均匀面积映射及其在均匀纹理映射中的应用  

Uniform Area Mapping and Its Application in Uniform Texture Mapping

作　　者：郭凌[1] 李睿[1] 张经博[1,2] 刘凌[3] 

机构地区：[1]后勤工程学院后勤信息与军事物流工程系 [2]65133部队 [3]重庆工程职业技术学院图书馆

出　　处：《后勤工程学院学报》2014年第2期89-93,共5页Journal of Logistical Engineering University

摘　　要：为形成一个具有更小拉伸的网格参数化映射,在三角形网格面片面积均匀分布的情况下,采用分两步走的均匀面积映射法。通过均质化参数域里的三角形面积,用均匀或不均匀方式有效地降低了采样稀疏问题的影响,避免了传统方法中矩阵奇异值的计算。对三角形网格,先进行均值协调参数化,然后通过一个凸组合让参数域更加均匀,得到一个拉伸较低、面积更加均匀的三角形分布,从而可以更好地取样且适合于纹理映射。通过实验和对比,可以证明在均匀纹理映射方面,均匀面积映射法比保角映射法和等积投影映射法都有明显的提高。To get a more uniform area distribution of triangles in domain, which leads to a lower stretch, a two step method called uniform area mapping is proposed with the areas of faces equally distributed in a triangular mesh. It penalizes the undersam-pling effectively in a uniform or non,uniform way by homogenizing triangle area in the parameter domain. Thus calculating matrix singular value in the traditional methods can be avoided. Given a triangulation mesh, the authors start from mean value coordination parameterization and then make the domain more uniform through a convex combination where the weights are chosen according to the area and density of local triangles in domain. Then a more uniform area distribution of triangles in domain is get, which leads to a lower stretch. The result is well sampled and suitable for texture mapping. Experiments and comparisons are conducted so as to demonstrate that this method is obviously improved in uniform texture mapping compared with conformal or authalic mapping meth-ods and more effective than traditional stretch and minimizing methods.

关 键 词：数字几何处理 参数化 均匀面积 纹理映射 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]