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C 1 Hermite interpolation with spatial Pythagorean-hodograp h cubic biarcs
Type of publication: Article
Citation:
Publication status: Published
Journal: Journal of Computational and Applied Mathematics
Volume: 257
Year: 2014
Pages: 65-78
DOI: 10.1016/j.cam.2013.08.007
Abstract: In this paper the C1C1 Hermite interpolation problem by spatial Pythagorean-hodograph cubic biarcs is presented and a general algorithm to construct such interpolants is described. Each PH cubic segment interpolates C1C1 data at one point and they are then joined together with a C1C1 continuity at some unknown common point sharing some unknown tangent vector. Biarcs are expressed in a closed form with three shape parameters. Two of them are selected based on asymptotic approximation order, while the remaining one can be computed by minimizing the length of the biarc or by minimizing the elastic bending energy. The final interpolating spline curve is globally C1C1 continuous, it can be constructed locally and it exists for arbitrary Hermite data configurations.
Preprint project: NCMM
Preprint year: 2014
Preprint number: 06
Preprint ID: NCMM/2014/06
Keywords: Biarc, Cubic, Hermite, Interpolation, Pythagorean-hodograph, Spatial
Authors Bastl, Bohumír
Bizzarri, Michal
Krajnc, Marjeta
Lávička, Miroslav
Slabá, K.
Šír, Zbyněk
Vitrih, V.
Žagar, Emil
Added by: [JP]
Total mark: 0
Attachments
  • 06_14.pdf
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