NURBS在动画向量混合方法中的一个新应用

Application of NURBS Curves for Shape Blending of Computer Animation

本文提出了一种保持单调性的动画方法─顶点轨迹圆弧法 ,该方法是限定对应顶点沿特定圆弧运动的动画方法 ,在实现该方法的过程中 ,采用了目前最流行的NURBS方法 ,并对其在具体应用中进行了新的尝试。该方法较之最有影响的 2DShapeBlending工作 [1 ] [2 ]有一定优势 :运算量更小、保持单调性并且更便于向三维或高次推广。

In this thesis, a new approach to 2 dimension computer animation,that is vertex locus circular arc algorithm is presented.The comparison of this new method with the existing methods for computer animation shows that the vertex locus-circular arc algorithm has a few advantages: smaller amount of computati on;continuousby monotonous and easy to be expanded to 3D computer animation. To realize the algorithm,the current most extensively-used mathematical tool, NURBS (Non-uniform Rational B-Spline), is applied .