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Scale invariance of intrinsic patterns is an important concept in geology that can be observed in numerous geological objects and phenomena. These geological objects and phenomena are described as containing statistically selfsimilar…

Geophysics · Physics 2018-02-20 Adewale Amosu , Hamdi Mahmood , Paul Ofoche , Mohamed Imsalem

Osteoporosis can be identified by looking at 2D x-ray images of the bone. The high degree of similarity between images of a healthy bone and a diseased one makes classification a challenge. A good bone texture characterization technique is…

Computer Vision and Pattern Recognition · Computer Science 2017-07-19 Rahul Paul , Saeed Alahamri , Sulav Malla , Ghulam Jilani Quadri

Accurate segmentation of long and thin tubular structures is required in a wide variety of areas such as biology, medicine, and remote sensing. The complex topology and geometry of such structures often pose significant technical…

Image and Video Processing · Electrical Eng. & Systems 2024-07-23 Jiaxing Huang , Yanfeng Zhou , Yaoru Luo , Guole Liu , Heng Guo , Ge Yang

Here we propose a new method for the classification of texture images combining fractal measures (fractal dimension, multifractal spectrum and lacunarity) with local binary patterns. More specifically we compute the box counting dimension…

Computer Vision and Pattern Recognition · Computer Science 2021-08-31 Pedro M. Silva , Joao B. Florindo

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

Most of the known methods for estimating the fractal dimension of fractal sets are based on the evaluation of a single geometric characteristic, e.g. the volume of its parallel sets. We propose a method involving the evaluation of several…

Metric Geometry · Mathematics 2015-06-22 Evgeny Spodarev , Peter Straka , Steffen Winter

Osteoporosis is a common condition that increases fracture risk, especially in older adults. Early diagnosis is vital for preventing fractures, reducing treatment costs, and preserving mobility. However, healthcare providers face challenges…

Computer Vision and Pattern Recognition · Computer Science 2025-10-21 Mehdi Hosseini Chagahi , Saeed Mohammadi Dashtaki , Niloufar Delfan , Nadia Mohammadi , Farshid Rostami Pouria , Behzad Moshiri , Md. Jalil Piran , Oliver Faust

Breast cancer exhibits intricate morphological and dynamical heterogeneity across cellular, tissue, and tumor scales, posing challenges to conventional modeling approaches that fail to capture its nonlinear, self-similar, or self-affine,…

Quantitative Methods · Quantitative Biology 2025-11-18 Abhijeet Das , Ramray Bhat , Mohit Kumar Jolly

Mass abnormality segmentation is a vital step for the medical diagnostic process and is attracting more and more the interest of many research groups. Currently, most of the works achieved in this area have used the Gray Level Co-occurrence…

Computer Vision and Pattern Recognition · Computer Science 2014-12-05 Khamsa Djaroudib , Abdelmalik Taleb Ahmed , Abdelmadjid Zidani

Although geographic features, such as mountains and coastlines, are fractal, some studies have claimed that the fractal property is not universal. This claim, which is false, is mainly attributed to the strict definition of fractal…

Adaptation and Self-Organizing Systems · Physics 2014-07-08 Bin Jiang , Junjun Yin

Fractured metal fragments with rough and irregular surfaces are often found at crime scenes. Current forensic practice visually inspects the complex jagged trajectory of fractured surfaces to recognize a ``match'' using comparative…

This work proposes to obtain novel fractal descriptors from gray-level texture images by combining information from interior and boundary measures of the Minkowski dilation applied to the texture surface. At first, the image is converted…

Data Analysis, Statistics and Probability · Physics 2014-12-30 Marcos W. S. Oliveira , Dalcimar Casanova , João B. Florindo , Odemir Martinez Bruno

Digital analysis of mammographic images is a complementary tool to clinical evaluation, commonly used to identify tumors and/or microcalcifications in mammograms. Recent mammographic equipment, can automatically classify them using this…

The presence of a vertebral compression fracture is highly indicative of osteoporosis and represents the single most robust predictor for development of a second osteoporotic fracture in the spine or elsewhere. Less than one third of…

Computer Vision and Pattern Recognition · Computer Science 2017-06-07 Amir Bar , Lior Wolf , Orna Bergman Amitai , Eyal Toledano , Eldad Elnekave

Shape is one of the most important visual attributes to characterize objects, playing a important role in pattern recognition. There are various approaches to extract relevant information of a shape. An approach widely used in shape…

Computer Vision and Pattern Recognition · Computer Science 2012-01-17 André Ricardo Backes , Odemir Martinez Bruno

We explored the fractal and multifractal characteristics of breast mammogram micrographs to identify quantitative biomarkers associated with breast cancer progression. In addition to conventional fractal and multifractal analyses, we…

Medical Physics · Physics 2025-05-28 Santanu Maity , Mousa Alrubayan , Prabhakar Pradhan

Medical image compression is a widely studied field of data processing due to its prevalence in modern digital databases. This domain requires a high color depth of 12 bits per pixel component for accurate analysis by physicians, primarily…

Image and Video Processing · Electrical Eng. & Systems 2024-11-11 Taaha Khan

The present work shows a novel fractal dimension method for shape analysis. The proposed technique extracts descriptors from the shape by applying a multiscale approach to the calculus of the fractal dimension of that shape. The fractal…

Data Analysis, Statistics and Probability · Physics 2015-06-03 André R. Backes , João B. Florindo , Odemir M. Bruno

The light scattering experiment establishes a relationship between refractive index fluctuations and fractal dimension in weakly scattering tissue-like media. Based on the box-counting approach, an analytical model is developed and shows…

The classification of medical images is a pivotal aspect of disease diagnosis, often enhanced by deep learning techniques. However, traditional approaches typically focus on unimodal medical image data, neglecting the integration of diverse…

Image and Video Processing · Electrical Eng. & Systems 2025-11-11 Jun-En Ding , Chien-Chin Hsu , Chi-Hsiang Chu , Shuqiang Wang , Feng Liu
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