surface with three boundaries). Then we compose global mapping between two surfaces by harmonic maps of corresponding patches. This framework has several key advantages over other state-of-the-art techniques. First, the surface decomposition is automatic and general. It can automatically construct mappings for surfaces with same but complicated topology, and the result is guaranteed to be one-to-one continuous. Second, the mapping framework is very flexible and powerful. Not only topology and geometry, but also the semantics can be easily integrated into this framework with a little user involvement. Specifically, it provides an easy and intuitive human-computer interaction mechanism so that mapping between surfaces with different topologies, or with additional point/curve constraints, can be properly obtained within our framework. Compared with previous user-guided, piecewise surface mapping techniques, our new method is more intuitive, less labor-intensive, and requires no user's expertise in computing complicated surface map between arbitrary shapes. We conduct various experiments to demonstrate its modeling potential and effectiveness.