International journal of applied mathematics and statistics, 2013
In the present paper a reconstruction algorithm is proposed for Discrete Radon Transform and the ... more In the present paper a reconstruction algorithm is proposed for Discrete Radon Transform and the reconstruction results are compared with other reconstruction methods.
International Journal of Wavelets, Multiresolution and Information Processing
Applying machine learning in life sciences, especially diagnostics, has become a key area of focu... more Applying machine learning in life sciences, especially diagnostics, has become a key area of focus for researchers. Combining machine learning with traditional algorithms provides a unique opportunity of providing better solutions for the patients. In this paper, we present study results of applying the Ridgelet Transform method on retina images to enhance the blood vessels, then using machine learning algorithms to identify cases of Diabetic Retinopathy (DR). The Ridgelet transform provides better results for line singularity of image function and, thus, helps to reduce artefacts along the edges of the image. The Ridgelet Transform method, when compared with earlier known methods of image enhancement, such as Wavelet Transform and Contourlet Transform, provided satisfactory results. The transformed image using the Ridgelet Transform method with pre-processing quantifies the amount of information in the dataset. It efficiently enhances the generation of features vectors in the convo...
The stability of a non-Newtonian nanofluid saturated horizontal rotating porous layer subjected t... more The stability of a non-Newtonian nanofluid saturated horizontal rotating porous layer subjected to thermal conductivity and viscosity variation is investigated using linear and nonlinear stability analyses. The model used for the non-Newtonian nanofluid includes the effects of Brownian motion and thermophoresis. The Darcy law for the non-Newtonian nanofluid of the Oldroyd type is used to model the momentum equation. The linear theory based on the normal mode method, and the criteria for both stationary and oscillatory modes are derived analytically. A weak nonlinear analysis based on the minimal representation of truncated Fourier series method containing only two terms is used to compute the concentration and thermal Nusselt numbers. The results obtained during the analysis are presented graphically.
In computerised tomography, an image must be recovered from its sampled projections in the form ... more In computerised tomography, an image must be recovered from its sampled projections in the form of Radon transform. In this work, we propose a method for recovering the image from convolution backprojection algorithm for discrete Radon transform. This method is easy to implement with some arithmetic operations without interpolation. The implementation of method is reported on sample images. The total error estimation in this algorithm, owing to approximation of the function is also reported.
Analysis of the market indices using different mathematical approaches has been always in limelig... more Analysis of the market indices using different mathematical approaches has been always in limelight in the field of mathematical finance. In this paper our aim has been to analyse discrete financial data of different market indices using best of both the worlds – time domain and frequency domain. In the process, we also try to extract and visualize the noise it contains. Through mathematical operations in frequency domain like FFT, filter design, IDFT we prepare the data to be modeled and fitted into a recursive equation.
International journal of applied mathematics and statistics, 2013
In the present paper a reconstruction algorithm is proposed for Discrete Radon Transform and the ... more In the present paper a reconstruction algorithm is proposed for Discrete Radon Transform and the reconstruction results are compared with other reconstruction methods.
International Journal of Wavelets, Multiresolution and Information Processing
Applying machine learning in life sciences, especially diagnostics, has become a key area of focu... more Applying machine learning in life sciences, especially diagnostics, has become a key area of focus for researchers. Combining machine learning with traditional algorithms provides a unique opportunity of providing better solutions for the patients. In this paper, we present study results of applying the Ridgelet Transform method on retina images to enhance the blood vessels, then using machine learning algorithms to identify cases of Diabetic Retinopathy (DR). The Ridgelet transform provides better results for line singularity of image function and, thus, helps to reduce artefacts along the edges of the image. The Ridgelet Transform method, when compared with earlier known methods of image enhancement, such as Wavelet Transform and Contourlet Transform, provided satisfactory results. The transformed image using the Ridgelet Transform method with pre-processing quantifies the amount of information in the dataset. It efficiently enhances the generation of features vectors in the convo...
The stability of a non-Newtonian nanofluid saturated horizontal rotating porous layer subjected t... more The stability of a non-Newtonian nanofluid saturated horizontal rotating porous layer subjected to thermal conductivity and viscosity variation is investigated using linear and nonlinear stability analyses. The model used for the non-Newtonian nanofluid includes the effects of Brownian motion and thermophoresis. The Darcy law for the non-Newtonian nanofluid of the Oldroyd type is used to model the momentum equation. The linear theory based on the normal mode method, and the criteria for both stationary and oscillatory modes are derived analytically. A weak nonlinear analysis based on the minimal representation of truncated Fourier series method containing only two terms is used to compute the concentration and thermal Nusselt numbers. The results obtained during the analysis are presented graphically.
In computerised tomography, an image must be recovered from its sampled projections in the form ... more In computerised tomography, an image must be recovered from its sampled projections in the form of Radon transform. In this work, we propose a method for recovering the image from convolution backprojection algorithm for discrete Radon transform. This method is easy to implement with some arithmetic operations without interpolation. The implementation of method is reported on sample images. The total error estimation in this algorithm, owing to approximation of the function is also reported.
Analysis of the market indices using different mathematical approaches has been always in limelig... more Analysis of the market indices using different mathematical approaches has been always in limelight in the field of mathematical finance. In this paper our aim has been to analyse discrete financial data of different market indices using best of both the worlds – time domain and frequency domain. In the process, we also try to extract and visualize the noise it contains. Through mathematical operations in frequency domain like FFT, filter design, IDFT we prepare the data to be modeled and fitted into a recursive equation.
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