PARAMETERIZATION OF TRIANGULAR MESHES  

曲面三角网格模型参数化(英文)

作　　者：SHENHui-cun ZHOULai-shui ZHANGLi-yan 

机构地区：[1]CollegeofMechanicalandElectricalEngineering,NUAA29YudaoStreet.Naniing.210016,P.R.China

出　　处：《Transactions of Nanjing University of Aeronautics and Astronautics》2004年第2期106-110,共5页南京航空航天大学学报（英文版）

基　　金：国家自然科学基金 ( G60 2 73 0 97)资助项目;教育部高等学校优秀青年教师教学科研奖励计划;江苏省自然科学基金 ( BK2 0 0 1 40 8)资助项目~~

摘　　要：A new algorithm called the weighted least square discrete parameterization (WLSDP) is presented for the parameterization of triangular meshes over a convex planar region. This algorithm is the linear combination of the discrete Conformal mapping(DCM) and the discrete Authalic mapping(DAM). It provides the good properties of both DCM and DAM, such as robustness and low distortion. By adjusting the scaling factor q embedded in the WLSDP, satisfactory parameterizations in different special applications can be achieved.A new algorithm called the weighted least square discrete parameterization (WLSDP) is presented for the parameterization of triangular meshes over a convex planar region. This atgorithm is the linear combination of the discrete Conformal mapping (DCM) and the discrete Authalic mapping (DAM). It provides the good properties of both DCM and DAM, such as robustness and low distortion. By adjusting the scaling factor q embedded in the WLSDP, satisfactory parameterizations in different special applications can be achieved.

关 键 词：triangular meshes weighted least square discrete parameterization discrete Conformal mapping discrete Authalic mapping 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]