Ibiblioorge notessplinesbasishtml today more about

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Unformatted text preview: the most obvious way to control B-spline curves • Changing the position of control point Pi only affects the local region http://www.ibiblio.org/e-notes/Splines/basis.html Today – More about Bezier and Bsplines ■ de Casteljau’s algorithm ■ BSpline : General form ■ de Boor’s algorithm ■ Knot insertion – NURBS – Subdivision Surface De Boor’s Algorithm • Example • Assume we have a cubic B-spline whose knot vector is {0, 0, 0, 0, 0.25, 0.5, 0.75, 1, 1, 1, 1} • Let’s compute a point at t = 0.4 • Then, t4 < t < t5, and the control points that affect the final position are P4, P3, P2, P1 Example • Assume we have a cubic B-spline whose knot vector is {0, 0, 0, 0, 0.25, 0.5, 0.75, 1, 1, 1, 1} • Let’s compute a point at t = 0.4 • Then, t4 < t < t5, and the control points that affect the final position are P4, P3, P2, P1 Example • Assume we have a cubic B-spline whose knot vector is {0, 0, 0, 0, 0.25, 0.5, 0.75, 1, 1, 1, 1} • Let’s compute a point at t = 0.4 • Then, t4 < t &...
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This document was uploaded on 03/26/2014.

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