一种新的自由曲面高斯图分解算法

将高斯图分解成单类型区域是进行自由曲面的形状分析与控制研究中把握自由曲面整体形状的关键算法之一。本文提出了一种新的自由曲面高斯图分解算法，该算法通过引入二阶导数改进了现存高斯图外边界计算算法，实现了对高斯全图的最小闭域分割。理论分析及实验结果均表明，该算法不但可行，而且具有更好的鲁棒性。

A New Gauss Map Decomposition Algorithm for Free-Form Surfaces

One of the key algorithms of the free-form surface shape analysis and control is the decomposition of the Gauss map into homogeneous areas.This paper presents a new free-form surface Gauss map decomposition algorithm,which imports the second order derivate to improve the existing Gauss map's exterior boundary computation method,and implements the minimal closed field cut of the complete Gauss map.The theoretical analysis and experimental results both identify its feasibility and better robustness.