The Experts below are selected from a list of 22623 Experts worldwide ranked by ideXlab platform
Dumitru Baleanu - One of the best experts on this subject based on the ideXlab platform.
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on the analysis of chemical kinetics system pertaining to a fractional Derivative with mittag leffler type kernel
Chaos, 2017Co-Authors: Jagdev Singh, Devendra Kumar, Dumitru BaleanuAbstract:The pivotal aim of this paper was to analyze a new fractional model of chemical kinetics system related to a newly discovered Atangana-Baleanu Derivative with fractional order having non-singular and non-local kernel. The numerical solution is derived by making use of the iterative scheme. The existence of the solution of chemical kinetics system of arbitrary order is examined by implementing the fixed-point theorem. The uniqueness of the special solution of the studied model is shown. The effect of different variables and order of arbitrary ordered Derivative on concentrations is demonstrated in tabular and graphical forms. The numerical results for chemical kinetics system pertaining to the newly Derivative with fractional order are compared with the chemical kinetics system involving Classical Derivative.
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comparative spectral analysis of veterinary powder product by continuous wavelet and Derivative transforms
Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy, 2007Co-Authors: Erdal Dinc, Murat Kanbur, Dumitru BaleanuAbstract:Abstract Comparative simultaneous determination of chlortetracycline and benzocaine in the commercial veterinary powder product was carried out by continuous wavelet transform (CWT) and Classical Derivative transform (or Classical Derivative spectrophotometry). In this quantitative spectral analysis, two proposed analytical methods do not require any chemical separation process. In the first step, several wavelet families were tested to find an optimal CWT for the overlapping signal processing of the analyzed compounds. Subsequently, we observed that the coiflets (COIF–CWT) method with dilation parameter, a = 400, gives suitable results for this analytical application. For a comparison, the Classical Derivative spectrophotometry (CDS) approach was also applied to the simultaneous quantitative resolution of the same analytical problem. Calibration functions were obtained by measuring the transform amplitudes corresponding to zero-crossing points for both CWT and CDS methods. The utility of these two analytical approaches were verified by analyzing various synthetic mixtures consisting of chlortetracycline and benzocaine and they were applied to the real samples consisting of veterinary powder formulation. The experimental results obtained from the COIF–CWT approach were statistically compared with those obtained by Classical Derivative spectrophotometry and successful results were reported.
Adrien Bartoli - One of the best experts on this subject based on the ideXlab platform.
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a differential algebraic projective framework for the deformable single view geometry of the 1d perspective camera
Journal of Mathematical Imaging and Vision, 2019Co-Authors: Adrien BartoliAbstract:Single-View Geometry (SVG) studies the world-to-image mapping or warp, which is the relationship that exists between a body’s model and its image. For a rigid body observed by a projective camera, the warp is described by the usual camera matrix and its properties. However, it is clear that for a body whose deformation state changes between the body’s model and its image, the ‘simple,’ globally parameterized warp described solely by the camera matrix, breaks down. Existing work has exploited deformation to reconstruct the deformed body from its image, but did not establish the properties of the deformable warp. Studying these properties is part of deformable SVG and forms a recent research topic. Because deformations may take place anywhere in the object’s body, and because they may be uncorrelated, the warp is local in nature. Using a differential framework is thus an obvious choice. We propose a differential–algebraic projective framework based on modeling the body’s surface by a locally rational projective embedding and on the 1D projective camera. We show that this leads, via the study of univariate rational functions, to differential invariants that the warp must satisfy. It may seem surprising, given the generic hypothesis made on the observed body, hardly stronger than mere local smoothness, that constraints can still be found. Our framework generalizes the Schwarzian Derivative, the first-order projective differential invariant, which holds under the assumption that the body’s shape is locally linear. Our invariants may be used to construct regularizers to be used in warp estimation. We report experimental results of two types on simulated and real data. The first type shows that the proposed invariants hold well for an independently estimated warp. The second type shows that the proposed regularizers improve warp estimation from point correspondences compared to the Classical Derivative-penalizing regularizers.
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a differential algebraic projective framework for the deformable single view geometry of the 1d perspective camera
Journal of Mathematical Imaging and Vision, 2019Co-Authors: Adrien BartoliAbstract:Single-View Geometry (SVG) studies the world-to-image mapping or warp, which is the relationship that exists between a body’s model and its image. For a rigid body observed by a projective camera, the warp is described by the usual camera matrix and its properties. However, it is clear that for a body whose deformation state changes between the body’s model and its image, the ‘simple,’ globally parameterized warp described solely by the camera matrix, breaks down. Existing work has exploited deformation to reconstruct the deformed body from its image, but did not establish the properties of the deformable warp. Studying these properties is part of deformable SVG and forms a recent research topic. Because deformations may take place anywhere in the object’s body, and because they may be uncorrelated, the warp is local in nature. Using a differential framework is thus an obvious choice. We propose a differential–algebraic projective framework based on modeling the body’s surface by a locally rational projective embedding and on the 1D projective camera. We show that this leads, via the study of univariate rational functions, to differential invariants that the warp must satisfy. It may seem surprising, given the generic hypothesis made on the observed body, hardly stronger than mere local smoothness, that constraints can still be found. Our framework generalizes the Schwarzian Derivative, the first-order projective differential invariant, which holds under the assumption that the body’s shape is locally linear. Our invariants may be used to construct regularizers to be used in warp estimation. We report experimental results of two types on simulated and real data. The first type shows that the proposed invariants hold well for an independently estimated warp. The second type shows that the proposed regularizers improve warp estimation from point correspondences compared to the Classical Derivative-penalizing regularizers.
Elmira Abdollahzade Esmaeili - One of the best experts on this subject based on the ideXlab platform.
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simultaneous spectrophotometric determination of cyproterone acetate and ethinyl estradiol in tablets using continuous wavelet and Derivative transform
Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy, 2010Co-Authors: Mahmoud Reza Sohrabi, Parviz Abdolmaleki, Elmira Abdollahzade EsmaeiliAbstract:Abstract In this study a zero crossing technique based on continuous wavelet transform (CWT) as well as Classical Derivative spectrophotometry (CDS) is presented for simultaneous determination of cyproterone acetate and ethinyl estradiol in binary mixtures and commercial dosage of drug, without using prior chemical pre-treatment. Absorption spectra were recorded in the wavelength range 200–400 nm. Absorbance data were subjected to various mother wavelets from continuous wavelet transform family to find the optimum point of the wavelet signal processing (Matlab 7.5) gaus 15 and morl wavelet functions with scaling factor, a = 70 and 3rd Derivative with Δ λ = 10 nm, were selected. Optimum value of scaling factor was chosen to obtain an appropriate calibration for each method. The validation of proposed methods was investigated by several synthetic mixtures and obtained results were successfully compared among each other. Mean recovery values were found between 96.93% and 101.7% for CWT and 95.55% and 104.22% for DS, respectively for the determination of cyproterone acetate and ethinyl estradiol in synthetic mixtures. The developed methods are rapid, precise and easy to apply for the analysis of overlapping signals of the components in the mixtures. Obtained results from the CWT were compared to those yielded by CDS which were in good agreement and therefore led to a successful determination.
Erdal Dinc - One of the best experts on this subject based on the ideXlab platform.
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comparative spectral analysis of veterinary powder product by continuous wavelet and Derivative transforms
Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy, 2007Co-Authors: Erdal Dinc, Murat Kanbur, Dumitru BaleanuAbstract:Abstract Comparative simultaneous determination of chlortetracycline and benzocaine in the commercial veterinary powder product was carried out by continuous wavelet transform (CWT) and Classical Derivative transform (or Classical Derivative spectrophotometry). In this quantitative spectral analysis, two proposed analytical methods do not require any chemical separation process. In the first step, several wavelet families were tested to find an optimal CWT for the overlapping signal processing of the analyzed compounds. Subsequently, we observed that the coiflets (COIF–CWT) method with dilation parameter, a = 400, gives suitable results for this analytical application. For a comparison, the Classical Derivative spectrophotometry (CDS) approach was also applied to the simultaneous quantitative resolution of the same analytical problem. Calibration functions were obtained by measuring the transform amplitudes corresponding to zero-crossing points for both CWT and CDS methods. The utility of these two analytical approaches were verified by analyzing various synthetic mixtures consisting of chlortetracycline and benzocaine and they were applied to the real samples consisting of veterinary powder formulation. The experimental results obtained from the COIF–CWT approach were statistically compared with those obtained by Classical Derivative spectrophotometry and successful results were reported.
Mahmoud Reza Sohrabi - One of the best experts on this subject based on the ideXlab platform.
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simultaneous spectrophotometric determination of cyproterone acetate and ethinyl estradiol in tablets using continuous wavelet and Derivative transform
Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy, 2010Co-Authors: Mahmoud Reza Sohrabi, Parviz Abdolmaleki, Elmira Abdollahzade EsmaeiliAbstract:Abstract In this study a zero crossing technique based on continuous wavelet transform (CWT) as well as Classical Derivative spectrophotometry (CDS) is presented for simultaneous determination of cyproterone acetate and ethinyl estradiol in binary mixtures and commercial dosage of drug, without using prior chemical pre-treatment. Absorption spectra were recorded in the wavelength range 200–400 nm. Absorbance data were subjected to various mother wavelets from continuous wavelet transform family to find the optimum point of the wavelet signal processing (Matlab 7.5) gaus 15 and morl wavelet functions with scaling factor, a = 70 and 3rd Derivative with Δ λ = 10 nm, were selected. Optimum value of scaling factor was chosen to obtain an appropriate calibration for each method. The validation of proposed methods was investigated by several synthetic mixtures and obtained results were successfully compared among each other. Mean recovery values were found between 96.93% and 101.7% for CWT and 95.55% and 104.22% for DS, respectively for the determination of cyproterone acetate and ethinyl estradiol in synthetic mixtures. The developed methods are rapid, precise and easy to apply for the analysis of overlapping signals of the components in the mixtures. Obtained results from the CWT were compared to those yielded by CDS which were in good agreement and therefore led to a successful determination.