PPT ON B-SPLINE NOTES

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Bspline Notes  Presentation Transcript

1.Bspline Notes

2.Outline
Bézier Basis Polynomials
Linear
Quadratic
Cubic
Uniform Bspline Basis Polynomials
Linear
Quadratic
Cubic
Uniform Bsplines from Convolution

3.Review of Bézier Curves DeCastlejau Algorithm

4.Bézier Curves Summary

5.DeCastlejau algorithm
Evaluate Position(t) and Tangent(t)
Subdivides the curve into 2 subcurves with independent control polygons
Subdivision of Bézier curves and convex hull property allows for:
Adaptive rendering based on a flatness criterion
Adaptive collision detection using line segment tests

6.Linear Bézier Basis Poly’s

7.Uniform Linear Bspline Basis Poly’s