Approximation of logarithmic spirals

DOI10.1016/S0167-8396(96)00043-XzbMath0896.65016OpenAlexW2043812663MaRDI QIDQ1391355

Christoph Baumgarten, Gerald Farin

Publication date: 22 July 1998

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-8396(96)00043-x

zbMATH Keywords

numerical examplesapproximationshape optimizationlogarithmic spiralsrational cubic spline curves

Mathematics Subject Classification ID

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

Related Items (10)

Geometric Hermite interpolation by logarithmic arc splines ⋮ Smooth polynomial approximation of spiral arcs ⋮ Interpolation with cubic spirals ⋮ Visualization and analysis of regions of monotonic curvature for interpolating segments of extended sectrices of Maclaurin ⋮ Quintic polynomial approximation of log-aesthetic curves by curvature deviation ⋮ \(G^3\) quintic polynomial approximation for generalised Cornu spiral segments ⋮ Fast exact digital differential analyzer for circle generation ⋮ Curvature extrema of planar parametric polynomial cubic curves ⋮ Efficient robust approximation of the generalised Cornu spiral ⋮ Unnamed Item

Cites Work

• A generalisation of the Pythagorean hodograph quintic spiral
• A survey of curve and surface methods in CAGD
• A guided clothoid spline
• Hermite interpolation with a pair of spirals
• Clothoid Spline Transition Spirals
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