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This work proposes a novel technique for the numerical calculus of the fractal dimension of fractal objects which can be represented as a closed contour. The proposed method maps the fractal contour onto a complex signal and calculates its…

Data Analysis, Statistics and Probability · Physics 2012-01-17 João B. Florindo , Odemir M. Bruno

A macroscopic characterization of fractals showing up a structural transition from dense to multibranched growth is made using optical diffraction theory. Such fractals are generated via the numerical solution of the 2D Poisson and…

Condensed Matter · Physics 2009-10-22 F. Perez-Rodriguez , Wei Wang , E. Canessa

Breast cancer remains a critical global health challenge, necessitating early and accurate detection for effective treatment. This paper introduces a methodology that combines automated image augmentation selection (RandAugment) with search…

Image and Video Processing · Electrical Eng. & Systems 2023-11-21 Leon Hamnett , Mary Adewunmi , Modinat Abayomi , Kayode Raheem , Fahad Ahmed

Multiple indications of disease progression found in a cancer patient by loco-regional relapse, distant metastasis and death. Early identification of these indications is necessary to change the treatment strategy. Biomarkers play an…

Applications · Statistics 2021-07-23 Atanu Bhattacharjee , Gajendra K. Vishwakarma , Souvik Banerjee

This work is motivated by multimodality breast cancer imaging data, which is quite challenging in that the signals of discrete tumor-associated microvesicles (TMVs) are randomly distributed with heterogeneous patterns. This imposes a…

Machine Learning · Statistics 2019-03-22 Xiwei Tang , Xuan Bi , Annie Qu

Breast cancer is one of the leading causes of death among women worldwide. We introduce Mammo-FM, the first foundation model specifically for mammography, pretrained on the largest and most diverse dataset to date - 140,677 patients…

Morphological features of small vessels provide invaluable information regarding underlying tissue, especially in cancerous tumors. This paper introduces methods for obtaining quantitative morphological features from microvasculature images…

Medical Physics · Physics 2018-12-11 Siavash Ghavami , Mahdi Bayat , Mostafa Fatemi , Azra Alizad

Computer aided diagnosis (CAD) of Breast Cancer (BRCA) images has been an active area of research in recent years. The main goals of this research is to develop reliable automatic methods for detecting and diagnosing different types of BRCA…

Image and Video Processing · Electrical Eng. & Systems 2020-03-20 Marco A. V. M. Grinet , Nuno M. Garcia , Ana I. R. Gouveia , Jose A. F. Moutinho , Abel J. P. Gomes

Computational modeling of Multiresolution- Fractional Brownian motion (fBm) has been effective in stochastic multiscale fractal texture feature extraction and machine learning of abnormal brain tissue segmentation. Further, deep…

Image and Video Processing · Electrical Eng. & Systems 2023-06-09 A. Temtam , L. Pei , K. Iftekharuddin

Breast X-ray CT imaging is being considered in screening as an extension to mammography. As a large fraction of the population will be exposed to radiation, low-dose imaging is essential. Iterative image reconstruction based on solving an…

Medical Physics · Physics 2011-11-14 Jakob H. Jørgensen , Emil Y. Sidky , Xiaochuan Pan

A stochastic model relating the parameters of astrophysical structures to the parameters of their granular components is applied to the formation of hierarchical, large-scale structures from galaxies assumed as point-like objects. If the…

Cosmology and Nongalactic Astrophysics · Physics 2009-08-20 S. Capozziello , S. Funkhouser

Non-mass enhancing lesions (NME) constitute a diagnostic challenge in dynamic contrast enhanced magnetic resonance imaging (DCE-MRI) of the breast. Computer Aided Diagnosis (CAD) systems provide physicians with advanced tools for analysis,…

Image and Video Processing · Electrical Eng. & Systems 2018-09-27 Ignacio Alvarez Illan , Javier Ramirez , Juan M. Gorriz , Maria Adele Marino , Daly Avendaño , Thomas Helbich , Pascal Baltzer , Katja Pinker , Anke Meyer-Baese

Patients with metastatic breast cancer (mBC) undergo repeated computed tomography (CT) imaging during treatment to monitor disease progression. Accurate longitudinal tracking of individual lesions across scans from multiple radiologists is…

We have performed a detailed analysis of the fast multipole method (FMM) in the adaptive case, in which the depth of the FMM tree is non-uniform. Previous works in this area have focused mostly on special types of adaptive distributions,…

Numerical Analysis · Mathematics 2015-08-12 Hadi Pouransari , Eric Darve

Breast cancer is one of the most threatening diseases in women's life; thus, the early and accurate diagnosis plays a key role in reducing the risk of death in a patient's life. Mammography stands as the reference technique for breast…

Machine Learning · Computer Science 2023-05-05 Juan Zuluaga-Gomez

Breast cancer is the most common invasive cancer in women. Besides the primary B-mode ultrasound screening, sonographers have explored the inclusion of Doppler, strain and shear-wave elasticity imaging to advance the diagnosis. However,…

Image and Video Processing · Electrical Eng. & Systems 2020-08-11 Wang Jian , Miao Juzheng , Yang Xin , Li Rui , Zhou Guangquan , Huang Yuhao , Lin Zehui , Xue Wufeng , Jia Xiaohong , Zhou Jianqiao , Huang Ruobing , Ni Dong

Traditional breast cancer imaging methods using microwave Nearfield Radar Imaging (NRI) seek to recover the complex permittivity of the tissues at each voxel in the imaging region. This approach is suboptimal, in that it does not directly…

Computer Vision and Pattern Recognition · Computer Science 2016-11-01 Richard Obermeier , Jose Angel Martinez-Lorenzo

A new paradigm is beginning to emerge in Radiology with the advent of increased computational capabilities and algorithms. This has led to the ability of real time learning by computer systems of different lesion types to help the…

We describe new families of random fractals, referred to as "V-variable", which are intermediate between the notions of deterministic and of standard random fractals. The parameter V describes the degree of "variability" : at each…

Probability · Mathematics 2007-05-23 Michael Barnsley , John E. Hutchinson , Örjan Stenflo

The appearance of microcalcifications in mammograms is one of the early signs of breast cancer. So, early detection of microcalcification clusters (MCCs) in mammograms can be helpful for cancer diagnosis and better treatment of breast…

Computer Vision and Pattern Recognition · Computer Science 2012-01-31 Hajar Moradmand , Saeed Setayeshi , Hossein Khazaei Targhi