C 2 Hermite interpolation by Pythagorean-hodograph quintic triarcs
| Type of publication: | Article |
| Citation: | |
| Publication status: | Submitted |
| Journal: | Computer Aided Geometric Design |
| Year: | 2014 |
| Abstract: | Abstract In this paper, the problem of C 2 Hermite interpolation by triarcs composed of Pythagorean- hodograph (PH) quintics is considered. The main idea is to join three arcs of PH quinti cs at two unknown points – the first curve interpolates given C 2 Hermite data at one side, the third one interpolates the same type of given data at the other side and the middle arc is joined together with C 2 continuity to the first and the third arc. For any set of C 2 planar boundary data (two points with associated first and second derivatives) we construct four possible interpolants. The best possible approximation order is 4. Analogously, for a set of C 2 spatial boundary data we find a six-dimensional family of interpolating quintic PH triarcs. The results are confirmed by several examples |
| Preprint project: | NCMM |
| Preprint year: | 2014 |
| Preprint number: | 09 |
| Preprint ID: | NCMM/2014/09 |
| Keywords: | Hermite interpolation, PH quintic, Pythagorean-hodograph curves, triarc |
| Authors | |
| Added by: | [JP] |
| Total mark: | 0 |
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