Shape preserving interpolation by curvature continuous parametric curves

DOI10.1016/0167-8396(88)90012-XzbMath0656.65005OpenAlexW1999450796MaRDI QIDQ1110232

Keith Unsworth, Tim N. T. Goodman

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0167-8396(88)90012-x

zbMATH Keywords

numerical examplessplineparametric curveslocal monotonicitylocal convexitycubic curve segmentsplanar curves interpolationsecond order geometric continuityShape-preserving interpolation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

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Uses Software

• pchip

Cites Work

• Conditions for avoiding loss of geometric continuity on spline curves
• High accuracy geometric Hermite interpolation
• C² Rational Quadratic Spline Interpolation to Monotonic Data
• Shape-Preserving Interpolation by Parametrically Defined Curves
• Monotone Piecewise Cubic Interpolation
• An Algorithm for Computing a Shape-Preserving Osculatory Quadratic Spline
• Piecewise Rational Quadratic Interpolation to Monotonic Data
• A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures