网格特征均衡化编辑

Mesh Editing Based on Feature Equalization

针对目前缺少从特征分布的角度来研究多边形网格编辑的问题,提出一种基于特征均衡化的网格编辑算法.首先对网格域上的坐标值作均衡化处理,使网格特征重新分布,再通过求解稀疏线性方程组得到新的网格模型,达到编辑网格和增强特征的目的;然后结合网格顶点和三角形重心约束在保持基本形状的基础上对网格特征进行编辑;最后通过显式地编辑网格模型的特征分布来隐式地改变模型的形状和特征.实验结果表明,该算法从网格模型内在特性出发寻找模型的内在控制机制,隐式地将整体形状控制与细节特征控制结合起来,为网格编辑和特征优化提供了新的思路.

The feature distribution editing has received few attention in previous work on mesh editing. In this paper, a novel algorithm for mesh editing based on feature equalization is proposed. First, the Laplacian coordinates are reformed via the histogram equalization; second, the mesh editing problem is formulated as a quadratic optimization problem, which is easily solved by solving a sparse linear system. Combined with the constraints on the mesh vertices and triangle barycenters, our method can preserve the basic shape while editing the mesh feature. Based on the Laplacian coordinates of mesh vertices, this paper attempts to find a built-in modeling control mechanisms. It provides a novel solution to mesh editing and feature optimization, which implicitly combines controlling the overall shape and preserving the local details. Experimental results show that our method is easy to implement and can be applied to several areas such as mesh editing and 3D shape modeling.