图像奇异值特征矢量缩放不变性分析及应用

Invariance analysis and application of the image singular value vector

图像奇异值特征矢量以其稳定性和它在转置、平移、旋转和镜像变换下具有的不变性,被认为是一种图像的代数特征,广泛应用于图像匹配和图像识别。通过矩阵运算,证明了奇异值特征矢量在图像做缩放变换时具有不变性,并将这种性质运用于图像匹配。实验结果表明这种不变性与奇异值特征矢量在图像做转置、平移、旋转和镜像变换时所具有的不变性一样,是奇异值特征矢量能够作为图像代数特征的一个重要依据。

The image singular value vector has invariance about the transformation of translation, rotation, etc. It is considered as a kind of image algebraic character, applied in image matching and image recognition widely. By matrix operation, the invariance of image singular value vector about the reducing and enlarging transformation is proved, and this character is applied to the image matching. The experimental results show this invariance is an important character of the image singular value vector as same as other invariance about the translation and rotation transformation.