【摘要】 提出两种方法直接在点集模型上计算曲面的局部微分性质,包括平均曲率、高斯曲率、主曲率和主方向.第一种方法利用voronoi元和有限元,将曲率公式离散,再进行计算;第二种方法利用移动最小二乘法(ML S) ,构造局部参数曲面来逼近原始曲面,以局部参数曲面的曲率来近似点集模型的曲率.试验表明这两种方法可以在较小的误差范围内表示曲面的曲率.最后对这两种方法进行了比较,给出了各自的适用场合.更多还原

【Abstract】 Presented two methods to approximate several differential properties, including mean curvature, guass curvature, main curvatures and main directions on point-sampled surfaces. The first method transports voronoi cell and mixed finite-element/finite-volume on triangle mesh to point set. The second one uses moving least square(MLS) projection and fits a series of polynomial patch to the point set surface. Compareing our methods to the analytical results on parametric surfaces. Experiments show that the estimates are satisfying in accuracy.更多还原