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Segmentations are often necessary for the analysis of image data. They are used to identify different objects, for example cell nuclei, mitochondria, or complete cells in microscopic images. There might be features in the data, that cannot…

Computational Geometry · Computer Science 2016-05-31 Julia Portl , Heike Leitte

Context. A porous and/or fractal description can generally be applied where particles have undergone coagulation into aggregates. Aims. To characterise finite-sized, porous and fractal particles and to understand the possible limitations of…

Disordered Systems and Neural Networks · Physics 2015-11-09 A. P. Jones

This paper shows results of computer analysis of images in the purpose of finding differences between medical images in order of their classifications in terms of separation malign tissue from a normal and benign tissue. The diagnostics of…

Computer Vision and Pattern Recognition · Computer Science 2018-10-08 Jelena Vasiljević , Ivica Milosavljević , Vladimir Krstić , Nataša Zivić , Lazar Berbakov , Luka Lopušina , Dhinaharan Nagamalai , Milutin Cerović

Cracks on a painting is not a defect but an inimitable signature of an artwork which can be used for origin examination, aging monitoring, damage identification, and even forgery detection. This work presents the development of a new…

Computer Vision and Pattern Recognition · Computer Science 2019-12-05 Oleksii Sidorov , Jon Yngve Hardeberg

Fractal Image Compression (FIC) is a lossy image compression technique that leverages self-similarity within an image to achieve high compression ratios. However, the process of compressing the image is computationally expensive. This paper…

Image and Video Processing · Electrical Eng. & Systems 2025-12-30 Nastaran Pourshab Mohsen Bagheritabar

Fractal geometry deals mainly with irregularity and captures the complexity of a structure or phenomenon. In this article, we focus on the approximation of set-valued functions using modern machinery on the subject of fractal geometry. We…

Functional Analysis · Mathematics 2025-09-23 Parneet Kaur , Rattan Lal , Ankit Kumar , Saurabh Verma

A multifractal analysis is performed on a three-dimensional grayscale image associated with a complex system. First, a procedure for generating 3D synthetic images (2D image stacks) of a complex structure exhibiting multifractal behaviour…

Statistical Mechanics · Physics 2013-10-11 Lorenzo Milazzo

Cervical cancer presents a significant global health challenge, necessitating advanced diagnostic and prognostic approaches for effective treatment. This paper investigates the potential of employing multi-modal medical imaging at various…

Medical Physics · Physics 2024-08-27 Haotian Feng , Emi Yoshida , Ke Sheng

Fractal geometry, defined by self-similar patterns across scales, is crucial for understanding natural structures. This work addresses the fractal inverse problem, which involves extracting fractal codes from images to explain these…

Graphics · Computer Science 2025-02-25 Adarsh Djeacoumar , Felix Mujkanovic , Hans-Peter Seidel , Thomas Leimkühler

In the automatic reassembly of fragments acquired using laser scanners to reconstruct objects, a crucial step is the matching of fractured surfaces. In this paper, we propose a novel local descriptor that uses the Gaussian Mixture Model…

Computer Vision and Pattern Recognition · Computer Science 2026-04-24 Meijun Xiong , Zhenguo Shi , Xinyu Zhou , Yuhe Zhang , Shunli Zhang

This work proposes the development and study of a novel technique for the generation of fractal descriptors used in texture analysis. The novel descriptors are obtained from a multiscale transform applied to the Fourier technique of fractal…

Data Analysis, Statistics and Probability · Physics 2012-01-24 João Batista Florindo , Odemir Martinez Bruno

Tissue texture is known to exhibit a heterogeneous or non-stationary nature, therefore using a single resolution approach for optimum classification might not suffice. A clinical decision support system that exploits the subband textural…

Computer Vision and Pattern Recognition · Computer Science 2015-12-29 Omar S. Al-Kadi

A gray-level image texture descriptors based on fractal dimension estimation is proposed in this work. The proposed method estimates the fractal dimension using probability (Voss) method. The descriptors are computed applying a multiscale…

Data Analysis, Statistics and Probability · Physics 2012-05-15 J. B. Florindo , O. M. Bruno

Fractals are geometric shapes that can display complex and self-similar patterns found in nature (e.g., clouds and plants). Recent works in visual recognition have leveraged this property to create random fractal images for model…

Computer Vision and Pattern Recognition · Computer Science 2023-03-23 Cheng-Hao Tu , Hong-You Chen , David Carlyn , Wei-Lun Chao

Image-based characterization and disease understanding involve integrative analysis of morphological, spatial, and topological information across biological scales. The development of graph convolutional networks (GCNs) has created the…

Image and Video Processing · Electrical Eng. & Systems 2022-04-22 Kexin Ding , Mu Zhou , Zichen Wang , Qiao Liu , Corey W. Arnold , Shaoting Zhang , Dimitri N. Metaxas

Classification of vertebral compression fractures (VCF) having osteoporotic or neoplastic origin is fundamental to the planning of treatment. We developed a fracture classification system by acquiring quantitative morphologic and bone…

Computer Vision and Pattern Recognition · Computer Science 2016-11-15 Yinong Wang , Jianhua Yao , Joseph E. Burns , Ronald M. Summers

This work presents a new Visual Basic 6.0 application for estimating the fractal dimension of images, based on an optimized version of the box-counting algorithm. Following the attempt to separate the real information from noise, we…

Computational Physics · Physics 2012-11-20 I. V. Grossu , C. Besliu , M. V. Rusu , Al. Jipa , C. C. Bordeianu , D. Felea , E. Stan , T. Esanu

Long-term vertebral fractures severely affect the life quality of patients, causing kyphotic, lumbar deformity and even paralysis. Computed tomography (CT) is a common clinical examination to screen for this disease at early stages.…

Computer Vision and Pattern Recognition · Computer Science 2022-11-14 Xin Wei , Huaiwei Cong , Zheng Zhang , Junran Peng , Guoping Chen , Jinpeng Li

One of the most important tasks in image processing problem and machine vision is object recognition, and the success of many proposed methods relies on a suitable choice of algorithm for the segmentation of an image. This paper focuses on…

Applications · Statistics 2011-12-07 Beatriz Marron

A fractal bears a complex structure that is reflected in a scaling hierarchy, indicating that there are far more small things than large ones. This scaling hierarchy can be effectively derived using head/tail breaks - a clustering and…

Data Analysis, Statistics and Probability · Physics 2020-09-04 Bin Jiang , Ding Ma