查询词典 affine

In terms of subshifts of finite type determined by an irreducible marrix, affine maps of compacted connected metric abelian group and continuous maps of tree, the two concepts of topologically ergodic map and topologically transitive map are identical.

指出对于由不可约方阵所决定的符号空间有限型子转移而言，或紧致交换群的仿射变换及树上连续自映射而言，拓扑遍历与拓扑可迁这两个概念是一致的。

We systemically discuss how to uniquely decide an infinite plane homography matrix by using the structure information in scene and how to evaluate a homography matrix which convert affine reconstruction to Euclidean reconstruction by solving absolute conic images.

系统地讨论了如何利用场景中的结构信息，来唯一地确定无穷远平面的单应矩阵，进而由射影重构恢复仿射重构，以及如何通过绝对二次曲线的像求解将仿射重构变换为欧氏重构的单应矩阵。

In the first part, depending on three or more images, the main research work are listed as follows:(1) using SVD decomposition to realize projective reconstruction;(2) realizing camera self-calibration by solving Kruppa's equation;(3) recovering Euclidean reconstruction from projective reconstruction. Depending on only two images, the main researches are:(1) making out infinite plane homography matrix by using scene structure information, then recovering affine reconstruction from projective reconstruction;(2) making out the absolute conic images by using scene structure information, and then recovering Euclidean reconstruction from projective reconstruction.

在第一部分中，针对三幅及三幅以上的图像，主要研究：①利用矩阵奇异值分解实现射影重构，②通过求解Kruppa方程实现摄像机自标定，③由射影重构恢复欧氏重构；针对只有两幅图像的情况，主要研究：①利用场景结构信息求解无穷远平面的单应矩阵，由射影重构恢复仿射重构，②利用场景结构信息求解绝对二次曲线的像，由仿射重构恢复欧氏重构。

The algorithm transform the line parallelism and plane orthogonality into some new constraints on auto-calibration equations, which makes the affine and Euclidean characteristics of the absolute quadric close to the practical one.

该算法将景物中出现的直线的平行性和平面的正交性转换为新的求解相机自定标方程的约束条件。

Then, the relations between the general nonlinear systems and its adjoint system were discussed, from which the sufficient and necessity conditions for exact linearization of general nonlinear control systems were obtained. The conclusions include the corresponding results of the affine nonlinear systems.

引入一类相关的仿射非线性系统，通过研究一般非线性系统与其伴随系统的关系，利用伴随系统的精确线性化结论，获得一般非线性系统精确线性化的充要条件，其结果包含了仿射非线性系统的已有结果。

Exact linearization problems of general nonlinear control systems were discussed. At first, it defined an adjoint system by introducing an affine nonlinear system.

摘 要：讨论了一般非线性控制系统状态方程无反馈精确线性化及反馈精确线性化。

After a historical motivation of the definition of a Lie group we shall develop basic manifold theory, vector fields, tangent spaces leading to the Exponential mapping for an affine connection.

在简单介绍了李群的定义的历史来源之后，我们将讨论关於流形理论、向量场和切空间，进而引出仿射联络的指数映射的基本知识。

The method of setting up an affine coordinates system to solve the problems for the spatial crank and rocker mechanism is proposed.

分析并回顾了在给定摇杆两个极限位置及行程速度变化系数的情况下，最小传动角为最大的平面曲柄摇杆机构和空间曲柄摇杆机构的设计问题。

The geometric detail is represented as the set of the local affine coordinates of the base surface and extracted effectively and efficiently in user specified frequency band of geometric signal.

通过基曲面上的局部仿射坐标，则可以得到与之对应的多分辨率几何细节表示，曲面的低频信息和高频信息易被用户所指定的频段分离。

Based on the idea, this paper proposed an efficient algorithm to compute 3P+Q directly over F in terms of affine coordinates, its computational complexity was 1I+3S+16M, saving one field inversion compared to Ciet's method.

根据这种思想，提出了素域F上用仿射坐标直接计算3P+Q的算法，其运算量为1I+3S+16M，比Ciet等人提出的方法节省了一次求逆运算。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失