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结合重心坐标的泊松网格编辑算法

Poisson Mesh Editing Algorithm Combining with Barycentric Coordinates
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摘要 综合考虑泊松网格编辑在保细节特征方面的优势和重心坐标插值的光滑性两方面,提出基于重心坐标的泊松网格编辑算法。首先确定待变形区域网格模型的包围网格,以包围网格所确定的重心坐标生成控制网格,然后任意操纵控制网格,将对应重心坐标变化的信息映射为网格模型的梯度场变化,最后通过求解泊松方程的系数矩阵进行网格重构,得到变形后模型。通过实验验证,该算法克服了传统泊松网格变形算法难以保持变形结果光顺自然的缺陷,并有效的保留了模型变形的细节特征。 Considering the advantages of Poisson mesh editing in preserving the geometric details and the smoothness of the barycentric coordinates in the parallel operation, a Poisson mesh editing algorithm based on the barycentric coordinates is proposed. Firstly, a bounding mesh of the deformable model is constructed, and then the deformation control surface is obtained with the barycentric coordinates which is determined by the bounding mesh. Secondly, when the control surface is modified according to the desired deformation result, the information of the corresponding barycentric coordinates is transformed into the alteration of the mesh gradient field. Finally, the deformed model is reconstructed by solving the mesh matrix of the Poisson equation. The algorithm overcomes the shortcomings of the traditional Poisson mesh deformation algorithm which is difficult to keep the deformation result smooth and effectively retains the details of the deformation of the model.
作者 武帅 黄庆学 李宏杰 王安红 WU Shuai;HUANG Qing-xue;LI Hong-jie;WANG An-hong(School of Electronic and Information Engineering,University of Science and Technology Taiyuan,Taiyuan 030024,China;University of Technology Taiyuan,Taiyuan 030024,China)
出处 《太原科技大学学报》 2019年第2期111-115,共5页 Journal of Taiyuan University of Science and Technology
基金 国家自然基金(F020502)
关键词 泊松网格编辑 包围网格 重心坐标 控制网格 Poisson mesh editing bounding mesh barycentric coordinates control surface
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