Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
441371 | Computer Aided Geometric Design | 2007 | 22 Pages |
Abstract
We introduce Lp (1⩽p⩽∞) piecewise polynomial parametric splines of degree 3 or 5 which smoothly interpolate data points. The coefficients of these polynomial splines are calculated by minimizing the Lp norm of the second derivative. It is demonstrated that the C1-continuous cubic (resp. G1-continuous cubic and C2-continuous quintic) Lp polynomial splines are unique for 1
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