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Shape-preserving interpolation by G 1 and G 2 PH quintic splines
| Content Provider | Semantic Scholar |
|---|---|
| Author | Farouki, Rida T. Manni, Carla |
| Copyright Year | 2001 |
| Abstract | The interpolation of a planar sequence of points p0, . . . , pN by shape-preserving G 1 or G2 PH quintic splines with specified end conditions is considered. The shape-preservation property is secured by adjusting ‘tension’ parameters that arise upon relaxing parametric continuity to geometric continuity. In the G2 case, the PH spline construction is based on applying Newton–Raphson iterations to a global system of equations, commencing with a suitable initialization strategy—this generalizes the construction described previously in Numerical Algorithms 27, 35–60 (2001). As a simpler and cheaper alternative, a shape-preserving G1 PH quintic spline scheme is also introduced. Although the order of continuity is lower, this has the advantage of allowing construction through purely local equations. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://imajna.oxfordjournals.org/cgi/reprint/23/2/175.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Algorithm Biologic Preservation Interpolation Imputation Technique Iteration Newton's method Numerical linear algebra Quintic function Scott continuity Spline (mathematics) |
| Content Type | Text |
| Resource Type | Article |
