2006Modern Electronics TechniqueRequires access

An Interactive Fairing Algorithm for B-spline Curve

Wu Fang

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Abstract

This paper presents an interactive algorithm about the fairness of a B-spline curve.The basic idea is to give each control point a small perturbation to construct a fair curve.The perturbations of each control point can be obtained minimizing the energy function.The weights of control points are applied to adjust the perturbation.The B-spline curve may be globally faired,but also can be adjusted locally in order to fair interactively.

About this research paper

What this paper is about

This paper presents an interactive algorithm about the fairness of a B-spline curve.The basic idea is to give each control point a small perturbation to construct a fair curve.The perturbations of each control point can be obtained minimizing the energy function.The weights of control points are applied to adjust the perturbation.The B-spline curve may be globally faired,but also can be adjusted locally in order to fair interactively.

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Available abstract

This paper presents an interactive algorithm about the fairness of a B-spline curve.The basic idea is to give each control point a small perturbation to construct a fair curve.The perturbations of each control point can be obtained minimizing the energy function.The weights of control points are applied to adjust the perturbation.The B-spline curve may be globally faired,but also can be adjusted locally in order to fair interactively.

Key concepts: Control point, B-spline, Perturbation (astronomy), Computer science, Algorithm, Curve fitting, Function (biology), Spline (mechanical)

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