A Mixid Theory of Information - IV: Inset-Inaccuracy and Directed Divergence.
A *-mixing convergence theorem for convex set valued processes.
A modification of the Whittaker-Kotelnikov-Shannon sampling series.
A modified convolution and product theorem for the linear canonical transform derived by representation transformation in quantum mechanics
The Linear Canonical Transform (LCT) is a four parameter class of integral transform which plays an important role in many fields of signal processing. Well-known transforms such as the Fourier Transform (FT), the FRactional Fourier Transform (FRFT), and the FreSnel Transform (FST) can be seen as special cases of the linear canonical transform. Many properties of the LCT are currently known but the extension of FRFTs and FTs still needs more attention. This paper presents a modified convolution...
A multi-model stereo similarity function based on monogenic signal analysis in Poisson scale space.
A new approach to mutual information
A new expression as a certain asymptotic limit via "discrete micro-states" of permutations is provided for the mutual information of both continuous and discrete random variables.
A new approach to mutual information. II
A new concept of mutual pressure is introduced for potential functions on both continuous and discrete compound spaces via discrete micro-states of permutations, and its relations with the usual pressure and the mutual information are established. This paper is a continuation of the paper of Hiai and Petz in Banach Center Publications, Vol. 78.
A new approach to the ElGamal encryption scheme
The ElGamal encryption scheme can be used for both digital signatures and encryption, and its security results from the difficulty of calculating discrete logarithms in a finite field. This algorithm usually works in a multiplicative group of GF(p) and in this case the progress in the discrete logarithm problem forces the users of such a basic ElGamal public key cryptosystem to permanently increase a prime modulus p in order to ensure the desired security. But the task of finding a multiplicative...
A new generalization of entropy and its characterization
A new high-speed foreign fiber detection system with machine vision.
A new method for the nonlinear approximation of signals. I. The optimal damping factor
A new method for the nonlinear approximation of signals. II. The convergence problem
A new method of constructing a lattice basis and its applications to cryptanalyse short exponent RSA.
A new variational model for segmenting objects of interest from color images.
A non-convex diffusion model for simultaneous image denoising and edge enhancement.
A Nonlinear Parabolic Model in Processing of Medical Image
The image's restoration is an essential step in medical imaging. Several Filters are developped to remove noise, the most interesting are filters who permits to denoise the image preserving semantically important structures. One class of recent adaptive denoising methods is the nonlinear Partial Differential Equations who knows currently a significant success. This work deals with mathematical study for a proposed nonlinear evolution partial differential equation for image processing. The existence...
A nonnegatively constrained trust region algorithm for the restoration of images with an unknown blur.
A note on characterizations of entropies
A note on homomorphisms of a free monoid.
A note on minimum rank and maximum nullity of sign patterns.