A fuzzy edge detector driven telegraph total variation model for image despeckling

<p style='text-indent:20px;'>Speckle noise suppression is a challenging and crucial pre-processing stage for higher-level image analysis. In this work, a new attempt has been made using telegraph total variation equation and fuzzy set theory for image despeckling. The intuitionistic fuzzy divergence function has been used to distinguish between edges and noise. To the best of the authors' knowledge, most of the studies on the multiplicative speckle noise removal process focus only on diffusion-based filters, and little attention has been paid to the study of fuzzy set theory. The proposed approach enjoys the benefits of both telegraph total variation equation and fuzzy edge detector, which is robust to noise and preserves image structural details. Moreover, we establish the existence and uniqueness of weak solutions of a regularized version of the present system using the Schauder fixed point theorem. With the proposed technique, despeckling is carried out on natural, real synthetic aperture radar, and real ultrasound images. The experimental results computed by the suggested method are reported, which are found better in terms of noise elimination and detail/edge preservation, concerning the existing approaches.</p>

The Collocation Method's Application on Low Earth Orbit Satellite Orbit Integration

This paper starts with the principle and operation approaches of Collocation orbit integration method, analyzing the integration process and initialization value of motion equation and variation equation. Through different integration lengths and polynomial degrees, this paper discussed the impact to orbit precision. It also compares the results to the scientific orbit which were offered by GFZ, through the analysis of this method; we also find the appropriate integration length and polynomial degree and validate the validity of this method.

The Study of Fracturing Crack Propagation Regulation Based on Information Entropy Theory

In this paper, we introduce the entropy theory and energy theory into the research of analyzing the crack open and propagation. Regulation, analyzing the factors that affect fractured crack propagation, and establishing the method of researching fractured crack propagation using entropy theory. Transforming the stress factor that affect crack propagation into entropy value, and on that basis we established the entropy variation equation for calculating the crack open, and obtained the new criterion and model for calculating fracturing crack open. Obtaining a new method for describing crack propagation regulation from the entropy aspect. Revealing the nature of crack open, propagation and close from microscope.

DYNAMICS OF PLATE WITH POLYMERIC COATING

The paper considers the problem of suppressing vibration in a metal plate with polymeric coating. These types of plates are loaded with periodic variable force. The linear theory of plates and the method of complex numbers were used for calculations. The variation equation of oscillation was solved by the Ritz method. Optimum thickness of polymeric coating was determined for particular compositions of metal and plastics.

An application of the Morse theory to foliated manifolds

In [5], R. Thorn has started the study of the foliated structures by using the Morse theory. Recently K. Yamato [7] has studied the topological properties of leaves of a codimension one foliated manifold by investigating the “critical points” of variation equation of the given one-form.

Qualitative Theory of Codimension-One Foliations

The object of the present paper is to give a method of studying the topological properties of integral manifolds defined by a completely integrable one-form.Our method is differential-topological. Through the singular points of the variation equation of the given one-form, we investigate the qualitative properties of the integral manifolds.

On the new field theory

The purpose of this paper is to derive the dynamical conditions governing the motion of point charges in the New Field Theory from the variation equation δ ∫ H√- g dx 1 dx 2 dx 3 dx 4 = 0, of Born and infeld, where the coordinates of the charges, as well as the field strengths, are varied; also to develop the theory along lines parallel to classical mechanics, with a view to generalization to the quantum theory in a later paper. It was clear from the start of the New Field Theory (although not fully appreciated in I and II) that the motion of the charges was not governed by the field equations alone, and that some further condition had to be added. It was also clear from physical considerations of conservation of energy and momentum what this condition had to be; namely, that the total force ( see § 5) on each charge must vanish. But hitherto this has not been derived from the more basic variation equation.