网格图形编辑的样条方法

Spline-Based Mesh Editing

提出基于样条的网格图形编辑方法,首先在网格表面附近构建近似的样条曲面,同时预计算网格顶点在样条上的对应点处局部标架下的坐标表示,并作为不变量在变形中进行保持;然后编辑样条的位置和形状,利用局部标架和细节坐标重建变形后的网格,同时进行网格光滑和网格细分,改善变形效果,以实现复杂模型简单快捷的编辑/变形.方法在保细节的同时允许对网格在多个尺度下编辑.实验结果表明,融合了样条的三角网格方法较传统的样条编辑方法可避免产生过多的控制点,大大地简化了操作.

By the combination of spline and meshes together, this paper studies the spline-based editing on triangular meshes. First, a spline surface is expanded near the mesh surface, and the local coordinates of each mesh vertex are computed in the Frenet frame of its peer spline sample. After the deformation of spline surface, Frenet frame at spline samples is computed, then the deformed location of mesh vertices are reconstructed using local coordinates. In comparison with traditional spline modeling methods, mesh based spline editing tools can preserve details and possess fewer control points; it makes the modeling much easier.