查询词典 biholomorphic mapping

According to the structured element representation theorem of fuzzy number and fuzzy-valued function, we obtained one-to-one isometric mapping from the family of standard bounded monotone function with same monotonic formal on [-1, 1] to the fuzzy number space, and proved they are homeomorphic.

在模糊值函数的模糊结构元表述理论的基础上，利用[-1，1]上同序标准单调函数类上的距离诱导出模糊值函数空间上的距离，证明了模糊实数空间与[-1，1]上同序单调函数类同胚。

Owing to the monotonic mapping of fuzzy structured element established the homeomorphic property between fuzzy number space and the family of standard bounded monotone function, so, we can transform the study of any properties in fuzzy number space to the corresponding one in the family of standard bounded monotone function, e.g.

本项目针对矿井下采空区岩石陷落形成的多孔隙介质空间的极度不规则性，建立一种以模糊值函数分析学为基础的、更接近于刻划采空区内气体流动实际状况的模糊微分方程及各种边值问题，进而得出解算复杂采场气体模糊渗流问题的数学方法。

We present an efficient approach for generating the correspondence between two homeomorphic 3D polyhedral models. The user can select vertices on the polyhedra to decompose the boundary of each polyhedron into the same number of morphing patches. Further, the user can specify the feature points on the morphing patch pairs to improve the morph. After the morphing patch pairs are be mapped to 2D regular polygons, they are merged and reconstructed to generate a morph. In the main procedures of our approach, we propose an easy mapping method and a foldover-free warping technique. And we also propose a most efficient merging algorithm. The merging can be completed in O.

我们的对应演算法主要的流程架构是(1)设计一套良好的介面提供给使用者在物体表面上点选圈选点；(2)利用最短路径将圈选点作两两相连，以切割勿体表面；(3)利用Relaxation的方式进行摊平的目的；(4)利用Warping技术以增进使用者的便利性，因此无须圈选太多快patch以精确对齐物体的特徵，同时还提供一套自行避免相交情况的演算法以保证不相交；(5)我们研发出一套极快速的merge演算法，其利用最小轮廓涵盖结构而有效地达成区域搜寻与区域merge，因此在效率上达到O；(6)最后藉由Remesh与3D位置资讯的建立，重构出对应的结果整体而言，透过本论文所研发的对应演算法将不用花费太多的执行时间，因此符合经济效益。

In this paper,we have studied the modulus and quasiconformal mappings,obtained several conditions for that a homeomorphism is a quasiconformal mapping.

本文研究了模和拟共形映照，得到了一个同胚为拟共形映照的若干条件。

The lines in the P^3 will be mapped to the points in the P^5 by using the Klein mapping representation and the homogeneous Plücker coordinates, the dependency of screw system is determined, criterions of dependency are given, and the dependency on different geometrical conditions are listed.

利用Klein映射表示法，通过齐次Plücker坐标将P^3中的线映射为P^5中的点，来确定螺旋系的相关性，给出了相关性的判据，并列出了在空间不同几何条件下螺旋系相关性列表。

By using the homotopic mapping method, a class of simplified nonlinear model is studied, and the approximate solution is obtained.

利用同伦映射方法，研究了一类简化型非线性模型。

And based on a class of oscillator of ENSO models, employing the method of homotopic mapping, the approximate and exact of solution of corresponding problem is studied.

并在这基础上借助同伦映射方法研究了一类ENSO模型振子模型的近似解与精确解。

By using new inequality techniques, homotopic mapping and constructing a new type Lyapunov func tional method, we obtain some new criteria guaranteeing global asymptoticstability.

研究多时滞Cohen-Grossberg神经网络的全局渐近稳定性，利用新的不等式技术，同伦映射及李雅普诺夫泛函方法，我们获得了几个新的准则。

We generalize the concept of the set of variability defined in the unit diskby K.Strebel to general Riemann surfaces and prove that the set of variablity withrespect to the modulo homotopic class of a quasiconformal mapping between twoRiemann surfaces is a compact and connected subset.Consequently the num-ber of the extremal mappings in the modulo homotopic class of a quasiconformalmapping between two general Riemann surfaces is either one or infinity.

Strebel的定义在单位圆上的可变性集合的概念推广到一般Riemann曲面上去，并且证明了Riemann曲面之间的拟共形映射的模边同伦类所确定的可变性集合是一个连通的紧子集，从而得出一般Riemann曲面之间拟共形映射的模边同伦类中的极值映射要么唯一，要么有无穷多个。

In IBR (image-based rendering) application, we introduce homotopy mapping into view interpolation based on uncalibrated images, and present three forms of perspective homotopic transform according to different conditions.①The linear interpolation technique presented only preserves perspective geometry, but the intrinsic and extrinsic parameters of camera are changed. For the uncalibrated images, its application is restricted.②The view interpolation presented for rotational uncalibrated images can preserve both perspective geometry and the intrinsic parameters of camera, and the view position can be controlled. At meanwhile, the image registration method and panoramic images synthetic method is presented.

3在基于图象的绘制技术方面，将同伦变换引入视图插补中，针对未标定图象序列，并根据以下三种情况给出相应的透视同伦变换，①只保证符合透视关系，而摄象机内外参数均已改变的线性插补技术，对于标定图象序列，这种插补技术是非约束的，而对于未标定图象序列则只适合于某些特殊场景；②旋转图象序列的视图插补技术，同时给出了旋转图象序列的整合及全景图生成方法；③通过对非约束图象的预校正，完成平移情况下的视点插补。

Apllied the data of QuickBird-2——the highest resolution remote sensing,and based on the theory and methodology of fractal geometry,we have quantitatively studied remote sensing lineations in Gaolong gold deposit of Guangxi.

采用Quick Brid-2高分辨率卫星遥感数据，通过分形几何学的盒计维数法，定量研究广西高龙金矿区遥感线性构造。

So, sometimes, to change the color can not be your food (referring to the above-mentioned crustacean) has been a sign of boiling over.

所以，有时，来改变颜色，不能你的食物一直是沸腾了的迹象。