Sparse Representation On Single Image

Jin Tan, Taiping Zhang, Yuanyan Tang
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Abstract

In recent years, sparse representation of vector signals has been successfully applied in the field of pattern recognition. However, this approach can not be used for single image, as it may require the dictionary to be overcomplete. In addition, the sparse coefficients lack some geometric explanations. This work proposes a novel sparse coding technique on single image. This sparse coding coefficients have explicitly the geometric explanations of images. It depicts the structure information of the image which is robust to variations in illumination, expression, and occlusion. Therefore, the sparse coding coefficients can be used for feature representation of images on small sample case. Experiments on face databases demonstrate the effectiveness of the new sparse coding model.
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单幅图像的稀疏表示
近年来,向量信号的稀疏表示已成功地应用于模式识别领域。但是,这种方法不能用于单个图像,因为它可能需要字典过于完整。此外,稀疏系数缺乏一些几何解释。本文提出了一种新的单幅图像稀疏编码技术。该稀疏编码系数具有明确的图像几何解释。它描述了图像的结构信息,对光照、表情和遮挡的变化具有鲁棒性。因此,稀疏编码系数可以用于小样本情况下图像的特征表示。在人脸数据库上的实验证明了该稀疏编码模型的有效性。
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