SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Loop detection in surface patch intersections
Computer Aided Geometric Design
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
Robust and efficient surface intersection for solid modeling
Robust and efficient surface intersection for solid modeling
I-COLLIDE: an interactive and exact collision detection system for large-scale environments
I3D '95 Proceedings of the 1995 symposium on Interactive 3D graphics
Tangent, normal, and visibility cones on Be´zier surfaces
Computer Aided Geometric Design
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
OBBTree: a hierarchical structure for rapid interference detection
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
An efficient surface intersection algorithm based on lower-dimensional formulation
ACM Transactions on Graphics (TOG)
Large steps in cloth simulation
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Subdivision surfaces in character animation
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Exact evaluation of Catmull-Clark subdivision surfaces at arbitrary parameter values
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Fast collision detection using QuOSPO trees
I3D '99 Proceedings of the 1999 symposium on Interactive 3D graphics
Hierarchical face clustering on polygonal surfaces
I3D '01 Proceedings of the 2001 symposium on Interactive 3D graphics
Approximate Boolean operations on free-form solids
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Incremental Algorithms for Collision Detection Between Polygonal Models
IEEE Transactions on Visualization and Computer Graphics
Efficient And Accurate Interference Detection For Polynomial Deformation
CA '96 Proceedings of the Computer Animation
Trimming for subdivision surfaces
Computer Aided Geometric Design
Robust treatment of collisions, contact and friction for cloth animation
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Exploring surface characteristics with interactive Gaussian images: a case study
Proceedings of the conference on Visualization '02
Variational shape approximation
ACM SIGGRAPH 2004 Papers
Differentiable parameterization of Catmull-Clark subdivision surfaces
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Computational formula of depth for Catmull-Clark subdivision surfaces
Journal of Computational and Applied Mathematics - Special issue: The international symposium on computing and information (ISCI2004)
Conditions for use of a non-selfintersection conjecture
Computer Aided Geometric Design
Modeling with multiresolution subdivision surfaces
ACM SIGGRAPH 2006 Courses
Robust treatment of collisions, contact and friction for cloth animation
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
A consistent bending model for cloth simulation with corotational subdivision finite elements
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
Normals of subdivision surfaces and their control polyhedra
Computer Aided Geometric Design
Transfinite Interpolation for Well-Definition in Error Analysis in Solid Modelling
Reliable Implementation of Real Number Algorithms: Theory and Practice
Robustness of Boolean Operations on Subdivision-Surface Models
Numerical Validation in Current Hardware Architectures
Bounded normal trees for reduced deformations of triangulated surfaces
Proceedings of the 2009 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Conditions for use of a non-selfintersection conjecture
Computer Aided Geometric Design
The distance of a subdivision surface to its control polyhedron
Journal of Approximation Theory
Star-contours for efficient hierarchical self-collision detection
ACM SIGGRAPH 2010 papers
Subspace self-collision culling
ACM SIGGRAPH 2010 papers
Reduced deforming filter culling for fast continuous collision detection
Proceedings of the 17th ACM Symposium on Virtual Reality Software and Technology
Fast continuous collision detection using parallel filter in subspace
I3D '11 Symposium on Interactive 3D Graphics and Games
Fast intersections for subdivision surfaces
ICCSA'06 Proceedings of the 6th international conference on Computational Science and Its Applications - Volume Part I
A marching method for computing intersection curves of two subdivision solids
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
Energy-based self-collision culling for arbitrary mesh deformations
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Beyond Catmull–Clark? A Survey of Advances in Subdivision Surface Methods
Computer Graphics Forum
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Subdivision surfaces are an attractive representation when modeling arbitrary topology free-form surfaces and show great promise for applications in engineering design [5, 6] and computer animation [10]. Interference detection is a critical tool in many of these applications. In this paper we derive normal bounds for subdivision surfaces and use these to develop an efficient algorithm for (self-) interference detection.