查询词典 geometry

Through studying some fundamental properties of the curved surface in differential geometry , a method of linear feature extraction based on differential geometry is introduced.

通过研究微分几何理论中曲面的一些基本性质，本文介绍了一种基于微分几何的线状地物提取方法，首先在局部区域内拟合一个二次曲面函数，然后通过该函数来估算灰度曲面的梯度和曲率，设定合适的梯度和曲率阈值来检测线状地物，最后进行后处理，消除许多噪声颗粒及小块区域。

In this paper, after introduction of the basic concepts, the main results on Geometry of Matrices and the developmental survey on Linear Preserver Problems, we characterize some important additive preserver maps by using the fundamental theorem of Geometry of Matrices.

本文在介绍了矩阵几何的基本概念、主要成果及线性保持问题的发展概况之后，应用矩阵几何刻划了几类重要的加法保持问题。

Remarkable is that this more than a century ago almost directly with the achievement of modern mathematics, the following methods, the general flow is concepts, algebra to geometry closely linked, he and his successors -- Beiertelami, Christopher Tuofeier, Lee Puxici developed differential Zhang volume analysis has gradually become more research on the flow geometry and analysis of an important tool.

令人赞叹的是，这一个多世纪前的成就几乎直接同现代数学中的拓扑方法、一般流形概念、代数几何学等紧密相连，他和他的接班人——贝尔特拉米、克里斯托费尔、李普希茨所发展的微分张量分析逐渐成为研究流形上几何结构和分析的一个重要工具。

It is embodied in the three research programs of modern physics:(1) According to the program of geometrization of physics, the essence of the Curved Space in gravitational field needs to be explicated by Riemannian geometry, differential geometry, tensor analysis;(2)According to the program of quantum field theory, the generation and annihilation operator can represen...

它分别体现在现代物理学的三大研究纲领中：(1)根据物理学的几何化纲领，引力场弯曲空间的奥秘需要通过黎曼几何、微分几何与张量分析来解读；(2)根据量子场论纲领，场理论的"产生和湮灭"算符，能方便而精确地表征和重构相关的微观作用机制；"场的本体论"和"生成辩证法"同时得到体现。

The essay is about the teaching research into the relations between the definition geometrize nature and circular cone , in which the teaching research of definition mainly uncovers the nature of circular cone;geometry nature about how to lead the students to understand the geometry nature of circular cone with equations in the thought of figures and shape.

其中定义的教学探究主要是揭示圆锥曲线的本质特征，几何性质的教学探究主要引导学生从方程的角度，用数形结合的思想去理解圆锥曲线的几何性质。

Conventional graphic solution was often manually used to solve the problem of the spatial geometry in Descriptive Geometry and thus the result is inaccurate.

传统图解法通常采用手工绘图解决空间几何问题，作图结果不精确。

For a geometry and its group, an element of the group is sometimes called a ''' motion ''' of the geometry.

对于一个几何和它的群，群的一个元素有时叫做该几何的一个'''运动'''。

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。

Establish geometry model of hyperboloid clutch with rollers with differential geometry. We know that the line of tangent is beeline and validate it with Matlab.

利用微分几何相关知识建立了内外环的双曲面等距曲面及滚柱的几何模型，求解出其接触线为直线并用MATLAB进行了理论验证。

In fact, the construction of the geometry structure would be ill-use of a series of qualified formula in tensor analysis and where there is perplexity about coordinate system, reference system and geometry space.

事实上，相关几何结构的构建不仅混淆了坐标系、参照系、几何空间等彼此不同的基本概念，而且，只是对张量分析中若干"条件成立"公式的滥用。

The system can be widely used in belt weighing and batching process control,etc.

介绍了基于智能模糊控制的嵌入式配料系统的设计方法，对模糊PID控制过程和系统调零作了重点的讨论，同时给出了PID控制的程序流程图和系统定长调零子程序。

"I dunno," she answered,"but if you show me aroun', I'll recognize it from the lighthouse just outside the porthole."

"我不知道，"她回答说，"如果你能带我转转，我能认出来的，因为灯塔就在舷窗外。"