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SUMMARY:Isotropic triangle meshing of NURBS model - Jingjing Shen (Univers
 ity of Cambridge)
DTSTART:20141120T111500Z
DTEND:20141120T121500Z
UID:TALK55617@talks.cam.ac.uk
CONTACT:Advait Sarkar
DESCRIPTION:NURBS is a mathematical model that has become a standard in th
 e modeling community for generating and representing curves and surfaces. 
 For some specific applications such as computational engineering or real-t
 ime rendering\, the NURBS surfaces must be converted into isotropic triang
 le surface meshes. Such conversion is still a scientific challenge and cur
 rent mesh generators suffer from a lack of control on the shape and size o
 f the mesh elements\, as well as of topological guarantees. \n\nThis proje
 ct devises a reliable algorithm for meshing NURBS surfaces\, using generic
  meshing framework of the CGAL library. The meshing is based on Delaunay t
 riangulations. It consists of sampling a point set on the NURBS surface to
  initialize the triangulation and then refining it until all mesh elements
  meet some user-specified criteria. The core idea of the refinement proces
 s is to insert new points that are the intersections between the NURBS sur
 face and line segments (the dual Voronoi edges of Delaunay triangles). We 
 present a reliable and efficient line/NURBS intersection oracle based on t
 he matrix representation of NURBS surfaces and methods in numerical linear
  algebra (matrix kernel\, singular value decomposition\, eigen-computation
 ).
LOCATION:Rainbow Seminar Room (SS03)\, Computer Laboratory
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