映射

We proposed a montage mesh fusion method based on local Harmonic mapping.

我们提出了一个基于局部调和映射的三维网格蒙太奇融合新方法。

For the shortcomings of geometry based initial solution methods for inverse analysis method in sheet stamping, a 3D mesh harmonic mapping algorithm based on energy theory is implemented.

针对目前在板料成形反向模拟法中常用到的初始域计算方法的缺点，提出采用一种基于弹簧系统能量理论的空间网格映射法。

Compared with the global harmonic mapping method, this approach has the following advantages.(1) The efficiency of the algorithm is greatly improved. The computational cost involved no longer increases exponentially with the number of vertices of the meshes to be fused.(2) The algorithm is robust as the ambiguity in graph structure combination is alleviated.(3) The detail of the cut mesh is fully kept.(4) The topology restriction of the original algorithm is eliminated.

与原有的基于全局调和映射的融合方法相比，新方法的算法效率大幅度提升，求解时间不再随融合模型顶点数的增加而呈指数增长；减少了二维网格拓扑合并中奇异情况出现的概率，提高了算法的稳定性；被剪切网格的细节得到完整保留；消除了原算法对融合区域拓扑的限制。

In this chapter, we obtain the following conclusion: Let f=h+〓 be a univalent orientation-preserving harmonic mapping defined on the unit disk U such that f is convex in a direction and real on the real axis, and satisfies the normalization f (0)=0 and 〓, then f is typically real.

在这一章中，我们证明了如下事实：对于单位圆U上的单叶调和映照f=h+〓，如果它满足条件〓，且在其映照下单位圆的像域是一个方向凸的，则它必定是典型实照映射。

Umisheet2002 case study verifies the validity of this harmonic mapping algorithm. The comparison between the results obtained with inverse analysis method and incremental based software eta/DYNAFORM witnesses the efficiency and reliability of inverse analysis method using the proposed energy based initial solution algorithm.

UMISHEET' 2002一标准考题中，通过与增量模拟软件eta/DYNAFORM的比较，证明了采用基于弹簧系统能量理论的调和映射思想来求解反向模拟法初始域具有较好的适用性，同时验证了反向模拟法较为可靠的计算结果及较高的计算效率。

The approach first extracts mesh regions to be fused by approximating offset curves on meshes, then parameterizes the regions using harmonic mapping with holes, and the smooth mesh fusion is finally obtained by topology combination and fusion control.

首先利用网格上的近似等距线算法来抽取出待融合区域，然后对两个待融合区域进行带内孔的调和映射参数化，最后通过拓扑合并和融合控制来实现网格的光滑融合。

To solve the ill-posed problem of the super-resolution image regularization reconstruction, an energy function based on p harmonic mapping regularization and super-resolution image observed model was drawn.

针对超分辨率图像重建过程中的正则化约束问题，本文提出采用p调和映射进行正则化重建，根据超分辨率图像观察模型及正则约束，给出相应的能量泛函，并采用动态偏微分方程演化来求解能量泛函。

In general, it is impossible that every key map to a different hash value, for the space of keys can be greater than the number of permissible hash codes: what makes for a good hasher is that the probability of a collision (two different keys with the same hash value) is as close to zero as possible.

通常，它不可能将每一个键值映射到一个不同的散列值，键值的空间可以大於所允许的散列值的数量：一个好的散列器，要求其发生冲突(两个不同的键值对应同一个散列值)的可能性尽量接近於零。

Based on the coupled discrete tent spatiotemporal chaotic maps, a cryptographic Hashing function is constructed to generate 128-bit Hash value from a message with arbitrary length.

与帐篷映射相比，该方案所采用的离散耦合帐篷时空混沌模型避免了有限精度实现产生的短周期行为，产生的时间序列近似服从均匀分布，具有更为理想的扩散与混乱特性。

Experimental results show that this method can improve the precision of heterogeneous ontology mapping effectively.

实验表明，该方法有效地提高了异构本体映射的精度。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。