保持细节的网格曲面局部变形算法

摘要

For the problem that the direct manipulation of free-form deformation algorithm is poor in detail preservation when conducting local deformation on large-scale mesh model,we bring forward a full automated mesh model local deformation algorithm which relies on the theoretical basis of discrete Poisson equation and differential operator on mesh surface.The basic idea of this algorithm is to obtain the deformation area through automatic estimation of the algorithm according to the moving the user does on control vertex of the model and the surface geometry feature of mesh at first,then to map user’s editing modification on control vertex onto gradient field modification for the deformation area.Finally,a mesh with deformation is derived through the reconstruction using Poisson equation.The advantage of this algorithm is to omit the process of manually designating the deformation area on the basis that the local geometric detail of the mesh model surface is kept preserved.%针对直接控制自由变形算法（DFFD）在对大规模网格模型实施局部变形时细节保持性差的问题，以网格曲面上的离散泊松方程和微分算子为理论基础，提出一种完全自动化的网格模型局部变形算法。基本思想是依据用户对模型上控制顶点的移动及网格的表面几何特征，由算法自动判断得到变形区域，继而将用户对控制顶点的编辑操作映射为对变形区域梯度场地操作，最后通过泊松重建得到变形后的网格。优点是在使模型表面的局部几何细节得到保持的基础上省略了人为划定变形区域的步骤。