Hermite interpolation by hypocycloids and epicycloids with rational offsets

DOI10.1016/j.cagd.2010.02.001zbMath1211.65018OpenAlexW2025251957WikidataQ56341615 ScholiaQ56341615MaRDI QIDQ631036

Zbyněk Šír, Miroslav Lávička, Bohumír Bastl

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.2010.02.001

zbMATH Keywords

algorithmHermite interpolationsupport functionPythagorean hodograph curvesepicycloidshypocycloidsrational offsets

Mathematics Subject Classification ID

Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (11)

Support function at inflection points of planar curves ⋮ Identifying and approximating monotonous segments of algebraic curves using support function representation ⋮ \(G^{1}\) Hermite interpolation by PH cubics revisited ⋮ Hermite interpolation using Möbius transformations of planar Pythagorean-hodograph cubics ⋮ Rational Pythagorean-hodograph space curves ⋮ Constraint-based LN curves ⋮ Note on planar Pythagorean hodograph curves of Tschirnhaus type ⋮ Geometric constraints on quadratic Bézier curves using minimal length and energy ⋮ A unified Pythagorean hodograph approach to the medial axis transform and offset approximation ⋮ Circle approximation using LN Bézier curves of even degree and its application ⋮ Unnamed Item

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