Free-form deformation of solid geometric models
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Extended free-form deformation: a sculpturing tool for 3D geometric modeling
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Computer Aided Geometric Design
Mean value coordinates for closed triangular meshes
ACM SIGGRAPH 2005 Papers
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
Mean value coordinates for arbitrary planar polygons
ACM Transactions on Graphics (TOG)
Harmonic coordinates for character articulation
ACM SIGGRAPH 2007 papers
ACM SIGGRAPH 2008 papers
Efficient mesh deformation using tetrahedron control mesh
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Reusable skinning templates using cage-based deformations
ACM SIGGRAPH Asia 2008 papers
Transfinite mean value interpolation
Computer Aided Geometric Design
Mesh parameterization: theory and practice
ACM SIGGRAPH ASIA 2008 courses
Variational harmonic maps for space deformation
ACM SIGGRAPH 2009 papers
Efficient mesh deformation using tetrahedron control mesh
Computer Aided Geometric Design
Space deformations, surface deformations and the opportunities in-between
Journal of Computer Science and Technology
Meshless modeling of deformable shapes and their motion
Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Transfinite mean value interpolation in general dimension
Journal of Computational and Applied Mathematics
Interactive image deformation using cage coordinates on GPU
Proceedings of the 8th International Conference on Virtual Reality Continuum and its Applications in Industry
Pointwise radial minimization: Hermite interpolation on arbitrary domains
SGP '08 Proceedings of the Symposium on Geometry Processing
Maximum entropy coordinates for arbitrary polytopes
SGP '08 Proceedings of the Symposium on Geometry Processing
Non-uniform deformation of an STL model satisfying error criteria
Computer-Aided Design
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Barycentric interpolation and mappings on smooth convex domains
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Volumetric modeling with diffusion surfaces
ACM SIGGRAPH Asia 2010 papers
Bounded biharmonic weights for real-time deformation
ACM SIGGRAPH 2011 papers
Sensitive couture for interactive garment modeling and editing
ACM SIGGRAPH 2011 papers
Compression and direct manipulation of complex blendshape models
Proceedings of the 2011 SIGGRAPH Asia Conference
Positive Gordon-Wixom coordinates
Computer-Aided Design
Multicage image deformation on GPU
Proceedings of the 10th International Conference on Virtual Reality Continuum and Its Applications in Industry
Natural image composition with inhomogeneous boundaries
PSIVT'11 Proceedings of the 5th Pacific Rim conference on Advances in Image and Video Technology - Volume Part II
Topologically correct reconstruction of tortuous contour forests
Computer-Aided Design
Smooth Shape-Aware Functions with Controlled Extrema
Computer Graphics Forum
A ray tracing approach to diffusion curves
EGSR'11 Proceedings of the Twenty-second Eurographics conference on Rendering
Computer Graphics Forum
Technical Section: Material-aware cloth simulation via constrained geometric deformation
Computers and Graphics
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
*Cages:: A multilevel, multi-cage-based system for mesh deformation
ACM Transactions on Graphics (TOG)
Iterative cage-based registration from multi-view silhouettes
Proceedings of the 10th European Conference on Visual Media Production
Surface- and volume-based techniques for shape modeling and analysis
SIGGRAPH Asia 2013 Courses
Bijective composite mean value mappings
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
| Hi-index | 0.00 |
In this paper we introduce positive mean value coordinates (PMVC) for mesh deformation. Following the observations of Joshi et al. [JMD*07] we show the advantage of having positive coordinates. The control points of the deformation are the vertices of a "cage" enclosing the deformed mesh. To define positive mean value coordinates for a given vertex, the visible portion of the cage is integrated over a sphere. Unlike MVC [JSW05], PMVC are computed numerically. We show how the PMVC integral can be efficiently computed with graphics hardware. While the properties of PMVC are similar to those of Harmonic coordinates [JMD*07], the setup time of the PMVC is only of a few seconds for typical meshes with 30K vertices. This speed-up renders the new coordinates practical and easy to use.