B-Spline Interpolation and Approximation

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B-Spline Interpolation and ApproximationHongxin Zhang and JieqingFeng2006-12-18State Key Lab of CAD&CGZhejiang University12/18/2006State Key Lab of CAD&CG2Contents Parameter Selection and Knot Vector Generation Global Curve Interpolation Global Curve Approximation Global Surface Interpolation Global Surface Approximation Assignments12/18/2006State Key Lab of CAD&CG3Parameter 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 12/18/2006State Key Lab of CAD&CG4OverviewParameter Selection and Knot Vector Generation B-Spline Interpolation Input a set of data points D0.

• B-spline interpolation Input a set of data points D 0, ... For cubic B-spine curve The parameters The average knot vector. 12/18/2006 State Key Lab of CAD&CG 30 The Universal Method • In previously discussed methods the parameters →a knot vector • The Universal Method

  Cubic, Spline, Interpolation, Spline interpolation