Studying on singular value decomposition applied in image scrambling degree evaluation
Tieniu Tan · Computer Engineering and Applications Journal · 2009
The new image scrambling degree evaluation method based on matrix singular value decomposition is proposed.This paper firstly constructs the absolute value matrix of difference matrix being composed of original matrix and scrambled one.Then the product of gray difference absolute value matrix and its transpose matrix is computed and is decomposed into left orthogonal matrix,diagonal matrix and right orthogonal matrix.Last the discrete probability distribution is defined by means of diagonal element of diagonal matrix,and the information entropy of its probability distribution is computed and acted as the evaluation function of image scrambling degree.Experimental results show that the proposed method is effective to describe the relation between the scrambling effect and the number of iterations in the scrambling techniques,which largely consists with human vision.For different images,when some transformation is used,this evaluation method can reflect to some extent the scrambling effects in each scrambling stage.