An implicit surface polygonizer
Graphics gems IV
Multiresolution analysis of arbitrary meshes
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Animating soft substances with implicit surfaces
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Smoothed particles: a new paradigm for animating highly deformable bodies
Proceedings of the Eurographics workshop on Computer animation and simulation '96
ArtDefo: accurate real time deformable objects
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Solid texturing of complex surfaces
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
A fast adaptive multipole algorithm in three dimensions
Journal of Computational Physics
Consistent mesh parameterizations
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Computer Aided Geometric Design
Multiresolution Interpolation Meshes
PG '01 Proceedings of the 9th Pacific Conference on Computer Graphics and Applications
Stereological techniques for solid textures
ACM SIGGRAPH 2004 Papers
Deformation transfer for triangle meshes
ACM SIGGRAPH 2004 Papers
Mesh editing with poisson-based gradient field manipulation
ACM SIGGRAPH 2004 Papers
Cross-parameterization and compatible remeshing of 3D models
ACM SIGGRAPH 2004 Papers
ACM SIGGRAPH 2004 Papers
Point based animation of elastic, plastic and melting objects
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Meshless deformations based on shape matching
ACM SIGGRAPH 2005 Papers
Mean value coordinates for closed triangular meshes
ACM SIGGRAPH 2005 Papers
Variational tetrahedral meshing
ACM SIGGRAPH 2005 Papers
ACM SIGGRAPH 2005 Papers
Meshless animation of fracturing solids
ACM SIGGRAPH 2005 Papers
Meshless Thin-Shell Simulation Based on Global Conformal Parameterization
IEEE Transactions on Visualization and Computer Graphics
Adaptive physics based tetrahedral mesh generation using level sets
Engineering with Computers
A novel potential field based domain mapping method
ICCOMP'06 Proceedings of the 10th WSEAS international conference on Computers
Dynamic spherical volumetric simplex splins with application in biomedical simulation
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Surface matching using consistent pants decomposition
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Volumetric parameterization and trivariate b-spline fitting using harmonic functions
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Computing and Visualizing Constant-Curvature Metrics on Hyperbolic 3-Manifolds with Boundaries
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
Volumetric parameterization and trivariate B-spline fitting using harmonic functions
Computer Aided Geometric Design
Technical Section: A divide-and-conquer approach for automatic polycube map construction
Computers and Graphics
A Framework for Brain Registration via Simultaneous Surface and Volume Flow
IPMI '09 Proceedings of the 21st International Conference on Information Processing in Medical Imaging
Topology- and error-driven extension of scalar functions from surfaces to volumes
ACM Transactions on Graphics (TOG)
Polyhedral finite elements using harmonic basis functions
SGP '08 Proceedings of the Symposium on Geometry Processing
Parametric polynomial minimal surfaces of degree six with isothermal parameter
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Technical Section: Feature-aligned harmonic volumetric mapping using MFS
Computers and Graphics
A survey on CAD methods in 3D garment design
Computers in Industry
Hexahedral shell mesh construction via volumetric polycube map
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Harmonic field based volume model construction from triangle soup
Journal of Computer Science and Technology
SMI 2011: Full Paper: A topology-preserving optimization algorithm for polycube mapping
Computers and Graphics
Parameterization of star-shaped volumes using green's functions
GMP'10 Proceedings of the 6th international conference on Advances in Geometric Modeling and Processing
SMI 2012: Full As-conformal-as-possible discrete volumetric mapping
Computers and Graphics
SMI 2012: Full Local approximation of scalar functions on 3D shapes and volumetric data
Computers and Graphics
Constructing hexahedral shell meshes via volumetric polycube maps
Computer-Aided Design
Injective and bounded distortion mappings in 3D
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Journal of Computational Physics
Surface- and volume-based techniques for shape modeling and analysis
SIGGRAPH Asia 2013 Courses
Optimizing polycube domain construction for hexahedral remeshing
Computer-Aided Design
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Harmonic volumetric mapping for two solid objects establishes a one-to-one smooth correspondence between them. It finds its applications in shape registration and analysis, shape retrieval, information reuse, and material/texture transplant. In sharp contrast to harmonic surface mapping techniques, little research has been conducted for designing volumetric mapping algorithms due to its technical challenges. In this paper, we develop an automatic and effective algorithm for computing harmonic volumetric mapping between two models of the same topology. Given a boundary mapping between two models, the volumetric (interior) mapping is derived by solving a linear system constructed from a boundary method called the fundamental solution method. The mapping is represented as a set of points with different weights in the vicinity of the solid boundary. In a nutshell, our algorithm is a true meshless method (with no need of specific connectivity) and the behavior of the interior region is directly determined by the boundary. These two properties help improve the computational efficiency and robustness. Therefore, our algorithm can be applied to massive volume data sets with various geometric primitives and topological types. We demonstrate the utility and efficacy of our algorithm in shape registration, information reuse, deformation sequence analysis, tetrahedral remeshing and solid texture synthesis.