计算机辅助设计最佳插值曲线的交互设计

CAD of Optimal Interpolation Curve by Interactive Techniques

提供一种人机交互算法，它将交互技术和插值方法相结合，用以生成最满意的光滑插值曲线．曲线由多段三次Ｂｅｚｉｅｒ曲线自动拼接而成，同时严格通过给定的一系列型值点；而且利用张力参数交互调整插值曲线的局部形状，直到设计者满意为止．本算法适应性较强，能够灵活地生成具有任意复杂形状曲线（包括二次曲线，以及含有直线段和尖点的各种曲线）．

This paper presents an interactive algorithm that combines interactive techniques with interpolation methods in an attempt to enable the designer to create the most pleasing interpolants. The algorithm,referred to as the multiple rational cubic Bczier curve (RCBC),is composed of several RCBC joined automatically. The multiple RCBC satisfies all of the user defined control points. Moreover,it applies tension parameters to control the local shape of the interpolant curves. The algorithm is capable of modelling flexibly almost all kinds of free form curves (including conic curves and curves with cusps,straight line segments).