The deconvolution of a single Gaussian kernel is extended to a sum of Gaussian kernels with positive coefficients (case 1) and to a Mexican hat (case 2). In case 1 the normalization requires the sum of the normalized Gaussian kernels to be always 1, i.e. c0 + c1 + c2 + · · · = 1. Each coefficient satisfies ck > 0. In case 2 (Mexican hat) the properties c0 + c1 = 1 with c0 > 1and c1 < 0 hold; c1...

Security parameters and attack countermeasures for Lattice-based cryptosystems have not yet matured to the level that we now expect from RSA and Elliptic Curve implementations. Many modern Ring-LWE and other lattice-based public key algorithms require high precision random sampling from the Discrete Gaussian distribution. The sampling procedure often represents the biggest implementation bottle...

A variational formulation of an image analysis problem has the nice feature that it is often easier to predict the e ect of minimizing a certain energy functional than to interpret the corresponding EulerLagrange equations. For example, the equations of motion for an active contour usually contains a mean curvature term, which we know will regularizes the contour because mean curvature is the r...

Visual information transmitted in the form of digital images is becoming a major method of communication in the modern age, but the image obtained after transmission is often corrupted with noise. The received image needs processing before it can be used in applications. A New Fuzzy Filter that adopts Fuzzy Logic is proposed in this paper which removes Gaussian Noise from the Corrupted Gray sca...

This paper presents two theoretical models to assess the variance of fatigue damage in stationary narrow-band and non-Gaussian stochastic processes. The extend solutions existing literature restricted Gaussian new here developed exploit a non-linear transformation that links domains based on skewness kurtosis coefficients, which are used quantify deviation from distribution. Monte Carlo numeric...

Dense atomic vapors have strong non-linear optical properties for near-resonant light. As a result, an initially Gaussian beam profile is strongly distorted due to propagation through such dense vapor, leading various distinct profiles. In our experiment, we track the detuning from resonance at which these profiles occur as function of intensity. We establish curve intensity each shape two diff...

X-ray reflectivity (XRR) is widely used for thin-film structure analysis, and XRR data analysis involves minimizing the difference between experimental an curve calculated from model parameters describing structure. This takes a certain amount of time because it many unavoidable iterations. However, recently introduced artificial neural network (ANN) method can dramatically reduce in case repea...

sulforaphane, an isothiocyanate found in broccoli and other cruciferous vegetables. it is an antioxidantand anti-cancer agent, and reduces blood pressure, and also has anti-allergic effects.in this article, six theoretical methods have been used for calculation of physical parameters insolforaphane and several similar compounds. we calculated physical parameters like atomic charges.energy (ae) ...

A 3.5 GHz OAM antenna with ±1 mode was designed and fabricated, the channel measurement in frequency domain used to measure full angle under indoor multipath scenarios. Then, modified probability density function of Gaussian distribution, Laplacian Von Mises distribution are establish full-angle statistical model. The fitting curve results well represent characteristics scenario.