Fractal Analysis of Breast Masses in Mammograms

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Author :
Publisher : Morgan & Claypool Publishers
ISBN 13 : 162705068X
Total Pages : 121 pages
Book Rating : 4.6/5 (27 download)

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Book Synopsis Fractal Analysis of Breast Masses in Mammograms by : Thanh M. Cabral

Download or read book Fractal Analysis of Breast Masses in Mammograms written by Thanh M. Cabral and published by Morgan & Claypool Publishers. This book was released on 2012 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: Breast masses present shape and gray-scale characteristics in mammograms that vary between benign masses and malignant tumors. This book demonstrates the use of fractal analysis to classify breast masses as benign masses or malignant tumors based on the irregularity exhibited in their contours and the gray-scale variability exhibited in their mammographic images.

Fractal Analysis of Breast Masses in Mammograms

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Author :
Publisher : Springer Nature
ISBN 13 : 3031016548
Total Pages : 104 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Fractal Analysis of Breast Masses in Mammograms by : Thanh Cabral

Download or read book Fractal Analysis of Breast Masses in Mammograms written by Thanh Cabral and published by Springer Nature. This book was released on 2022-06-01 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal analysis is useful in digital image processing for the characterization of shape roughness and gray-scale texture or complexity. Breast masses present shape and gray-scale characteristics in mammograms that vary between benign masses and malignant tumors. This book demonstrates the use of fractal analysis to classify breast masses as benign masses or malignant tumors based on the irregularity exhibited in their contours and the gray-scale variability exhibited in their mammographic images. A few different approaches are described to estimate the fractal dimension (FD) of the contour of a mass, including the ruler method, box-counting method, and the power spectral analysis (PSA) method. Procedures are also described for the estimation of the FD of the gray-scale image of a mass using the blanket method and the PSA method. To facilitate comparative analysis of FD as a feature for pattern classification of breast masses, several other shape features and texture measures are described in the book. The shape features described include compactness, spiculation index, fractional concavity, and Fourier factor. The texture measures described are statistical measures derived from the gray-level cooccurrence matrix of the given image. Texture measures reveal properties about the spatial distribution of the gray levels in the given image; therefore, the performance of texture measures may be dependent on the resolution of the image. For this reason, an analysis of the effect of spatial resolution or pixel size on texture measures in the classification of breast masses is presented in the book. The results demonstrated in the book indicate that fractal analysis is more suitable for characterization of the shape than the gray-level variations of breast masses, with area under the receiver operating characteristics of up to 0.93 with a dataset of 111 mammographic images of masses. The methods and results presented in the book are useful for computer-aided diagnosis of breast cancer. Table of Contents: Computer-Aided Diagnosis of Breast Cancer / Detection and Analysis of\newline Breast Masses / Datasets of Images of Breast Masses / Methods for Fractal Analysis / Pattern Classification / Results of Classification of Breast Masses / Concluding Remarks

Modeling and Analysis of Shape with Applications in Computer-Aided Diagnosis of Breast Cancer

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Author :
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1608450325
Total Pages : 96 pages
Book Rating : 4.6/5 (84 download)

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Book Synopsis Modeling and Analysis of Shape with Applications in Computer-Aided Diagnosis of Breast Cancer by : Denise Guliato

Download or read book Modeling and Analysis of Shape with Applications in Computer-Aided Diagnosis of Breast Cancer written by Denise Guliato and published by Morgan & Claypool Publishers. This book was released on 2011 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: Malignant tumors due to breast cancer and masses due to benign disease appear in mammograms with different shape characteristics: the former usually have rough, spiculated, or microlobulated contours, whereas the latter commonly have smooth, round, oval, or macrolobulated contours. Features that characterize shape roughness and complexity can assist in distinguishing between malignant tumors and benign masses. In spite of the established importance of shape factors in the analysis of breast tumors and masses, difficulties exist in obtaining accurate and artifact-free boundaries of the related regions from mammograms. Whereas manually drawn contours could contain artifacts related to hand tremor and are subject to intra-observer and inter-observer variations, automatically detected contours could contain noise and inaccuracies due to limitations or errors in the procedures for the detection and segmentation of the related regions. Modeling procedures are desired to eliminate the artifacts in a given contour, while preserving the important and significant details present in the contour. This book presents polygonal modeling methods that reduce the influence of noise and artifacts while preserving the diagnostically relevant features, in particular the spicules and lobulations in the given contours. In order to facilitate the derivation of features that capture the characteristics of shape roughness of contours of breast masses, methods to derive a signature based on the turning angle function obtained from the polygonal model are described. Methods are also described to derive an index of spiculation, an index characterizing the presence of convex regions, an index characterizing the presence of concave regions, an index of convexity, and a measure of fractal dimension from the turning angle function. Results of testing the methods with a set of 111 contours of 65 benign masses and 46 malignant tumors are presented and discussed. It is shown that shape modeling and analysis can lead to classification accuracy in discriminating between benign masses and malignant tumors, in terms of the area under the receiver operating characteristic curve, of up to 0.94. The methods have applications in modeling and analysis of the shape of various types of regions or objects in images, computer vision, computer graphics, and analysis of biomedical images, with particular significance in computer-aided diagnosis of breast cancer. Table of Contents: Analysis of Shape / Polygonal Modeling of Contours / Shape Factors for Pattern Classification / Classification of Breast Masses

Computer-aided Detection of Architectural Distortion in Prior Mammograms of Interval Cancer

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Author :
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1627050833
Total Pages : 195 pages
Book Rating : 4.6/5 (27 download)

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Book Synopsis Computer-aided Detection of Architectural Distortion in Prior Mammograms of Interval Cancer by : Shantanu Banik

Download or read book Computer-aided Detection of Architectural Distortion in Prior Mammograms of Interval Cancer written by Shantanu Banik and published by Morgan & Claypool Publishers. This book was released on 2013-01-01 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Architectural distortion is an important and early sign of breast cancer, but because of its subtlety, it is a common cause of false-negative findings on screening mammograms. Screening mammograms obtained prior to the detection of cancer could contain subtle signs of early stages of breast cancer, in particular, architectural distortion. This book presents image processing and pattern recognition techniques to detect architectural distortion in prior mammograms of interval-cancer cases. The methods are based upon Gabor filters, phase portrait analysis, procedures for the analysis of the angular spread of power, fractal analysis, Laws' texture energy measures derived from geometrically transformed regions of interest (ROIs), and Haralick's texture features. With Gabor filters and phase-portrait analysis, 4,224 ROIs were automatically obtained from 106 prior mammograms of 56 interval-cancer cases, including 301 true-positive ROIs related to architectural distortion, and from 52 mammograms of 13 normal cases. For each ROI, the fractal dimension, the entropy of the angular spread of power, 10 Laws' texture energy measures, and Haralick's 14 texture features were computed. The areas under the receiver operating characteristic (ROC) curves obtained using the features selected by stepwise logistic regression and the leave-one-image-out method are 0.77 with the Bayesian classifier, 0.76 with Fisher linear discriminant analysis, and 0.79 with a neural network classifier. Free-response ROC analysis indicated sensitivities of 0.80 and 0.90 at 5.7 and 8.8 false positives (FPs) per image, respectively, with the Bayesian classifier and the leave-one-image-out method. The present study has demonstrated the ability to detect early signs of breast cancer 15 months ahead of the time of clinical diagnosis, on the average, for interval-cancer cases, with a sensitivity of 0.8 at 5.7 FP/image. The presented computer-aided detection techniques, dedicated to accurate detection and localization of architectural distortion, could lead to efficient detection of early and subtle signs of breast cancer at pre-mass-formation stages. Table of Contents: Introduction / Detection of Early Signs of Breast Cancer / Detection and Analysis of Oriented Patterns / Detection of Potential Sites of Architectural Distortion / Experimental Set Up and Datasets / Feature Selection and Pattern Classification / Analysis of Oriented Patterns Related to Architectural Distortion / Detection of Architectural Distortion in Prior Mammograms / Concluding Remarks

Artificial Intelligence and Evolutionary Algorithms in Engineering Systems

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Publisher : Springer
ISBN 13 : 8132221354
Total Pages : 846 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Artificial Intelligence and Evolutionary Algorithms in Engineering Systems by : L Padma Suresh

Download or read book Artificial Intelligence and Evolutionary Algorithms in Engineering Systems written by L Padma Suresh and published by Springer. This book was released on 2014-11-25 with total page 846 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a collection of high-quality peer-reviewed research papers presented in Proceedings of International Conference on Artificial Intelligence and Evolutionary Algorithms in Engineering Systems (ICAEES 2014) held at Noorul Islam Centre for Higher Education, Kumaracoil, India. These research papers provide the latest developments in the broad area of use of artificial intelligence and evolutionary algorithms in engineering systems. The book discusses wide variety of industrial, engineering and scientific applications of the emerging techniques. It presents invited papers from the inventors/originators of new applications and advanced technologies.

Computerized Analysis of Mammographic Images for Detection and Characterization of Breast Cancer

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Publisher : Springer Nature
ISBN 13 : 3031016645
Total Pages : 166 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Computerized Analysis of Mammographic Images for Detection and Characterization of Breast Cancer by : Arianna Mencattini

Download or read book Computerized Analysis of Mammographic Images for Detection and Characterization of Breast Cancer written by Arianna Mencattini and published by Springer Nature. This book was released on 2022-05-31 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: The identification and interpretation of the signs of breast cancer in mammographic images from screening programs can be very difficult due to the subtle and diversified appearance of breast disease. This book presents new image processing and pattern recognition techniques for computer-aided detection and diagnosis of breast cancer in its various forms. The main goals are: (1) the identification of bilateral asymmetry as an early sign of breast disease which is not detectable by other existing approaches; and (2) the detection and classification of masses and regions of architectural distortion, as benign lesions or malignant tumors, in a unified framework that does not require accurate extraction of the contours of the lesions. The innovative aspects of the work include the design and validation of landmarking algorithms, automatic Tabár masking procedures, and various feature descriptors for quantification of similarity and for contour independent classification of mammographic lesions. Characterization of breast tissue patterns is achieved by means of multidirectional Gabor filters. For the classification tasks, pattern recognition strategies, including Fisher linear discriminant analysis, Bayesian classifiers, support vector machines, and neural networks are applied using automatic selection of features and cross-validation techniques. Computer-aided detection of bilateral asymmetry resulted in accuracy up to 0.94, with sensitivity and specificity of 1 and 0.88, respectively. Computer-aided diagnosis of automatically detected lesions provided sensitivity of detection of malignant tumors in the range of [0.70, 0.81] at a range of falsely detected tumors of [0.82, 3.47] per image. The techniques presented in this work are effective in detecting and characterizing various mammographic signs of breast disease.

Computerised Texture and Shape Analysis for Classification of Breast Tumours in Digital Mammograms

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (111 download)

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Book Synopsis Computerised Texture and Shape Analysis for Classification of Breast Tumours in Digital Mammograms by : Qi Guo

Download or read book Computerised Texture and Shape Analysis for Classification of Breast Tumours in Digital Mammograms written by Qi Guo and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer-aided diagnosis for detection and classification of breast abnormalities on digital mammograms is an active area of research. In recent years, there have been many research developments in all aspects of the mamography. However, it still faces many challenges. The current detection accuracy of lesions such as mass and architectural distortion is considerably low. This research is focused on computerised texture analysis of mass and architectural distortion, and shape analysis of mass in digital mamograms. In texture analysis, we investigate fractal-based methods in texture charectarisation of mammographic masses and architectural distorition. The individual ability of the different fractal-based features in the task of discriminating between abnormal lesion and normal breast parenchyma tissue are evaluated and compared using statistical analysus and receiver operating charectaristics analysis. The statistical analysis shows significant differences in the fractal-based feature between abnormalities and normal breast parenchyma. Results indicate that fractal-based methods are useful in texture feature extraction of mamographic lesions.

Biomedical Signals, Imaging, and Informatics

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Publisher : CRC Press
ISBN 13 : 1439825270
Total Pages : 1472 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Biomedical Signals, Imaging, and Informatics by : Joseph D. Bronzino

Download or read book Biomedical Signals, Imaging, and Informatics written by Joseph D. Bronzino and published by CRC Press. This book was released on 2014-12-16 with total page 1472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Known as the bible of biomedical engineering, The Biomedical Engineering Handbook, Fourth Edition, sets the standard against which all other references of this nature are measured. As such, it has served as a major resource for both skilled professionals and novices to biomedical engineering. Biomedical Signals, Imaging, and Informatics, the third volume of the handbook, presents material from respected scientists with diverse backgrounds in biosignal processing, medical imaging, infrared imaging, and medical informatics. More than three dozen specific topics are examined, including biomedical signal acquisition, thermographs, infrared cameras, mammography, computed tomography, positron-emission tomography, magnetic resonance imaging, hospital information systems, and computer-based patient records. The material is presented in a systematic manner and has been updated to reflect the latest applications and research findings.

Medical Infrared Imaging

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Publisher : CRC Press
ISBN 13 : 1439872503
Total Pages : 621 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Medical Infrared Imaging by : Mary Diakides

Download or read book Medical Infrared Imaging written by Mary Diakides and published by CRC Press. This book was released on 2012-12-12 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: The evolution of technological advances in infrared sensor technology, image processing, "smart" algorithms, knowledge-based databases, and their overall system integration has resulted in new methods of research and use in medical infrared imaging. The development of infrared cameras with focal plane arrays no longer requiring cooling, added a new

Fractals

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Publisher : CRC Press
ISBN 13 : 1351678388
Total Pages : 134 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Fractals by : Dinesh Kumar

Download or read book Fractals written by Dinesh Kumar and published by CRC Press. This book was released on 2017-02-03 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an insight into the advantages and limitations of the use of fractals in biomedical data. It begins with a brief introduction to the concept of fractals and other associated measures and describes applications for biomedical signals and images. Properties of biological data in relations to fractals and entropy, and the association with health and ageing are also covered. The book provides a detailed description of new techniques on physiological signals and images based on the fractal and chaos theory. The aim of this book is to serve as a comprehensive guide for researchers and readers interested in biomedical signal and image processing and feature extraction for disease risk analyses and rehabilitation applications. While it provides the mathematical rigor for those readers interested in such details, it also describes the topic intuitively such that it is suitable for audience who are interested in applying the methods to healthcare and clinical applications. The book is the outcome of years of research by the authors and is comprehensive and includes other reported outcomes.

Biomedical Signal Analysis

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Publisher : John Wiley & Sons
ISBN 13 : 1119825857
Total Pages : 724 pages
Book Rating : 4.1/5 (198 download)

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Book Synopsis Biomedical Signal Analysis by : Rangaraj M. Rangayyan

Download or read book Biomedical Signal Analysis written by Rangaraj M. Rangayyan and published by John Wiley & Sons. This book was released on 2024-03-12 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biomedical Signal Analysis Comprehensive resource covering recent developments, applications of current interest, and advanced techniques for biomedical signal analysis Biomedical Signal Analysis provides extensive insight into digital signal processing techniques for filtering, identification, characterization, classification, and analysis of biomedical signals with the aim of computer-aided diagnosis, taking a unique approach by presenting case studies encountered in the authors’ research work. Each chapter begins with the statement of a biomedical signal problem, followed by a selection of real-life case studies and illustrations with the associated signals. Signal processing, modeling, or analysis techniques are then presented, starting with relatively simple “textbook” methods, followed by more sophisticated research-informed approaches. Each chapter concludes with solutions to practical applications. Illustrations of real-life biomedical signals and their derivatives are included throughout. The third edition expands on essential background material and advanced topics without altering the underlying pedagogical approach and philosophy of the successful first and second editions. The book is enhanced by a large number of study questions and laboratory exercises as well as an online repository with solutions to problems and data files for laboratory work and projects. Biomedical Signal Analysis provides theoretical and practical information on: The origin and characteristics of several biomedical signals Analysis of concurrent, coupled, and correlated processes, with applications in monitoring of sleep apnea Filtering for removal of artifacts, random noise, structured noise, and physiological interference in signals generated by stationary, nonstationary, and cyclostationary processes Detection and characterization of events, covering methods for QRS detection, identification of heart sounds, and detection of the dicrotic notch Analysis of waveshape and waveform complexity Interpretation and analysis of biomedical signals in the frequency domain Mathematical, electrical, mechanical, and physiological modeling of biomedical signals and systems Sophisticated analysis of nonstationary, multicomponent, and multisource signals using wavelets, time-frequency representations, signal decomposition, and dictionary-learning methods Pattern classification and computer-aided diagnosis Biomedical Signal Analysis is an ideal learning resource for senior undergraduate and graduate engineering students. Introductory sections on signals, systems, and transforms make this book accessible to students in disciplines other than electrical engineering.

Fractal Physiology

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Publisher : Springer
ISBN 13 : 1461475724
Total Pages : 371 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Fractal Physiology by : James B Bassingthwaighte

Download or read book Fractal Physiology written by James B Bassingthwaighte and published by Springer. This book was released on 2013-05-27 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: I know that most men, including those at ease with the problems of the greatest complexity, can seldom accept even the simplest and most obvious truth if it be such as would oblige them to admit the falsity of conclusions which they have delighted in explaining to colleagues, which they have proudly taught to others, and which they have woven, thread by thread, into the fabric of their lives. Joseph Ford quoting Tolstoy (Gleick, 1987) We are used to thinking that natural objects have a certain form and that this form is determined by a characteristic scale. If we magnify the object beyond this scale, no new features are revealed. To correctly measure the properties of the object, such as length, area, or volume, we measure it at a resolution finer than the characteristic scale of the object. We expect that the value we measure has a unique value for the object. This simple idea is the basis of the calculus, Euclidean geometry, and the theory of measurement. However, Mandelbrot (1977, 1983) brought to the world's attention that many natural objects simply do not have this preconceived form. Many of the structures in space and processes in time of living things have a very different form. Living things have structures in space and fluctuations in time that cannot be characterized by one spatial or temporal scale. They extend over many spatial or temporal scales.

Advanced Computing

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Publisher : Springer Nature
ISBN 13 : 9811604010
Total Pages : 507 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Advanced Computing by : Deepak Garg

Download or read book Advanced Computing written by Deepak Garg and published by Springer Nature. This book was released on 2021-02-10 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume set (CCIS 1367-1368) constitutes reviewed and selected papers from the 10th International Advanced Computing Conference, IACC 2020, held in December 2020. The 65 full papers and 2 short papers presented in two volumes were thorougly reviewed and selected from 286 submissions. The papers are organized in the following topical sections: Application of Artificial Intelligence and Machine Learning in Healthcare; Using Natural Language Processing for Solving Text and Language related Applications; Using Different Neural Network Architectures for Interesting applications; ​Using AI for Plant and Animal related Applications.- Applications of Blockchain and IoT.- Use of Data Science for Building Intelligence Applications; Innovations in Advanced Network Systems; Advanced Algorithms for Miscellaneous Domains; New Approaches in Software Engineering.

Research Anthology on Improving Medical Imaging Techniques for Analysis and Intervention

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Author :
Publisher : IGI Global
ISBN 13 : 1668475456
Total Pages : 1671 pages
Book Rating : 4.6/5 (684 download)

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Book Synopsis Research Anthology on Improving Medical Imaging Techniques for Analysis and Intervention by : Management Association, Information Resources

Download or read book Research Anthology on Improving Medical Imaging Techniques for Analysis and Intervention written by Management Association, Information Resources and published by IGI Global. This book was released on 2022-09-09 with total page 1671 pages. Available in PDF, EPUB and Kindle. Book excerpt: Medical imaging provides medical professionals the unique ability to investigate and diagnose injuries and illnesses without being intrusive. With the surge of technological advancement in recent years, the practice of medical imaging has only been improved through these technologies and procedures. It is essential to examine these innovations in medical imaging to implement and improve the practice around the world. The Research Anthology on Improving Medical Imaging Techniques for Analysis and Intervention investigates and presents the recent innovations, procedures, and technologies implemented in medical imaging. Covering topics such as automatic detection, simulation in medical education, and neural networks, this major reference work is an excellent resource for radiologists, medical professionals, hospital administrators, medical educators and students, librarians, researchers, and academicians.

Fractal-based Texture Segmentation of Digital X-ray Mammograms [microform]

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Publisher : National Library of Canada = Bibliothèque nationale du Canada
ISBN 13 : 9780315781757
Total Pages : 244 pages
Book Rating : 4.7/5 (817 download)

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Book Synopsis Fractal-based Texture Segmentation of Digital X-ray Mammograms [microform] by : Pamela Karen Gurski

Download or read book Fractal-based Texture Segmentation of Digital X-ray Mammograms [microform] written by Pamela Karen Gurski and published by National Library of Canada = Bibliothèque nationale du Canada. This book was released on 1991 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Machine Learning in Computer-Aided Diagnosis: Medical Imaging Intelligence and Analysis

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Author :
Publisher : IGI Global
ISBN 13 : 1466600608
Total Pages : 525 pages
Book Rating : 4.4/5 (666 download)

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Book Synopsis Machine Learning in Computer-Aided Diagnosis: Medical Imaging Intelligence and Analysis by : Suzuki, Kenji

Download or read book Machine Learning in Computer-Aided Diagnosis: Medical Imaging Intelligence and Analysis written by Suzuki, Kenji and published by IGI Global. This book was released on 2012-01-31 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book provides a comprehensive overview of machine learning research and technology in medical decision-making based on medical images"--Provided by publisher.

Modeling and Analysis of Shape with Applications in Computer-aided Diagnosis of Breast Cancer

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Author :
Publisher : Springer Nature
ISBN 13 : 303179429X
Total Pages : 75 pages
Book Rating : 4.0/5 (317 download)

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Book Synopsis Modeling and Analysis of Shape with Applications in Computer-aided Diagnosis of Breast Cancer by : Denise Guliato

Download or read book Modeling and Analysis of Shape with Applications in Computer-aided Diagnosis of Breast Cancer written by Denise Guliato and published by Springer Nature. This book was released on 2022-05-31 with total page 75 pages. Available in PDF, EPUB and Kindle. Book excerpt: Malignant tumors due to breast cancer and masses due to benign disease appear in mammograms with different shape characteristics: the former usually have rough, spiculated, or microlobulated contours, whereas the latter commonly have smooth, round, oval, or macrolobulated contours. Features that characterize shape roughness and complexity can assist in distinguishing between malignant tumors and benign masses. In spite of the established importance of shape factors in the analysis of breast tumors and masses, difficulties exist in obtaining accurate and artifact-free boundaries of the related regions from mammograms. Whereas manually drawn contours could contain artifacts related to hand tremor and are subject to intra-observer and inter-observer variations, automatically detected contours could contain noise and inaccuracies due to limitations or errors in the procedures for the detection and segmentation of the related regions. Modeling procedures are desired to eliminate the artifacts in a given contour, while preserving the important and significant details present in the contour. This book presents polygonal modeling methods that reduce the influence of noise and artifacts while preserving the diagnostically relevant features, in particular the spicules and lobulations in the given contours. In order to facilitate the derivation of features that capture the characteristics of shape roughness of contours of breast masses, methods to derive a signature based on the turning angle function obtained from the polygonal model are described. Methods are also described to derive an index of spiculation, an index characterizing the presence of convex regions, an index characterizing the presence of concave regions, an index of convexity, and a measure of fractal dimension from the turning angle function. Results of testing the methods with a set of 111 contours of 65 benign masses and 46 malignant tumors are presented and discussed. It is shown that shape modeling and analysis can lead to classification accuracy in discriminating between benign masses and malignant tumors, in terms of the area under the receiver operating characteristic curve, of up to 0.94. The methods have applications in modeling and analysis of the shape of various types of regions or objects in images, computer vision, computer graphics, and analysis of biomedical images, with particular significance in computer-aided diagnosis of breast cancer. Table of Contents: Analysis of Shape / Polygonal Modeling of Contours / Shape Factors for Pattern Classification / Classification of Breast Masses