射影坐标

By taking advantage of a corollary of the Desargues theorem and the corresponging extension of Desarguesian configuration, the concept of stereohomology has been defined in projective geometry and presented based on homogeneous coordinates. Consequently, a series of geometrical transformations, such as central projection, parallel projection, centrosymmetry, translation transformation, reflection, rotation transformation, which can be contained in it or derived from it have also been analytically defined.

利用Desargues定理的一个推论和引申的Desargues图形，给出"空间透射"在射影几何意义下基于齐次坐标表象的解析定义，从而解析定义了可蕴涵其中的中心投影、平行投影、中心对称、平移、反射等几何变换以及可由此衍生出的旋转变换。

Using homogeneous projective coordinate,this paper presents a researches of the dual of projective space and reveals the essence of dual fundamentals of projective space the same coordinate represents both point and plane,and there is a dual relation in the point and plane.

射影空间是对偶结构，用齐次射影坐标研究了射影空间的对偶原理，从而揭示出射影空间里互相对偶的点与平面的坐标之间的内在联系

Based on projective geometry,a whole set of new stereoscopic3D-PIV theory was established by making use of homogeneous coordinates lineartransform.

文中从射影空间出发，利用笛氏齐次坐标线性变换的方法，建立了一套完整的体视3D-PIV三维重建理论。

In this paper, some decision theorems are suggested about the matrix orthogonal problem on the subspace of the finite dimensional Euclidan subspace. In addition, some concise results are obtained by matrix representation of the orthogonal complement and injection of vectors on the subspace.

利用向量组的Gram矩阵和向量的坐标矩阵对有限维欧氏空间中子空间的正交性给出了矩阵判定条件，对子空间的正交补及向量在子空间上的内射影给出了矩阵表示，获得了一些简捷有用的结果。

A notable merit of parallel coordinates is its well-founded mathematical foundation.Its projective geometrical interpretation and duality properties facilitate the simultaneous projection information representation of multiple low dimension subspaces.

平行坐标的一个显著优点是其具有良好的数学基础，其射影几何解释和对偶特性使它可以很好地同时表达高维数据在多个低维子空间的投影信息。

From projective geometry aspect,this paper applies the vector operation characteristics of homogeneous coordinate to the intersection simulation.

从射影几何的角度，提出了一种灭点计算方法，即将齐次坐标的向量运算特性应用到交点拟合中，利用最小二乘法整体平差，较精确地提取空间平行线在平面透视图中的交点。

Four types of the point multiplication algorithms are analyzed in this thesis. Considering the characteristics of subjacent operation, it is concluded that the Montgomery algorithm is easily implemented with FPGA.

上层运算中最重要的部分是KP运算，结合底层有限域运算的特点对四种求KP的快速算法进行分析，最终选择了射影坐标下的Montgomery方法并给出了其FPGA实现算法。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。