Images are frequently disrupted by noise of all kinds, making image restoration very challenging. There have been many different denoising models proposed over the last few decades. Some preserve image’s smooth region, while others texture margin. One these methods is using quantum calculus. Quantum calculus a branch mathematics that deals with manipulation functions and operators in mechanical...

For a homeomorphism $$T :X \rightarrow X$$ of compact metric space X, the stabilized automorphism group $${\text {Aut}}^{(\infty )}(T)$$ consists all self-homeomorphisms X which commute with some power T. Motivated by study these groups in context shifts finite type, we introduce certain entropy for called local $${\mathcal {P}}$$ entropy. We show that when (X, T) is non-trivial mixing shift de...

A linear chain on a simple cubic lattice was simulated by the Metropolis Monte Carlo method using a combination of local and non-local chain modifications. Kink-jump, crankshaft, reptation and end-segment moves were used for local changes of the chain conformation, while for non-local chain rearrangements the "cut-and-paste" algorithm was employed. The statistics of local micromodifications was...

Maximally stable extremal regions MSER is a state-of-the-art method in local feature detection. However, this method is sensitive to blurring because, in blurred images, the intensity values in region boundary will vary more slowly, and this will undermine the stability criterion that the MSER relies on. In this paper, we propose a method to improve MSER, making it more robust to image blurring...

We study the relationship between entanglement and spectral gap for local Hamiltonians in one dimension. The area law for a one-dimensional system states that for the ground state, the entanglement of any interval is upper-bounded by a constant independent of the size of the interval. However, the possible dependence of the upper bound on the spectral gap ∆ is not known, as the best known gener...