ACM SIGGRAPH 2004 Papers
Mesh morphing using polycube-based cross-parameterization: Animating Geometrical Models
Computer Animation and Virtual Worlds - CASA 2005
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Harmonic volumetric mapping for solid modeling applications
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Topology Repair of Solid Models Using Skeletons
IEEE Transactions on Visualization and Computer Graphics
Robust on-line computation of Reeb graphs: simplicity and speed
ACM SIGGRAPH 2007 papers
Topologic and geometric constraint-based hexahedral mesh generation
Topologic and geometric constraint-based hexahedral mesh generation
Volumetric parameterization and trivariate b-spline fitting using harmonic functions
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Describing shapes by geometrical-topological properties of real functions
ACM Computing Surveys (CSUR)
Computer-Aided Design
Technical Section: Geometry-aware domain decomposition for T-spline-based manifold modeling
Computers and Graphics
Technical Section: A divide-and-conquer approach for automatic polycube map construction
Computers and Graphics
Lp Centroidal Voronoi Tessellation and its applications
ACM SIGGRAPH 2010 papers
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Editable polycube map for GPU-based subdivision surfaces
I3D '11 Symposium on Interactive 3D Graphics and Games
SMI 2011: Full Paper: A topology-preserving optimization algorithm for polycube mapping
Computers and Graphics
Boundary aligned smooth 3D cross-frame field
Proceedings of the 2011 SIGGRAPH Asia Conference
Restricted Trivariate Polycube Splines for Volumetric Data Modeling
IEEE Transactions on Visualization and Computer Graphics
Generalized Swept Mid-structure for Polygonal Models
Computer Graphics Forum
All-hex meshing using singularity-restricted field
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Biharmonic Volumetric Mapping Using Fundamental Solutions
IEEE Transactions on Visualization and Computer Graphics
Surface Mesh to Volumetric Spline Conversion with Generalized Polycubes
IEEE Transactions on Visualization and Computer Graphics
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Polycube mapping can provide regular and global parametric representations for general solid models. Automatically constructing effective polycube domains, however, is challenging. We present an algorithm for polycube construction and volumetric parameterization. The algorithm has three steps: pre-deformation, polycube construction and optimization, and mapping computation. Compared with existing polycube mapping methods, our algorithm can robustly generate desirable polycube domain shape and low-distortion volumetric parameterization. It can be used for automatic high-quality hexahedral mesh generation.