Fair morse functions for extracting the topological structure of a surface mesh
ACM SIGGRAPH 2004 Papers
ACM SIGGRAPH 2004 Papers
Mesh morphing using polycube-based cross-parameterization: Animating Geometrical Models
Computer Animation and Virtual Worlds - CASA 2005
Harmonic volumetric mapping for solid modeling applications
Proceedings of the 2007 ACM symposium on Solid and physical modeling
CGI '05 Proceedings of the Computer Graphics International 2005
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
Dual Poisson-Disk Tiling: An Efficient Method for Distributing Features on Arbitrary Surfaces
IEEE Transactions on Visualization and Computer Graphics
Discrete surface Ricci flow: theory and applications
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
IEEE Transactions on Visualization and Computer Graphics
Streaming 3D meshes using spectral geometry images
MM '09 Proceedings of the 17th ACM international conference on Multimedia
Technical Section: Feature-aligned harmonic volumetric mapping using MFS
Computers and Graphics
Hexahedral shell mesh construction via volumetric polycube map
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Modeling 3D facial expressions using geometry videos
Proceedings of the international conference on Multimedia
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
Modeling 3D articulated motions with conformal geometry videos (CGVs)
MM '11 Proceedings of the 19th ACM international conference on Multimedia
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: Mixed-element volume completion from NURBS surfaces
Computers and Graphics
Constructing hexahedral shell meshes via volumetric polycube maps
Computer-Aided Design
Proceedings of the 28th Spring Conference on Computer Graphics
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
Optimizing polycube domain construction for hexahedral remeshing
Computer-Aided Design
Fitting polynomial volumes to surface meshes with Voronoï squared distance minimization
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
Hi-index | 0.00 |
Polycube map is a global cross-surface parameterization technique, where the polycube shape can roughly approximate the geometry of modeled objects while retaining the same topology. The large variation of shape geometry and its complex topological type in real-world applications make it difficult to effectively construct a high-quality polycube that can serve as a good global parametric domain for a given object. In practice, existing polycube map construction algorithms typically require a large amount of user interaction for either pre-constructing the polycubes with great care or interactively specifying the geometric constraints to arrive at the user-satisfied maps. Hence, it is tedious and labor intensive to construct polycube maps for surfaces of complicated geometry and topology. This paper aims to develop an effective method to construct polycube maps for surfaces with complicated topology and geometry. Using our method, users can simply specify how close the target polycube mimics a given shape in a quantitative way. Our algorithm can both construct a similar polycube of high geometric fidelity and compute a high-quality polycube map in an automatic fashion. In addition, our method is theoretically guaranteed to output a one-to-one map. To demonstrate the efficacy of our method, we apply the automatically-constructed polycube maps in a number of computer graphics applications, such as seamless texture tiling, T-spline construction, and quadrilateral mesh generation.