singular set

Generalized Two-direction Singular Rough Set and Its General Structures

广义双向S-粗集和它的一般结构

This paper presents concepts of elementary transfer F, F on the universe of discourse U, single-direction singular set and both-direction singular set.

给出论域U上元素迁移F，F，单向奇异集合，双向奇异集合的概念；

The unbound regions are modeled as interface cracks, and a set of singular integral equations derived.

把脱离区看做界面裂纹, 将问题归结为一组奇异积分方程.

First, eyes and mouths are segmented from the facial expression image and variant moments and singular value feature vectors of eyes and mouth are extracted. Then Fisher linear discriminant analysis is used to find a set of optimal feature vectors.

先对面部表情图像进行了分割，得到眼睛和嘴巴区域，然后分别对眼睛和嘴巴区域提取不变矩和奇异值特征向量，并进行Fisher线性判别分析，最后训练了支持向量机分类器。

Rather than estimating the BRDF function or any parameters in a reflectance model, Singular Value Decomposition ( SVD) is used to estimate a low dimensional approximation of the image set of a Lambertian object under both changing of illumination and geometrical pose.

所提出的方法不是直接去估计对象反射模型中的参数，或是去拟合BRDF函数，而是用奇异值分解（SVD）来拟合Lambertian对象在光照和几何朝向变化情况下的所有图像集合。

The improved PCA is used to reduce the dimension first to get the optimal characteristic subspace of the original sample data set. In this process, the intra-class scatter matrix of the characteristic subspace should be ensured to be non-singular.

首先，用改进PCA算法对原样本降维，获得最优特征表示子空间；然后，在保证该子空间类内散度矩阵非奇异的基础上，作改进的线性判别分析。