Direct least-squares fitting of algebraic surfaces
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Polygonization of implicit surfaces
Computer Aided Geometric Design
Analytical methods for dynamic simulation of non-penetrating rigid bodies
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
I3D '90 Proceedings of the 1990 symposium on Interactive 3D graphics
Interactive techniques for implicit modeling
I3D '90 Proceedings of the 1990 symposium on Interactive 3D graphics
Curved surfaces and coherence for non-penetrating rigid body simulation
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Volumetric shape description of range data using “Blobby Model”
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Generating textures on arbitrary surfaces using reaction-diffusion
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Generative modeling for computer graphics and CAD: symbolic shape design using interval analysis
Generative modeling for computer graphics and CAD: symbolic shape design using interval analysis
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Functional optimization for fair surface design
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Surface modeling with oriented particle systems
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Dynamic simulation of non-penetrating flexible bodies
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Through-the-lens camera control
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Physically-based methods for polygonization of implicit surfaces
Proceedings of the conference on Graphics interface '92
Higher-order interpolation and least-squares approximation using implicit algebraic surfaces
ACM Transactions on Graphics (TOG)
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
An implicit surface polygonizer
Graphics gems IV
A Generalization of Algebraic Surface Drawing
ACM Transactions on Graphics (TOG)
A modeling system based on dynamic constraints
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Fast animation and control of nonrigid structures
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
An Evaluation of Implicit Surface Tilers
IEEE Computer Graphics and Applications
Free-form shape design using triangulated surfaces
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Position-based physics: simulating the motion of many highly interacting spheres and polyhedra
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
A framework for interactive texturing on curved surfaces
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Flow and changes in appearance
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Image-guided streamline placement
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Painterly rendering for animation
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Guaranteeing the topology of an implicit surface polygonization for interactive modeling
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Dynamic implicit surface tesselation
VRST '97 Proceedings of the ACM symposium on Virtual reality software and technology
Isosurface extraction using particle systems
VIS '97 Proceedings of the 8th conference on Visualization '97
A new Voronoi-based surface reconstruction algorithm
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Surface reconstruction with anisotropic density-scaled alpha shapes
Proceedings of the conference on Visualization '98
Proceedings of the fifth ACM symposium on Solid modeling and applications
Skin: a constructive approach to modeling free-form shapes
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Visual debugging of visualization software: a case study for particle systems
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Bag-of-particles as a deformable model
VISSYM '02 Proceedings of the symposium on Data Visualisation 2002
Modelling with implicit surfaces that interpolate
ACM Transactions on Graphics (TOG)
Dynamic triangulation of variational implicit surfaces using incremental Delaunay tetrahedralization
VVS '02 Proceedings of the 2002 IEEE symposium on Volume visualization and graphics
Proceedings of the conference on Visualization '01
Efficient simplification of point-sampled surfaces
Proceedings of the conference on Visualization '02
Point-based modelling and rendering using radial basis functions
Proceedings of the 1st international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Realtime visualization of implicit objects with contact control
Proceedings of the 1st international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Animation of Deformable Models Using Implicit Surfaces
IEEE Transactions on Visualization and Computer Graphics
Line Art Illustrations of Parametric and Implicit Forms
IEEE Transactions on Visualization and Computer Graphics
The Ball-Pivoting Algorithm for Surface Reconstruction
IEEE Transactions on Visualization and Computer Graphics
Robust Creation of Implicit Surfaces from Polygonal Meshes
IEEE Transactions on Visualization and Computer Graphics
Computing and Rendering Point Set Surfaces
IEEE Transactions on Visualization and Computer Graphics
Modeling and Rendering of Points with Local Geometry
IEEE Transactions on Visualization and Computer Graphics
Curvature-Dependent Triangulation of Implicit Surfaces
IEEE Computer Graphics and Applications
Budget sampling of parametric surface patches
I3D '03 Proceedings of the 2003 symposium on Interactive 3D graphics
Journal of Computational Physics
Interactive shape design using volumetric implicit PDEs
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Human figure synthesis and animation for virtual space teleconferencing
VRAIS '95 Proceedings of the Virtual Reality Annual International Symposium (VRAIS'95)
Particle-based fluid simulation for interactive applications
Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation
Shape modeling with point-sampled geometry
ACM SIGGRAPH 2003 Papers
Provably good surface sampling and approximation
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Marching Cores: A Method for Extracting Cores from 3D Medical Images
MMBIA '96 Proceedings of the 1996 Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA '96)
Dynamic Sculpting and Deformation of Point Set Surfaces
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
Point based rendering of non-manifold surfaces with contours
Proceedings of the 2nd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Sampling and meshing a surface with guaranteed topology and geometry
SCG '04 Proceedings of the twentieth annual symposium on Computational geometry
Haptics-Based Dynamic Implicit Solid Modeling
IEEE Transactions on Visualization and Computer Graphics
Interactive blood simulation for virtual surgery based on smoothed particle hydrodynamics
Technology and Health Care
Point based animation of elastic, plastic and melting objects
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Particle-based simulation of granular materials
Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation
Teaching of image synthesis in functional style
Proceedings of the 2005 workshop on Functional and declarative programming in education
Proceedings of the 4th international symposium on Non-photorealistic animation and rendering
Feature sensitive mesh segmentation
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Reconstructing multi-scale variational partition of unity implicit surfaces with attributes
Graphical Models - Special issue on SMI 2004
Flow and changes in appearance
ACM SIGGRAPH 2006 Courses
Robust Feature Classification and Editing
IEEE Transactions on Visualization and Computer Graphics
Modelling with implicit surfaces that interpolate
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Guaranteeing the topology of an implicit surface polygonization for interactive modeling
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Using the CW-complex to represent the topological structure of implicit surfaces and solids
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
A shape design system using volumetric implicit PDEs
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Active contours using a constraint-based implicit representation
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Using particles to sample and control more complex implicit surfaces
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
A programmable particle system framework for shape modeling
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Flow and changes in appearance
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Technical Section: Stochastic visualization of intersection curves of implicit surfaces
Computers and Graphics
Twinned meshes for dynamic triangulation of implicit surfaces
GI '07 Proceedings of Graphics Interface 2007
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Journal of Computational Physics
Technical Section: Progressive refinement rendering of implicit surfaces
Computers and Graphics
Topology, Accuracy, and Quality of Isosurface Meshes Using Dynamic Particles
IEEE Transactions on Visualization and Computer Graphics
Clip Art Rendering of Smooth Isosurfaces
IEEE Transactions on Visualization and Computer Graphics
Point rendering of non-manifold surfaces with features
Proceedings of the 5th international conference on Computer graphics and interactive techniques in Australia and Southeast Asia
Real-time particle isosurface extraction
Proceedings of the 2008 symposium on Interactive 3D graphics and games
An incremental approach to feature aligned quad dominant remeshing
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Fast mesh segmentation using random walks
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Deforming point-based models using an electronic glove
Proceedings of the 2008 C3S2E conference
Particle-based fluid flow visualization on meshes
Proceedings of the 6th International Conference on Computer Graphics, Virtual Reality, Visualisation and Interaction in Africa
Computational cost of the Fekete problem I: The Forces Method on the 2-sphere
Journal of Computational Physics
Curvature-aware adaptive re-sampling for point-sampled geometry
Computer-Aided Design
Rapid and effective segmentation of 3D models using random walks
Computer Aided Geometric Design
IJCAI'01 Proceedings of the 17th international joint conference on Artificial intelligence - Volume 1
A survey of point-based techniques in computer graphics
Computers and Graphics
Feature aligned quad dominant remeshing using iterative local updates
Computer-Aided Design
Regularity criteria for the topology of algebraic curves and surfaces
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
ASM: An adaptive simplification method for 3D point-based models
Computer-Aided Design
Spectral sampling of manifolds
ACM SIGGRAPH Asia 2010 papers
Sketching Variational Hermite-RBF implicits
Proceedings of the Seventh Sketch-Based Interfaces and Modeling Symposium
On the velocity of an implicit surface
ACM Transactions on Graphics (TOG)
Technical Section: Real-time ray casting of algebraic B-spline surfaces
Computers and Graphics
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
Modelling and sampling ramified objects with substructure-based method
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part II
Dynamic particle system for mesh extraction on the GPU
Proceedings of the 5th Annual Workshop on General Purpose Processing with Graphics Processing Units
Journal of Computational Physics
Vertex location optimisation for improved remeshing
Graphical Models
Adaptive surface splatting for facial rendering
Computer Animation and Virtual Worlds
Explicit Mesh Surfaces for Particle Based Fluids
Computer Graphics Forum
Sketch based construction and rendering of implicit models
Computational Aesthetics'05 Proceedings of the First Eurographics conference on Computational Aesthetics in Graphics, Visualization and Imaging
Style nodes and repolygonization for hierarchical tree-based implicit surface modelling
Computational Aesthetics'09 Proceedings of the Fifth Eurographics conference on Computational Aesthetics in Graphics, Visualization and Imaging
EGSR'09 Proceedings of the Twentieth Eurographics conference on Rendering
EGWR'01 Proceedings of the 12th Eurographics conference on Rendering
Stratified point sampling of 3D models
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
Uncertainty and variability in point cloud surface data
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
Voronoi rasterization of sparse point sets
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
A unified lagrangian approach to solid-fluid animation
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
Parallel Surface Reconstruction for Particle-Based Fluids
Computer Graphics Forum
Particle-based anisotropic surface meshing
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
IGA-based point cloud fitting using B-spline surfaces for reverse engineering
Information Sciences: an International Journal
Technical Section: Point-based rendering of implicit surfaces in R4
Computers and Graphics
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We present a new particle-based approach to sampling and controlling implicit surfaces. A simple constraint locks a set of particles onto a surface while the particles and the surface move. We use the constraint to make surfaces follow particles, and to make particles follow surfaces. We implement control points for direct manipulation by specifying particle motions, then solving for surface motion that maintains the constraint. For sampling and rendering, we run the constraint in the order direction, creating floater particles that roam freely over the surface. Local repulsion is used to make floaters spread evenly across the surface. By varying the radius of repulsion adaptively, and fissioning or killing particles based on the local density, we can achieve good sampling distributions very rapidly, and maintain them even in the face of rapid and extreme deformations and changes in surface topology.