Construction of \(G^2\) planar Hermite interpolants with prescribed arc lengths
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Publication:2141166
DOI10.1016/j.amc.2022.127092OpenAlexW4225918215MaRDI QIDQ2141166
Marjeta Krajnc, Maria Lucia Sampoli, Francesca Pelosi
Publication date: 23 May 2022
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.11371
Pythagorean-hodograph curvesgeometric Hermite interpolationspline constructionbiarc curvesarc-length constraint
Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Approximations and expansions (41Axx) Computing methodologies and applications (68Uxx)
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Interpolation of planar \(G^1\) data by Pythagorean-hodograph cubic biarcs with prescribed arc lengths ⋮ \(G^1\) interpolation of \(v\)-asymmetric data with arc-length constraints by Pythagorean-hodograph cubic splines ⋮ Optimal interpolation with spatial rational Pythagorean hodograph curves ⋮ Arc length preserving \(G^2\) Hermite interpolation of circular arcs ⋮ Construction of \(G^2\) spatial interpolants with prescribed arc lengths
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