ArticleQuantitative imaging in medicine and surgery2022
A medical image enhancement based on generalized class of fractional partial differential equations.
Article in Quantitative imaging in medicine and surgery, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 12 papers.
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12 citing papers in PubMed.
- Brain tumor classification using fractional Laplacian image enhancement and vision transformer.Scientific reports · 2026Article
- Miller-Ross-functions coefficients and kernel-based CT-scan enhancement technique.Scientific reports · 2026Article
- A hybrid deep learning and cellular automata framework with fractional derivatives for skin type and skin disease classification.Frontiers in digital health · 2026Article
- Estimation of Hankel inequalities of symmetric starlike functions in crescent-shaped domains and their application in image processing.Scientific reports · 2025Article
- A study of traveling wave solutions and modulation instability in the (3+1)-dimensional Sakovich equation employing advanced analytical techniques.Scientific reports · 2025Article
- Chamber Attention Network (CAN): Towards interpretable diagnosis of pulmonary artery hypertension using echocardiography.Journal of advanced research · 2024Article
- Effective processing pipeline PACE 2.0 for enhancing chest x-ray contrast and diagnostic interpretability.Scientific reports · 2023Article
- Multi-class deep learning architecture for classifying lung diseases from chest X-Ray and CT images.Scientific reports · 2023Article
- Enhancement of various images using coefficients obtained from a class of Sakaguchi type functions.Scientific reports · 2023Article
- Enhancement Technique Based on the Breast Density Level for Mammogram for Computer-Aided Diagnosis.Bioengineering (Basel, Switzerland) · 2023Article
- Mathematical model based on fractional trace operator for COVID-19 image enhancement.Journal of King Saud University. Science · 2022Article
- Skin Cancer Diagnosis Based on Neutrosophic Features with a Deep Neural Network.Sensors (Basel, Switzerland) · 2022Article
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5 authors.
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Abstract
backgroundThe interest in using fractional calculus operators has grown in the field of image processing. Image enhancement is one of image processing tools that aims to improve the details of an image. The enhancement of medical images is a challenging task due to the unforeseeable variation in the quality of the captured images.
methodsIn this study, we present a mathematical model based on the class of fractional partial differential equations (FPDEs). The class is formulated by the proportional-Caputo hybrid operator (PCHO). Moreover, some properties of the geometric functions in the unit disk are applied to determine the upper bound solutions for this class of FPDEs. The upper bound solution is indicated in the relations of the general hypergeometric functions. The main advantage of FPDE lies in its capability to enhance the low contrast intensities through the proposed fractional enhanced operator.
resultsThe proposed image enhancement algorithm is tested against brain and lungs computed tomography (CT) scans datasets of different qualities to show that it is robust and can withstand dramatic variations in quality. The quantitative results of Brisque, Piqe, SSEQ, and SAMGVG were 40.93%, 41.13%, 66.09%, and 31.04%, respectively for brain magnetic resonance imaging (MRI) images and 39.07, 41.33, 30.97, and 159.24 respectively for the CT lungs images. The comparative results show that the proposed image enhancement model achieves the best image quality assessments.
conclusionsOverall, this model significantly improves the details of the given datasets, and could potentially help the medical staff during the diagnosis process.
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