基于凸包的最小体积有向包围盒生成算法

Algorithm for Finding Minimum Volume Oriented Bounding Boxes Based on Convex Hull

针对复杂物体三维点集的建模问题,提出一种基于凸包的最小体积的封闭有向包围盒生成算法.对凸包和其最小体积有向包围盒的关系进行分析,总结了其4种边面接触类型.通过枚举凸包中边的所有可能的组合,唯一确定包围盒的最优方向.实验证明,该算法可以快速生成符合模型体积特征的最小有向包围盒,且拟合效果良好.

A new method was presented for computing the tight-fitting enclosing minimum volume oriented bounding boxes for constructing the model of complex object point sets in three dimensions. The relationship between the convex hull and its minimum volume oriented bounding box with the smallest volume was analyzed,and four kinds of edge contact types were summarized. The optimal box orientations are uniquely determined by combinations of edges in the convex hull of the input point set. Empirical evidence shows that this process always yields the globally minimum bounding box by volume feature, which concludes that this method provides a good simulation.