Geometry-CAGD December 28-30, 2003

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Geometry-CAGD December 28-30, 2003

• By
• Milind Sohoni
• Dept. of CSE
• IIT-Bombay
• sohoni_at_cse.iitb.ac.in
• www.cse.iitb.ac.in/sohoni/gsslcourse

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Schedule
AM AM PM PM PM
Day1 SM-Fable.ppt SolidWorks SM Practice/Tutorial Applications-I SM-Internals
Day2 Geometry/Topology Polynomials Curves Tutorial Applications-II
Day2 Surfaces Operations/Constructions Tutorial Wrap-up Applications-III
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Contents I
SM-Fable Motivate SM, examples SM and structure of SM
SM-Primer Practical introduction to an SM
SM-Internals Kernel/Husk dichotomy. Entities-face/edge/co-edge. Topology and applications
Geometry-Topology The two-tier representation. Parametric vs. Implicit. Sample parametrizations, trim curves
Polynomials Polynomials and the approximation problem, lagrange interpolation, and the bernstein base
Curves The construction of Bezier-Bernstein curves, control polygons, end calculations, elevation
Surfaces The 2d analogue of bernstein. Tensor-product surfaces, end conditions
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Contents II
Splines The piece-wise polynomial paradigm, knot insertion and evaluation
Operations TheNewton/Raphson Solver, the projection problem, intersections
Constructions The constructor, intersection curves, extrudes, blends
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Web-source