necessary and sufficient conditions for every closed maximal linear subspace to be strongly orthogonally complemented in banach spaces 空间上闭线性子空间强正交可补的充分必要条件
we proved that every closed maximal linear subspace in a banach space is strongly orthogonally complemented if and only if the space x is reflexive and strictly convex 摘要证明了闭的极大线性子空间是强正交可补的充分必要条件是,空间x是自反严格凸的。
(2 ) a face detector based on mixtures of linear subspaces on the pattern recognition, it is very natural to view face detection as a problem of classification (2)基于混合线性子空间人脸检测方法将人脸检测问题转化一个分类问题在模式识别中是一个较为自然的想法。
since the images of a human face lie in a complex subset of the image space that is unlikely to be modeled by a single linear subspace, we use a mixture of linear subspaces to model the distribution efface and non-face patterns . in the other words, we used fisher linear discriminator to project samples from a height dimensional image space to a lower dimensional feature space 对于背景复杂的人脸图象的检测,使用单个线性线性子空间很难准确地区分出人脸和非人脸模式,因此,本文使用混合线性子空间对人脸和非人脸样本的分布进行建模,在利用自组织映射神经网络标识人脸和非人脸样本的基础上构建一个fisher人脸检测器。
since the images of a human face lie in a complex subset of the image space that is unlikely to be modeled by a single linear subspace, we use a mixture of linear subspaces to model the distribution efface and non-face patterns . in the other words, we used fisher linear discriminator to project samples from a height dimensional image space to a lower dimensional feature space 对于背景复杂的人脸图象的检测,使用单个线性线性子空间很难准确地区分出人脸和非人脸模式,因此,本文使用混合线性子空间对人脸和非人脸样本的分布进行建模,在利用自组织映射神经网络标识人脸和非人脸样本的基础上构建一个fisher人脸检测器。