基于卷积曲面的几何造型方法

卷积曲面是一种很有潜力的隐式曲面造型方法。由于卷积的可叠加性质，使得其生成的曲面很光滑，不会产生凸包和裂缝。卷积曲面造型是基于骨架的，其骨架可以是曲线或曲面，也可以以物体轮廓线为骨架原型来获取所需要的物体造型。在卷积造型的过程中，通过对骨架加权可以精细地控制结果曲面的形状。在介绍了卷积曲面造型的各类方法后，分析了其特点和发展方向。

Geometric modeling based on convolution surfaces

Convolution surface is an attractive technique in geometric modeling. Because of the property ofsuperposition, convolution surfaces have the advantage of being crease-free and bulge-free over other kinds of implicit surfaces. The skeletons of convolution surfaces can be curves, surfaces and sketched silhouettes. Furthermore, the shapes of the convolution surfaces are finely controlled by adjusting the weight distributions along the convolution skeletons. The methods of creating convolution surfaces are introduced here, and the characteristics and future developments are given at last.