不规则三维网格纹理映射的均匀化

Uniform Texture Mapping for Irregular 3D Meshes

采用单一纹理对不规则三维网格进行纹理映射,常常使网格密集处映射不足;而采用纹理地图集方法又使映射过程变得复杂。因此文章提出一种新的方法:通过离散保角变换方法,先将三维网格无遮挡地映射到平面正方形中,随后通过一种离散均匀面积变换方法,使其平面网格较均匀地分布,然后求得其纹理坐标,从而有效实现不规则三维网格的纹理映射。该方法算法快速、稳定,纹理映射均匀化效果良好。

If only a single texture is used in texture mapping for irregular 3D meshes,it often causes lack mapping in dense parts of the meshes.If texture charts are used,the mapping processes would be complicated.A new method is proposed in this paper： firstly mapping an irregular 3D mesh into a plane square without flips with discrete conformal mapping,then making the 2D mesh to be uniform with a discrete area uniform mapping method.Then texture coordinates can be obtained,and the texture mapping of irregular 3D mesh can be effectively realized.Such a method is fast and stable,The uniform effects of texture mapping is fairly good.