本文利用调和映射建立参数化的平面网格和纹理平面之间的对应关系，它一般的

本文利用调和映射建立参数化的平面网格和纹理平面之间的对应关系，它一般的定义如下。
假设： 是两个Riemannian流形间的光滑映射，其能量定义为：

結果 (英文) 1:

Using harmonic mapping parameterization of the establishment of correspondence between the Planar mesh and texture surfaces, which are defined as follows.Assume that is a smooth map between two Riemannian manifolds, its energy is defined as:

結果 (英文) 2:

In this paper, harmonic maps to establish a correspondence between the parameters of the plane mesh and texture plane, it is generally defined as follows.
Assumption: a smooth map between two Riemannian manifolds, its energy is defined as:

結果 (英文) 3:

In this paper, by using the harmonic mapping to establish relationship between parameters of the planar mesh and texture plane, it is generally defined as follows.
hypothesis: is a smooth mapping between two Riemannian manifold, defined as the energy: