Course Schedule Time AM PM Day 1 SM-Fable.ppt SM-Primer.ppt

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Presentation transcript:

Course Schedule Time AM PM Day 1 SM-Fable.ppt SM-Primer.ppt SM-Practical Tutorial 3d Day 2 SMInternals.ppt Geometric-Topology Polynomials.pdf polynomials Day 3 Curves.pdf Spline.pdf Application I Curves and Surfaces Day 4 Surface.pdf Operation.pdf Application II Opns/Cons. Day 5 Construction.pdf Wrap-Up ApplicationIII TEST

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

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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