Course Schedule

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