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基于弹簧-质点模型的不规则曲面纹理映射

         

摘要

针对三角网格表示的不规则曲面的纹理映射问题,提出一种基于弹簧-质点模型的简单、高效、失真小的纹理映射算法。结合调和映射的参数化方法以及弹簧-质点模型的复杂平面展开方法,保持拓扑关系地将三维曲面投影于平面内;通过建立三角网格表示的投影面的弹簧-质点模型,将不规则曲面参数化于给定大小的矩形域;利用参数化的结果计算不规则曲面各顶点的纹理坐标,进行纹理贴图。实验结果表明,该算法能够实现纹理高效、均匀、变形小地映射于任意不规则曲面上。%For the texture mapping problem of the irregular surface expressed by triangular meshes ,an easy and efficient algo-rithm based on the spring-mass model was proposed .The parametric method of harmonic mapping and the method of the expan-sion of complex plane based on the spring-mass model .Firstly ,the three-dimensional surface was projected to the plane while maintaining the topological relations .Secondly ,by establishing the spring-mass model of the three-dimensional meshes on the projected plane ,the meshes were parameterized within the given rectangle .Lastly ,the texture coordinates of the nodes of me-shes were calculated ,and texture mapping was performed .The results of examples show the algorithm can achieve the texture mapping results evenly with small deformation .

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