This study proposes a blind watermarking algorithm based on Double Haar Wavelet Transform (DHWT) for copyright protection of digital images. Watermark embedding is performed in wavelet transform domain. DHWT is applied to the original cover image and binary watermark. Singular value decomposition (SVD) is applied on selected subband of cover image and binary watermark. Eigen values of selected ...

Singular value decomposition (SVD) is a useful multivariate technique for dimension reduction. It has been successfully applied to analyze microarray data, where the eigen vectors are called eigen-genes/arrays. One weakness associated with the SVD is the interpretation. The eigen-genes are essentially linear combinations of all the genes. It is desirable to have sparse SVD, which retains the di...

In this paper we present an efficient algorithm to compute the eigen decomposition of a matrix that is a weighted sum of the self outer products of vectors such as a covariance matrix of data. A well known algorithm to compute the eigen decomposition of such matrices is though the singular value decomposition, which is available only if all the weights are nonnegative. Our proposed algorithm ac...

Computer technology these days is most focused on storage space and speed. Considerable advancements in this direction can be achieved through the usage of digital image compression techniques. In this paper we present a well studied singular value decomposition based JPEG image compression technique. Singular Value Decomposition is a way of factorizing matrices into a series of linear approxim...

The rectangular microwave resonator filed by a ferrite with uniaxial magnetic anisotropy is considered. It is shown that this task can be reduced to an empty rhombus resonator with vertex angle defined by external magnetic field provided the magnetic anisotropy of the ferrite is strong. Therefore statistics of eigen frequencies for TM modes is described by the Brody or semi-Poisson distribution...

A three-dimensional quantitative structure activity relationship using the eigen value analysis (EVA) paradigm applied to 41 HIV-1 integrase inhibitors that inhibit integrase mediated cleavage (3'-processing step) and integration (3'-strand transfer step) in vitro was performed. The training set consisted of 35 molecules from five structurally diverse classes: salicylhydrazines, lichen acids, c...

A necessary step for the recognition of scanned documents is binarization, which is essentially the segmentation of the document. In order to binarize a scanned document, we can find several algorithms in the literature. What is the best binarization result for a given document image? To answer this question, a user needs to check different binarization algorithms for suitability, since differe...

∂tgij = −2Rij , on MT := M × [0, T ) where Rij is the Ricci tensor of the metric g := g(t) and T is the maximal existing time for the flow. In [2], R.Hamilton proved the local existence of the flow for the compact manifold case. His argument is much simplified by De Turck [1]. When (M,g0) is a a complete non-compact Riemannian manifold with bounded geometry, W.X.Shi [5] obtained the local exist...