基于弹簧-质点模型的不规则曲面纹理映射  

Texture mapping for irregular surface based on spring-mass model

作　　者：李占利[1] 刘小靖[1] 孙瑜[1] 

机构地区：[1]西安科技大学计算机科学与技术学院,陕西西安710054

出　　处：《计算机工程与设计》2014年第10期3545-3548,3607,共5页Computer Engineering and Design

基　　金：国家自然科学基金-培育项目距-联合基金项目(煤炭联合基金)(U1261114);2012年度陕西省科学研究发展计划立项基金项目(2012JM8029);陕西省教育厅2012年科学研究项目计划基金项目(12JK0929)

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 .

关 键 词：纹理映射 三角网格 弹簧-质点模型 参数化 不规则曲面 纹理变形 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]