基于曲线和曲面控制的多边形物体变形反走样

基于参数曲线和曲面控制的空间变形是重要的几何外形编辑和柔性物体动画实现手段．当这两类变形方法的对象是多边形物体时，如何对变形物体进行重采样以得到高质量结果，是计算机动画和几何造型领域中的一个重要问题．该文针对B-样条曲线和曲面控制的空间变形方法，提出了面向多边形物体的空间变形反走样方法．在该方法中，利用等距技术将B-样条曲线或曲面所张成的变形空间近似表示为张量积B-样条参数体，结合作者提出的多边形物体精确B-样条自由变形方法，实现了参数曲线和曲面控制的多边形物体变形反走样．

Antialiasing of Polygonal Object Deformation Controlled by Curves and Surfaces

Space Deformations controlled by parametric curve or surface are important methods for geometric shape edit and flexible object animation. How to resample the deformed polygonal objects so as to achieve high quality results is still an open problem in geometric modeling and computer animation. In this paper a novel solution is proposed for B spline curve and surface cases. By using offset techniques, the deformation space spanned by B spline curve or surface is approximated as B spline volume. Combined with accurate B spline free form deformation methods proposed by authors, the polygonal objects can be deformed accurately, which is the antialiasing of polygonal object deformation.