调和映射可用于建立区域之间的映射关系。
Harmonic maps can construct the mapping relation between two regions.
在较弱条件下研究了凸闭曲面的调和映射问题。
In this paper, under some weak conditions, we have discussed the harmonic mappings of sur-faces.
提出了一种基于局部调和映射的三维网格蒙太奇融合新方法。
A new montage mesh fusion method is proposed based on local harmonic mapping in this paper.
由于在极小曲面理论中的作用，对调和映射的研究已有较长时间。
Harmonic mappings have long been studied because of the role these mappings play in the theory of minimal surfaces.
讨论一类映入球面的满足拟单调不等式的弱调和映射的边界正则性。
The boundary regularity for a class of weakly harmonic maps which maps into sphere and satisfies a quasi monotonicity inequality is discussed.
描述了平面到曲面调和映射的求解过程，并以球面印字为例，进行了数值试验。
The solution to harmonic mapping from plane to surface was presented, and the experiment of printing on sphere was discussed.
对于黎曼流形的浸没建立了垂直能量泛函的二阶变分公式，研究强垂直调和映射的稳定性。
The second variation formula of vertical energy functional for a submersion between Riemannian manifolds is calculated with a simple and direct manner.
由于调和映射具有保持映射能量最小的性质，该方法可以最小化约束纹理映射可能导致的扭曲形变。
The energy minimization characteristic of the harmonic map preserves the low distortion that may yield in the process of texture mapping.
针对海量流形三角网格数据，提出了基于网格简化技术与调和映射算法的四边形网格生成新方法——映射法。
A novel method of quadrilateral partition on cloudy manifold triangular meshes is presented, which is based on algorithms of mesh simplification and harmonic mapping.
此外，调和不是永远可能的(如果从映射没有可引用的值调和就是不可能的)。
Furthermore, it is also not always possible (if no value can be inferred from the mapping).
从这个关联中例化的映射在调和时将不被考虑。
The mappings instantiated from this relation will not be taken into account during reconciliation.
它共分六个部分：映射定理；单叶调和函数的数值估计；特殊映射；变分方法；境界性质和在极小曲面中的应用。
It contains six parts: mapping theorems, numerical estimations of univalent harmonic functions, special mappings, variational method, boundary behavior and applications to minimal surfaces.
本文的第四章研究的是单叶调和函数模的偏差估计，我们将拟共形映射理论与调和函数理论相互结合起来，用新定义的角伸缩商宋对单叶调和函数的模给出新的估计。
We research it by some new knowledge combining the quasiconformal theory with the harmonic theory. A new estimate of modulus is given which is relation to the angular dilatation.
本文的第四章研究的是单叶调和函数模的偏差估计，我们将拟共形映射理论与调和函数理论相互结合起来，用新定义的角伸缩商宋对单叶调和函数的模给出新的估计。
We research it by some new knowledge combining the quasiconformal theory with the harmonic theory. A new estimate of modulus is given which is relation to the angular dilatation.
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