CAJ | 학술논문

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。
침대삼각망격표시적불규칙곡면적문리영사문제，제출일충기우탄황-질점모형적간단、고효、실진소적문리영사산법。결합조화영사적삼수화방법이급탄황-질점모형적복잡평면전개방법，보지탁복관계지장삼유곡면투영우평면내；통과건립삼각망격표시적투영면적탄황-질점모형，장불규칙곡면삼수화우급정대소적구형역；이용삼수화적결과계산불규칙곡면각정점적문리좌표，진행문리첩도。실험결과표명，해산법능구실현문리고효、균균、변형소지영사우임의불규칙곡면상。
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 .