SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Dynamic deformation of solid primitives with constraints
SIGGRAPH '92 Proceedings of the 19th 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
Parametrization and smooth approximation of surface triangulations
Computer Aided Geometric Design
Smoothed particles: a new paradigm for animating highly deformable bodies
Proceedings of the Eurographics workshop on Computer animation and simulation '96
Graphical modeling and animation of brittle fracture
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Graphical modeling and animation of ductile fracture
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Pointshop 3D: an interactive system for point-based surface editing
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Least squares conformal maps for automatic texture atlas generation
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Computing and Rendering Point Set Surfaces
IEEE Transactions on Visualization and Computer Graphics
Computer Aided Geometric Design
Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation
Global conformal surface parameterization
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Removing excess topology from isosurfaces
ACM Transactions on Graphics (TOG)
A virtual node algorithm for changing mesh topology during simulation
ACM SIGGRAPH 2004 Papers
Fair morse functions for extracting the topological structure of a surface mesh
ACM SIGGRAPH 2004 Papers
Scalar-Function-Driven Editing on Point Set Surfaces
IEEE Computer Graphics and Applications
Point based animation of elastic, plastic and melting objects
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Optimal Global Conformal Surface Parameterization
VIS '04 Proceedings of the conference on Visualization '04
Meshless deformations based on shape matching
ACM SIGGRAPH 2005 Papers
Meshless animation of fracturing solids
ACM SIGGRAPH 2005 Papers
Real-time meshless deformation: Collision Detection and Deformable Objects
Computer Animation and Virtual Worlds - CASA 2005
Harmonic functions for quadrilateral remeshing of arbitrary manifolds
Computer Aided Geometric Design - Special issue: Geometry processing
Master-element vector irradiance for large tessellated models
GRAPHITE '05 Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Meshing point clouds using spherical parameterization
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
Finite elements on point based surfaces
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
A sampling theorem for MLS surfaces
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
Harmonic volumetric mapping for solid modeling applications
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Arbitrary cutting of deformable tetrahedralized objects
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Point-Sampled Surface Simulation Based on Mass-Spring System
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part II
Harmonic 1-form based skeleton extraction from examples
Graphical Models
Enrichment textures for detailed cutting of shells
ACM SIGGRAPH 2009 papers
MIRAGE '09 Proceedings of the 4th International Conference on Computer Vision/Computer Graphics CollaborationTechniques
Unified simulation of elastic rods, shells, and solids
ACM SIGGRAPH 2010 papers
Technical Section: Feature-aligned harmonic volumetric mapping using MFS
Computers and Graphics
SMI 2011: Full Paper: A topology-preserving optimization algorithm for polycube mapping
Computers and Graphics
Technical Section: Meshless quadrangulation by global parameterization
Computers and Graphics
A fast algorithm to compute cohomology group generators of orientable 2-manifolds
Pattern Recognition Letters
Real-time cutting simulation of meshless deformable object using dynamic bounding volume hierarchy
Computer Animation and Virtual Worlds
Adaptive fracture simulation of multi-layered thin plates
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
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This paper presents a new approach to the physically-based thin-shell simulation of point-sampled geometry via explicit, global conformal point-surface parameterization and meshless dynamics. The point-based global parameterization is founded upon the rigorous mathematics of Riemann surface theory and Hodge theory. The parameterization is globally conformal everywhere except for a minimum number of zero points. Within our parameterization framework, any well-sampled point surface is functionally equivalent to a manifold, enabling popular and powerful surface-based modeling and physically-based simulation tools to be readily adapted for point geometry processing and animation. In addition, we propose a meshless surface computational paradigm in which the partial differential equations (for dynamic physical simulation) can be applied and solved directly over point samples via Moving Least Squares (MLS) shape functions defined on the global parametric domain without explicit connectivity information. The global conformal parameterization provides a common domain to facilitate accurate meshless simulation and efficient discontinuity modeling for complex branching cracks. Through our experiments on thin-shell elastic deformation and fracture simulation, we demonstrate that our integrative method is very natural, and that it has great potential to further broaden the application scope of point-sampled geometry in graphics and relevant fields.