投影地

Based on the former chapter, one method based on fundamental matrix and crossrate is proposed in this chapter to render novel image considering the character of fundamental and cross-rate invariant in the perspective project, which utilized the correspondence relationship between the given two images and projective invariant between images to render novel image.

该方法通过将基本矩阵的稳定性求解问题转化为一个有条件的极值求解问题，结合遗传算法良好的全局寻优特点，将该方法很好地引入到基本矩阵的求解中，并取得了良好的实验结果。（5）第五章在上一章的基础上，综合基本矩阵和透视投影中的交比不变性的特点，提出了一种基于基本矩阵和交比的生成新图象的方法，这种利用已知两幅图象之间存在的匹配关系和新图象和已知图象存在的透视不变量，来生成新图象。

In order to effectively Abstract the texture and denoise but not damage the edge and other important details of image,Meyer(2001) proposed using elements of BV space and G space to characterize cartoon and details of image respectively.The authors present PDE of minimizing energy on the basis of Meyer s work.

为有效地提取纹理和去噪而不损坏图像的边缘及其他重要细节，Meyer(2001)提出了分别用BV空间和G空间刻画图像的主体和细节部分，笔者在Meyer的图像分解模型基础上，建立能量最小化PDE方程，将模型离散化后，利用投影算法和ROF模型的求解方法，将图像分解为有界变差部分u和包含纹理和噪声的部分v。

This method uses K-L transform to produce matrix of sample aggregate, get a low dimension sub space to describe the wrist bone's radiographs. Each image makes projection, and obtains one group of coordinate coefficients. The coefficients indicating the position of this image in sub space can be discerned the image feature.

该方法通过对由中指骨组成的训练样本集的产生矩阵做K-L变换，用一个低维子空间来描述中指骨X光图像，每幅图像向其作投影，并获得一组坐标系数，这组系数表明了该图像在降维子空间中的位置，能较好地表征该幅图像的特征信息。

This method uses K-L transform to produce matrix of sample aggregate, get a low dimension sub space to describe the wrist bones radiographs. Each image makes projection, and obtains one group of coordinate coefficients. The coefficients indicating the positionof this image in sub space can be discerned the image feature.

该方法通过对由中指骨组成的训练样本集的产生矩阵做K-L变换，用一个低维子空间来描述中指骨X光图像，每幅图像向其作投影，并获得一组坐标系数，这组系数表明了该图像在降维子空间中的位置，能较好地表征该幅图像的特征信息。

In this thesis, we implement a real-time pointing system which, unlike ordinary 3D reconstruction approaches, uses homography and some known 3D reference planes to reconstruct the target point without using camera's intrinsic parameters and orientation. The basic concept is quite intuitive and easy to realize.

本论文中实作了一个即时的指向系统，不同於其他相关的研究中使用传统三维重建的方法来找出指向点，我们没有使用到相机的内部参数以及朝向等资讯，而是利用平面投影转换以及一些三维空间内的平面关系作为系统实作的基础，概念上较为直觉而且也相对地容易理解。

In the complicated data disposal course, projection deformation of lengths is ineluctability to take place.

在这个复杂的数据处理过程中，不可避免地会产生边长投影变形。

Spherical, rectangular, Mercator and Miller projections are implemented, and all features can be interactively set from the GUI.

实现了球形，矩形， Mercator 和Miller的投影，所有的功能能从GUI交互式地建立。

Two-dimensional scatter plot of principal axes analysis,systematic cluster tree and the minimal spanning tree on the basis of niche overlaps were drawn,which revealed the ecological similarity of 42 moss species.The combinative application of principal axes analysis,systematic cluster analysis and minimal spanning tree method on the basis of niche overlaps could express the ecological similarities among species intuitively.

以此为指标，分别应用主坐标排序、图论聚类及系统聚类分析方法，作出了反映42种地面藓类的种间生态关系的二维投影图、最小生成树和动态聚类图。3种方法相结合，能够对生态位重叠值矩阵进行直观地表达，并使所表达的藓类种间关系具有确切的生态学含义。

Partial least squares regression is a new high-dimension-project-based nonparametric analysis method, which is an extension of ordinal least squares to deal with some defects of OLS much more efficiently.

偏最小二乘回归是一种基于高维投影思想的新的非参数回归方法，是对一般最小二乘的改进，比较有效地克服了OLS的部分缺点。

According to the transformation relationship between the geographic coordinate system and oblique conical projection, then realize the transformation between the two.

斜轴方锥投影反在外邦海岸带外当用做用非常现亮，它最大限造地脆持了人邦海岸带的完齐。

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。