An Interactive Fairing Algorithm for B-spline Curve
Wu Fang
Abstract
Wu Fang
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.
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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)