Collision Detection for Moving Polyhedra
IEEE Transactions on Pattern Analysis and Machine Intelligence
Analytical methods for dynamic simulation of non-penetrating rigid bodies
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
A modeling system based on dynamic constraints
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Collision Detection and Response for Computer Animation
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Robot Dynamics Algorithm
Computer Methods for Mathematical Computations
Computer Methods for Mathematical Computations
Second Order Kinematic Constraint Between Two Bodies Rolling, Twisting and Slipping Against Each Other While Maintaining Point Contact
Coping with friction for non-penetrating rigid body simulation
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Generalized implicit functions for computer graphics
Proceedings of the 18th 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
Interactive manipulation and display of surfaces in four dimensions
I3D '92 Proceedings of the 1992 symposium on Interactive 3D graphics
Interval methods for multi-point collisions between time-dependent curved surfaces
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Fast contact force computation for nonpenetrating rigid bodies
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Using particles to sample and control implicit surfaces
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Impulse-based simulation of rigid bodies
I3D '95 Proceedings of the 1995 symposium on Interactive 3D graphics
I-COLLIDE: an interactive and exact collision detection system for large-scale environments
I3D '95 Proceedings of the 1995 symposium on Interactive 3D graphics
Incremental algorithms for collision detection between solid models
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
Versatile and efficient techniques for simulating cloth and other deformable objects
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
An interactive tool for placing curved surfaces without interpenetration
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Approximating polyhedra with spheres for time-critical collision detection
ACM Transactions on Graphics (TOG)
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
OBBTree: a hierarchical structure for rapid interference detection
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Direct haptic rendering of sculptured models
Proceedings of the 1997 symposium on Interactive 3D graphics
Fast collision detection among multiple moving spheres
SCG '97 Proceedings of the thirteenth annual symposium on Computational geometry
Visibility sorting and compositing without splitting for image layer decompositions
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
V-Clip: fast and robust polyhedral collision detection
ACM Transactions on Graphics (TOG)
Physically based motion transformation
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Six degree-of-freedom haptic rendering using voxel sampling
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Timewarp rigid body simulation
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Six degree-of-freedom haptic display of polygonal models
Proceedings of the conference on Visualization '00
Robust treatment of collisions, contact and friction for cloth animation
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Continuous contact simulation for smooth surfaces
ACM Transactions on Graphics (TOG)
Obstacle Collision Detection Using Best Ellipsoid Fit
Journal of Intelligent and Robotic Systems
Efficient Collision Detection Using Bounding Volume Hierarchies of k-DOPs
IEEE Transactions on Visualization and Computer Graphics
Fast Collision Detection Among Multiple Moving Spheres
IEEE Transactions on Visualization and Computer Graphics
'Meshsweeper': Dynamic Point-to-Polygonal-Mesh Distance and Applications
IEEE Transactions on Visualization and Computer Graphics
Complex Models for Animating Synthetic Actors
IEEE Computer Graphics and Applications
Interactive Simulation of Solid Rigid Bodies
IEEE Computer Graphics and Applications
3D virtual clothing: from garment design to web3d visualization and simulation
Web3D '03 Proceedings of the eighth international conference on 3D Web technology
Fast and Accurate Collision Detection for Virtual Environments
Dagstuhl '97, Scientific Visualization
Efficient And Accurate Interference Detection For Polynomial Deformation
CA '96 Proceedings of the Computer Animation
Optimization-Based Virtual Surface Contact Manipulation at Force Control Rates
VR '00 Proceedings of the IEEE Virtual Reality 2000 Conference
VRAIS '95 Proceedings of the Virtual Reality Annual International Symposium (VRAIS'95)
The sensitivity of presence to collision response
VRAIS '97 Proceedings of the 1997 Virtual Reality Annual International Symposium (VRAIS '97)
Nonconvex rigid bodies with stacking
ACM SIGGRAPH 2003 Papers
Local Model of Interaction for Haptic Manipulation of Rigid Virtual Worlds
International Journal of Robotics Research
Distance extrema for spline models using tangent cones
GI '05 Proceedings of Graphics Interface 2005
Six Degree-of-Freedom Haptic Rendering Using Spatialized Normal Cone Search
IEEE Transactions on Visualization and Computer Graphics
Efficient collision detection for moving ellipsoids using separating planes
Computing - Geometric modelling dagstuhl 2002
Improved Collision Detection Algorithm for Soft Tissue Deformable Models
ENC '05 Proceedings of the Sixth Mexican International Conference on Computer Science
A higher dimensional formulation for robust and interactive distance queries
Proceedings of the 2006 ACM symposium on Solid and physical modeling
A framework for bounded-time collision detection in haptic interactions
Proceedings of the ACM symposium on Virtual reality software and technology
Robust treatment of collisions, contact and friction for cloth animation
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
A framework for fast and accurate collision detection for haptic interaction
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Six degree-of-freedom haptic rendering using voxel sampling
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Haptic rendering of surface-to-surface sculpted model interaction
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Using particles to sample and control implicit surfaces
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
A Real-Time Algorithm for Accurate Collision Detection for Deformable Polyhedral Objects
Presence: Teleoperators and Virtual Environments
Energy stability and fracture for frame rate rigid body simulations
Proceedings of the 2009 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Critical point analysis using domain lifting for fast geometry queries
Computer-Aided Design
Toward high-quality modal contact sound
ACM SIGGRAPH 2011 papers
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A formulation for the contact forces between curved surfaces in resting (non-colliding) contact is presented. In contrast to previous formulations, constraints on the allowable tangential movement between contacting surfaces are not required. Surfaces are restricted to be twice-differentiable surfaces without boundary. Only finitely many contact points between surfaces are allowed; however, the surfaces need not be convex. The formulation yields the contact forces between curved surfaces and polyhedra as well. Algorithms for performing collision detection during simulation on bodies composed of both polyhedra and strictly convex curved surfaces are also presented. The collision detection algorithms exploit the geometric coherence between successive time steps of the simulation to achieve efficient running times.