Dynamic Evaluation of Exponential Polynomial Curves and Surfaces via Basis Transformation

DOI10.1137/18M1230359WikidataQ115525581 ScholiaQ115525581MaRDI QIDQ5241273

Jialin Hong, Xunnian Yang

Publication date: 30 October 2019

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.10205

zbMATH Keywords

curves and surfacesexponential polynomialbasis transformationlinear differential operatordynamic evaluation

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical differentiation (65D25) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (2)

Construction and Evaluation of Pythagorean Hodograph Curves in Exponential-Polynomial Spaces ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Mixed hyperbolic/trigonometric spaces for design
• Algebraic-trigonometric Pythagorean-hodograph curves and their use for Hermite interpolation
• Periodic Bézier curves
• Control point based exact description of a class of closed curves and surfaces
• Chebyshev spaces and Bernstein bases
• Efficient computation of Bézier curves from their Bernstein-Fourier representation
• Bernstein operators for exponential polynomials
• Harmonic rational Bézier curves, \(p\)-Bézier curves and trigonometric polynomials
• C-curves: An extension of cubic curves
• Control point based exact description of curves and surfaces, in extended Chebyshev spaces
• Helix splines as an example of affine Tchebycheffian splines
• A class of Bézier-like curves
• Algebraic-trigonometric Pythagorean-hodograph space curves
• Running Relative Error for the Evaluation of Polynomials
• An Integrated Introduction to Computer Graphics and Geometric Modeling
• A class of quasi Bézier curves based on hyperbolic polynomials
• A Corner Cutting Algorithm for Evaluating Rational Bézier Surfaces and the Optimal Stability of the Basis
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
• Dynamic Evaluation of Free-Form Curves and Surfaces
• Shape preserving alternatives to the rational Bézier model

This page was built for publication: Dynamic Evaluation of Exponential Polynomial Curves and Surfaces via Basis Transformation