Geometric Hermite interpolation by rational curves of constant width
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https://doi.org/10.1016/j.cam.2023.115598 |
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Title
Geometric Hermite interpolation by rational curves of constant widthDate
2023-09-28Publisher
ElsevierBibliographic citation
ARNAL, A., et al. Geometric Hermite interpolation by rational curves of constant width. Journal of Computational and Applied Mathematics, 2024, vol. 439, p. 115598.Type
info:eu-repo/semantics/articleVersion
info:eu-repo/semantics/publishedVersionSubject
Abstract
A constructive characterization of the support function for a rationally parameterized curve of constant width is given. In addition, a Hermite interpolation problem for such kind of curves is solved, which yields a ... [+]
A constructive characterization of the support function for a rationally parameterized curve of constant width is given. In addition, a Hermite interpolation problem for such kind of curves is solved, which yields a method to determine a rational curve of constant width that passes through a set of free points with the corresponding tangent directions. Finally, the case of piecewise rational support functions is considered, which increases the design freedom. The procedure is presented in the general case of hedgehogs of constant width taking the advantage of projective hedgehogs, so that some constraints must be taken to ensure convexity of the desired curve. [-]
Funder Name
MCIN/AEI/10.13039/501100011033 | ERDF A way of making Europe | Ministerio de Ciencia, Innovación y Universidades (Spain) | Generalitat Valenciana | Basque Government | Spanish State Research Agency through BCAM Severo Ochoa accreditation of excellence
Project code
PID2021-124577NBI00 | PID2019-104927GB-C21 | CIAICO/2021/180 | BERC 2022–2025 program | CEX2021-001142-S/MCIN/AEI/10.13039/501100011033
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- MAT_Articles [766]