Low Dose Brain CT, Comparative Study with Brain Post Processing Algorithm

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In this theoretical paper, we propose several useful mathematical tools for conducting research in the fields of tomography and image processing. Several mathematical models are presented including analytical formulation of the Radon transform for three elementary functions. A family of block binary images for testing ideas is explained. Representation of an image using the box function is suggested. This representation allows exact computations for the Radon transform, Fourier transform, moments, and many others. This representation can also be involved in the mathematical arrangements of the iterative reconstruction algorithms of tomography. Overall, we believe that these tools are helpful for researchers in these fields. We show accurate results in several calculations on synthetic images as well the algebraic reconstruction.

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Selected Mathematical Tools for Modeling in Tomography and Image Processing with Some Applications

Hjouj

2024

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“…Computed tomography has become widely used in scientific medical research and industry for its nondestructive and high-resolution means of detecting internal structure [11][12][13][14][15][16][17][18][19]. There is a large volume of research which exploits the use of texture for different purposes, like segmentation or classification in different modalities such as magnetic resonance imaging (MRI), ultrasound, computed tomography (CT), microscopy, and others.…”

Section: Introductionmentioning

confidence: 99%

3D Texture Segmentation using Supervised Methods

Ali Adan,

Soufiane Jouini,

Hjouj

2024

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Supervised learning methods have been widely used for image classification in various fields, including medical and industrial sectors. Some of these methods are traditional and possess certain limitations when addressing complex problems. The most common and effective approaches involve Convolutional Neural Networks (CNNs), such as U-Net. However, most studies employ CNNs in their 2D structures, which can impose limitations in classifying 3D objects. The purpose of this paper is to propose the utilization of 3D CNNs to potentially enhance the classification of 3D data, particularly X-ray micro-computed tomography images of reservoir rock samples. Our focus is on examining the performance of the 3D U-Net architecture, a supervised classification approach, in segmenting various 3D rock textures.

“…Global thyroid cancer rates are rising due to enhanced diagnostic imaging and monitoring. In 2015, 62,000 new instances of thyroid cancer were reported in both men and women, making it the fifth most prevalent cancer in women in the US [1][2][3][4][5]. Tellurium dioxide is neutron-irradiated in a nuclear reactor to yield 131 I.…”

Section: Introductionmentioning

confidence: 99%

Statistical calculation of beta radiotherapy dose using I-131: analysis and simulation method.

Ahmad,

Mohammad

2024

Radioiodine-131 (I-131) treats hyperthyroidism and differentiated thyroid carcinoma. In I-131, beta radiation (β−) is utilized for treatment and gamma radiation (γ) is used for diagnostic. This research sought to determine if a patient would be treated by establishing an equation for beta-thyroid cell interaction. The prospective study included 35 thyroid cancer patients receiving I-131 treatment. Beta and gamma readings were taken at different distances and sent to the statistical shop to find the coefficients of change on which the beta reaction depends and the equation that depends on it to find the beta range involved in healing. The strongest equation was R square (98.1%). To measure beta at 1 m, use the equation with a 99% association between variables and independent variables, and improve with ANOVA with a p-value of 0.00 0.05. The equation is: β_1m= -123.893+(0.947*δ) +(0.123*ε) -(0.002*π) -(2.11*Log Gamma). The discrepancy between true beta readings (mean = 1040) and the equation (mean = 1087, p-value = 0.411) is more than 0.05. That indicates the values are same. The equation that measures beta during iodine therapy has been achieved, which is the first step to improved thyroid cancer treatment.