查询词典 affine space

That is that information processing of neural networks is viewed as the composition of the two steps: field organization and field action, in which, field organization transformation converts input pattern into relevant structure representation, extracting the underlying architecture features and forms a architecture representation in action transformation space; The field action transformation converts the features representation into expected output. In strategies, we use the dual affine coordinates in dual flat manifold as way of representation of field organization system and field action system, which established a theoretical framework of analysis the coupling mechanism of information processing from the view of point of structure representation and model generation.

在具体人工神经网络结构描述的策略上，利用对偶流形空间上的对偶仿射坐标概念分别表示场组织变换系统和场反应变换系统，建立起从问题的结构表示和模型生成两种观点来分析信息处理的理论框架；分析了有监督和非监督学习人工神经网络模型在神经场变换机理下的形式化描述。

In this paper,the area ratio of plane figure affine transformation in space is investigated,and the transformation equation of λ multiple of area is got , the area change of plane figure under affine transformation in space is studied, a important property of three axis ellipsoid is given and proved.

探讨了空间场的仿射变换下平面图形的面积比，推导出λ倍积变换方程式，进而探讨了空间场的仿射变换下平面图形面积的变化规律，给出并证明了三轴椭球体的一个重要性质。

In the classification of QSIC, the notion of affine finiteness of a space curve is put forward.

在对两二次曲面交线的拓扑分类中，本文提出了空间曲线的仿射有限性这一性质。

First, a transformation of the model to an affine invariant space was finished prior to watermark embedding.

提出了一种基于3D网格物体的鲁棒性盲水印方案。

In affine invariant space, the 3D object is not affected by geometric transformations, such as translation, rotation and scaling.

由于在仿射不变空间下，3D物体模型不受平移、旋转和比例变换的影响，故该水印方案对于此类变化具有很强的鲁棒性。

Considering the limitation of traditional Bill of Materials models in enterprise applications, a novel BOM model based on n-dimensional affine space was proposed.

考虑到传统物料清单模型在企业应用系统中的局限性及运行效率等问题，提出一种基于 n维仿射空间的产品结构模型。

In conic optimization one minimizes a linear objective function over the intersection of an affine space with a regular cone in finite dimension.

它指的是在一个仿射空间与一个正则锥的交集上，求线性目标函数的极小或极大值。

The nonlinear mapping is realized by modelling the Local Generative units in the input space and a Global Affine transformation in the feature space.

这个非线性映射是由在输入空间中建立局部生成单元模型并且在特征空间中构建全局仿射变换来实现的。

Tetrahedron can be formed with four sequence and non-coplanar points in space,and any points in it can be represented by barycentric coordinate system with space affine transform.

给定空间不共面的四个有序数据点，可以形成一个四面体。

This method represents the virtual objects in Euclidean space instead of in affine space, which is consistent with the popular graphics rendering tools such as OpenGL and is more common in practice. A new classification based local and global tracking strategy to match features between the reference image and the currently frame directly is presented, which enables the augmented reality system working effectively even under large changes of viewing angles. A novel affine coordinate system definition method based on a collection of feature points is also proposed, which makes the tracking method effective even when not all the reference points are detected during the whole process, as long as there are at least four pairs of reference points correspondences.

该方法以仿射变换为桥梁来建立欧氏空间下的摄像机坐标系与世界坐标系之间的变换关系，它与OpenGL等当前流行的图形渲染工具一致，具有更强的通用性；采用基于分类的自然特征匹配策略，能够在视角和视点发生大幅度变化情况下依然正常工作；提出基于特征点集合的仿射坐标系定义方法，使增强现实系统在最小配置下只需4点追踪成功即可完成注册，比需要6点的透视投影方法具有更好的健壮性和精确性。

He is the most remarkable man that I have ever known.

他是我知道的人中最值得注意的人。

Increased appearance of lymphocele was noticed in patients with diabetic nephropathy, congenital malformations of the urinary tract, and inflammatory diseases, including glomerulopathy and extraglomerular ones, after high-voltage radiotherapy and after removal of the renal graft.

经过高压放射疗法和切除移植肾后，在糖尿病肾病患者、泌尿系统先天性畸形患者和炎症患者身上发现淋巴囊肿有所增加，包括肾小球病和球外疾病等。