【摘要】 在计算机辅助几何设计和计算机图形学中,Bézier曲线是一种常用的参数曲线,如何方便地设计和修改Bézier曲线是一个重要研究课题.研究了基于几何约束的B閦ier曲线的优化的形状修改,提出一种基于修改曲线控制顶点的约束优化方法.该方法通过修改初始Bézier曲线的控制点来满足给定的约束,并理想地修改曲线的形状.同时给出了一些实例.更多还原

【Abstract】 Bézier curve is one kind of the most commonly used parametric curves in CAGD and Computer Graphics. Developing more convenient techniques for designing and modifying B閦ier curve is an important problem. This paper investigates the optimal shape modification of B閦ier curves by geometric constraints. A new method is presented in this paper by constrained optimization based on changing the control points of the curves. By this method, the authors modify control points of the original B閦ier curves to satisfy the given constraints and modify the shape of the curves optimally. Practical examples are also given.更多还原