Multiresolution analysis of arbitrary meshes
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
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
Consistent mesh parameterizations
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
SMI '03 Proceedings of the Shape Modeling International 2003
Multiresolution Interpolation Meshes
PG '01 Proceedings of the 9th Pacific Conference on Computer Graphics and Applications
Matching 3D Models with Shape Distributions
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
ACM SIGGRAPH 2004 Papers
Cross-parameterization and compatible remeshing of 3D models
ACM SIGGRAPH 2004 Papers
ACM SIGGRAPH 2004 Papers
Mean value coordinates for closed triangular meshes
ACM SIGGRAPH 2005 Papers
Meshless Thin-Shell Simulation Based on Global Conformal Parameterization
IEEE Transactions on Visualization and Computer Graphics
Harmonic volumetric mapping for solid modeling applications
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Curve-Skeleton Properties, Applications, and Algorithms
IEEE Transactions on Visualization and Computer Graphics
Robust on-line computation of Reeb graphs: simplicity and speed
ACM SIGGRAPH 2007 papers
Harmonic coordinates for character articulation
ACM SIGGRAPH 2007 papers
Defining and computing curve-skeletons with medial geodesic function
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Mesh parameterization methods and their applications
Foundations and Trends® in Computer Graphics and Vision
Adaptive physics based tetrahedral mesh generation using level sets
Engineering with Computers
Skeleton extraction by mesh contraction
ACM SIGGRAPH 2008 papers
ACM SIGGRAPH 2008 papers
Volumetric parameterization and trivariate b-spline fitting using harmonic functions
Proceedings of the 2008 ACM symposium on Solid and physical modeling
User-controllable polycube map for manifold spline construction
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Globally Optimal Surface Mapping for Surfaces with Arbitrary Topology
IEEE Transactions on Visualization and Computer Graphics
Computer-Aided Design
Mesh parameterization: theory and practice
ACM SIGGRAPH ASIA 2008 courses
Harmonic 1-form based skeleton extraction from examples
Graphical Models
Variational harmonic maps for space deformation
ACM SIGGRAPH 2009 papers
Surface Mapping Using Consistent Pants Decomposition
IEEE Transactions on Visualization and Computer Graphics
Technical Section: A divide-and-conquer approach for automatic polycube map construction
Computers and Graphics
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
SMI 2011: Full Paper: A topology-preserving optimization algorithm for polycube mapping
Computers and Graphics
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
A construction of injective parameterizations of domains for isogeometric applications
Proceedings of the 2011 International Workshop on Symbolic-Numeric Computation
PolyCut: monotone graph-cuts for PolyCube base-complex construction
ACM Transactions on Graphics (TOG)
Surface- and volume-based techniques for shape modeling and analysis
SIGGRAPH Asia 2013 Courses
Hi-index | 0.00 |
We present an efficient adaptive method to compute the harmonic volumetric mapping, which establishes a smooth correspondence between two given solid objects of the same topology. We solve a sequence of charge systems based on the harmonic function theory and the method of fundamental solutions (MFS) for designing the map with boundary and feature constraints. Compared to the previous harmonic volumetric mapping computation using MFS, this new scheme is more efficient and accurate, and can support feature alignment and adaptive refinement. Our harmonic volumetric mapping paradigm is therefore more effective for practical shape modeling applications and can handle heterogeneous volumetric data. We demonstrate the efficacy of this new framework on handling volumetric data with heterogeneous structure and nontrivial topological types.