Self-intersection computation for freeform surfaces based on a regional representation scheme for miter points

[1]  André Galligo,et al.  Selfintersections of a bézier bicubic surface , 2005, ISSAC.

[2]  André Galligo,et al.  Intersection and self-intersection of surfaces by means of Bezoutian matrices , 2008, Comput. Aided Geom. Des..

[3]  P. Volino,et al.  Collision and Self-Collision Detection :Efficient and Robust Solutions for Highly Deformable Surfaces , 1995 .

[4]  Nicholas M. Patrikalakis,et al.  Surface-to-surface intersections , 1993, IEEE Computer Graphics and Applications.

[5]  Michael Yu Wang.  Intersection of offsets of parametric surfaces , 1996, Comput. Aided Geom. Des..

[6]  Nicholas M. Patrikalakis,et al.  Intersection Problems , 2002, Handbook of Computer Aided Geometric Design.

[7]  Gershon Elber,et al.  Trimming local and global self-intersections in offset curves/surfaces using distance maps , 2006, Comput. Aided Des..

[8]  Gershon Elber,et al.  Surface-Surface-Intersection Computation Using a Bounding Volume Hierarchy with Osculating Toroidal Patches in the Leaf Nodes , 2020, Comput. Aided Des..

[9]  T. Sederberg,et al.  Improved test for closed loops in surface intersections , 1989 .

[10]  Robert P. Markot,et al.  Surface algorithms using bounds on derivatives , 1986, Comput. Aided Geom. Des..

[11]  Ming C. Lin,et al.  Collision Detection between Geometric Models: A Survey , 1998 .

[12]  Gershon Elber,et al.  Surface self-intersection computation via algebraic decomposition , 2009, Comput. Aided Des..

[13]  Gershon Elber,et al.  Self-intersection detection and elimination in freeform curves and surfaces , 2008, Comput. Aided Des..

[14]  Lei Yang,et al.  A torus patch approximation approach for point projection on surfaces , 2009, Comput. Aided Geom. Des..

[15]  Dinesh Manocha,et al.  Collision and Proximity Queries , 2004, Handbook of Discrete and Computational Geometry, 2nd Ed..

[16]  Gershon Elber,et al.  Performing Efficient NURBS Modeling Operations on the GPU , 2009, IEEE Trans. Vis. Comput. Graph..

[17]  Gershon Elber,et al.  Trimming offset surface self-intersections around near-singular regions , 2019, Comput. Graph..

[18]  Elaine Cohen,et al.  Surface self-intersection , 2001 .

[19]  T. Uehara,et al.  Self-intersection of an offset surface , 1990, Comput. Aided Des..

[20]  Nicholas M. Patrikalakis,et al.  Computation of Self-Intersections of Offsets of Bézier Surface Patches , 1997 .

[21]  Thomas W. Sederberg,et al.  Loop detection in surface patch intersections , 1988, Comput. Aided Geom. Des..

[22]  P. Volino,et al.  Efficient self‐collision detection on smoothly discretized surface animations using geometrical shape regularity , 1994 .