Rational Pythagorean-hodograph space curves
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Publication:631065
DOI10.1016/j.cagd.2011.01.002zbMath1210.65037OpenAlexW1979195295WikidataQ114202371 ScholiaQ114202371MaRDI QIDQ631065
Publication date: 22 March 2011
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cagd.2011.01.002
algorithmHermite interpolationPythagorean-hodograph curvesedge of regressionrational framesrational space curvestangent developable
Related Items (21)
\(G^1\) interpolation by rational cubic PH curves in \(\mathbb R^3\) ⋮ Hermite interpolation by piecewise polynomial surfaces with polynomial area element ⋮ \(C^1\) interpolation by rational biarcs with rational rotation minimizing directed frames ⋮ Algebraic and geometric characterizations of a class of algebraic-hyperbolic Pythagorean-hodograph curves ⋮ Mapping rational rotation-minimizing frames from polynomial curves on to rational curves ⋮ Geometric characteristics of planar quintic Pythagorean-hodograph curves ⋮ Interpolation with spatial rational Pythagorean-hodograph curves of class 4 ⋮ Unnamed Item ⋮ Partition of the space of planar quintic Pythagorean-hodograph curves ⋮ Optimal interpolation with spatial rational Pythagorean hodograph curves ⋮ On \(G^1\) and \(G^2\) Hermite interpolation by spatial algebraic-trigonometric Pythagorean hodograph curves with polynomial parametric speed ⋮ Partial fraction decomposition for rational Pythagorean hodograph curves ⋮ Parametric curves with Pythagorean binormal ⋮ An interpolation scheme for designing rational rotation-minimizing camera motions ⋮ Dual representation of spatial rational Pythagorean-hodograph curves ⋮ Unnamed Item ⋮ Geometric Hermite interpolation by a family of spatial algebraic-trigonometric PH curves ⋮ Rational rotation-minimizing frames -- recent advances and open problems ⋮ Identification of two classes of planar septic Pythagorean hodograph curves ⋮ Singular cases of planar and spatial \(C^1\) Hermite interpolation problems based on quintic Pythagorean-hodograph curves ⋮ Rational framing motions and spatial rational Pythagorean hodograph curves
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