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B-Spline Interpolation and Approximation

B-Spline Interpolation and ApproximationHongxin Zhang and JieqingFeng2006-12-18 State Key Lab of CAD&CGZhejiang University12/18/2006 State Key Lab of CAD&CG2 Contents Parameter Selection and Knot Vector Generation Global Curve Interpolation Global Curve Approximation Global Surface Interpolation Global Surface Approximation Assignments12/18/2006 State Key Lab of CAD&CG3 Parameter Selection and Knot Vector Generation Overview The Uniformly Spaced Method The Chord Length Method The centripetal Method Knot Vector Generation The Universal Method Parameters and Knot Vectors for Surfaces 12/18/2006 State Key Lab of CAD&CG4 OverviewParameter Selection and Knot Vector Generation B-Spline Interpolation Input a set of data points D0.

centripetal force) should not be too large. The normal force along the path should be proportional to the change in angle. The centripetal method is an approximation to this model The centripetal method is an extension to the chord length method

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