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Related papers: Fractal Dimension and Retinal Pathology: A Meta-an…

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People with diabetes are at risk of developing an eye disease called diabetic retinopathy (DR). This disease occurs when high blood glucose levels cause damage to blood vessels in the retina. Computer-aided DR diagnosis is a promising tool…

Computer Vision and Pattern Recognition · Computer Science 2020-11-12 Yi Zhou , Boyang Wang , Lei Huang , Shanshan Cui , Ling Shao

There are many research available on the study of real-valued fractal interpolation function and fractal dimension of its graph. In this paper, our main focus is to study the dimensional results for vector-valued fractal interpolation…

Dynamical Systems · Mathematics 2022-07-27 Manuj Verma , Amit Priyadarshi , Saurabh Verma

The fractal dimension of a liquid column is a crucial parameter in several models describing the main features of the primary break-up occurring at the interface of a liquid phase surrounded by the gas-flow. In this work, the deformation of…

Fluid Dynamics · Physics 2009-11-11 Paolo Oresta , Arturo De Risi , Teresa Donateo , Domenico Laforgia

Fractal analysis has been widely used in computer vision, especially in texture image processing and texture analysis. The key concept of fractal-based image model is the fractal dimension, which is invariant to bi-Lipschitz transformation…

Computer Vision and Pattern Recognition · Computer Science 2017-03-20 Hongteng Xu , Junchi Yan , Nils Persson , Weiyao Lin , Hongyuan Zha

Recently the concept of self similarity in the structure of the proton at small x has been introduced. We estimate the fractal dimension of proton in analogy with classical monofractals.

High Energy Physics - Phenomenology · Physics 2007-05-23 D. K. Choudhury , Rupjyoti Gogoi

Diabetic retinopathy is an eye-related pathology creating abnormalities and causing visual impairment, proper treatment of which requires identifying irregularities. This research uses a hemorrhage detection method and compares…

Image and Video Processing · Electrical Eng. & Systems 2022-06-03 Tamoor Aziz , Chalie Charoenlarpnopparut , Srijidtra Mahapakulchai

Purpose: To demonstrate that retinal microvasculature per se is a reliable biomarker for Diabetic Retinopathy (DR) and, by extension, cardiovascular diseases. Methods: Deep Learning Convolutional Neural Networks (CNN) applied to color…

Image and Video Processing · Electrical Eng. & Systems 2021-07-29 Anusua Trivedi , Jocelyn Desbiens , Ron Gross , Sunil Gupta , Rahul Dodhia , Juan Lavista Ferres

Retinal vessel segmentation is generally grounded in image-based datasets collected with bench-top devices. The static images naturally lose the dynamic characteristics of retina fluctuation, resulting in diminished dataset richness, and…

In previous papers by A. Kameyama and by J. Kigami distances on fractals have been discussed having two different but similar properties. One property is that the maps defining the fractal are Lipschitz of prescribed constants less than 1,…

Metric Geometry · Mathematics 2017-10-18 Roberto Peirone

A \emph{fractal} is an object exhibiting complexity at arbitrarily small scales. In order to study and characterise fractals, one is often interested in quantifying how they fill up space on small scales. This gives rise to various notions…

Classical Analysis and ODEs · Mathematics 2026-03-12 Jonathan M. Fraser

In this report we present experimental results using \emph{Haussdorf-Besicovich} fractal dimension for performing morphological galaxy classification. The fractal dimension is a topological, structural and spatial property that give us…

Computer Vision and Pattern Recognition · Computer Science 2017-06-26 Jorge de la Calleja , Elsa M. de la Calleja , Hugo Jair Escalante

The science of fractography revolves around the correlation between topographic characteristics of the fracture surface and the mechanisms and external conditions leading to their creation. While being a topic of investigation for…

Image and Video Processing · Electrical Eng. & Systems 2020-05-11 Stylianos Tsopanidis , Raúl Herrero Moreno , Shmuel Osovski

In many real complex networks, the fractal and self-similarity properties have been found. The fractal dimension is a useful method to describe fractal property of complex networks. Fractal analysis is inadequate if only taking one fractal…

Physics and Society · Physics 2014-03-03 Daijun Wei , Xiaowu Chen , Cai Gao , Haixin Zhang , Bo Wei , Yong Deng

An exact analytical analysis of anomalous diffusion on a fractal mesh is presented. The fractal mesh structure is a direct product of two fractal sets which belong to a main branch of backbones and side branch of fingers. The fractal sets…

Statistical Mechanics · Physics 2017-05-10 Trifce Sandev , Alexander Iomin , Holger Kantz

The fractal dimensions of color-specific paint patterns in various Jackson Pollock paintings are calculated using a filtering process which models perceptual response to color differences ($\Lab$ color space). The advantage of the $\Lab$…

Physics and Society · Physics 2009-11-11 J. R. Mureika

This paper provides a systematic survey of retinal diseases that cause visual impairments or blindness, emphasizing the importance of early detection for effective treatment. It covers both clinical and automated approaches for detecting…

Image and Video Processing · Electrical Eng. & Systems 2023-11-27 Hina Raja , Taimur Hassan , Bilal Hassan , Muhammad Usman Akram , Hira Raja , Alaa A Abd-alrazaq , Siamak Yousefi , Naoufel Werghi

Retinal vessel segmentation is of great clinical significance for the diagnosis of many eye-related diseases, but it is still a formidable challenge due to the intricate vascular morphology. With the skillful characterization of the…

Image and Video Processing · Electrical Eng. & Systems 2024-09-09 Zihong Sun , Hong Wang , Qi Xie , Yefeng Zheng , Deyu Meng

Fractal/non-fractal morphological transitions allow for the systematic study of the physics behind fractal morphogenesis in nature. In these systems, the fractal dimension is considered a non-thermal order parameter, commonly and…

Pattern Formation and Solitons · Physics 2020-01-27 J. R. Nicolás-Carlock , J. M. Solano-Altamirano , J. L. Carrillo-Estrada

The influence of phase transformation-induced plastic deformation in Pd|H system on the electrode surface was investigated. Since the Pd surface is subject of severe plastic deformation during this process, the structure and roughness of…

Chemical Physics · Physics 2007-05-23 Ali Eftekhari

The detection of retinal vessel is of great importance in the diagnosis and treatment of many ocular diseases. Many methods have been proposed for vessel detection. However, most of the algorithms neglect the connectivity of the vessels,…

Image and Video Processing · Electrical Eng. & Systems 2019-10-29 Lei Mou , Li Chen , Jun Cheng , Zaiwang Gu , Yitian Zhao , Jiang Liu
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