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Examining Fractal Image Processing and Analysis

Examining Fractal Image Processing and Analysis
Author: Nayak, Soumya Ranjan
Publisher: IGI Global
Total Pages: 305
Release: 2019-10-18
Genre: Computers
ISBN: 1799800687

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Digital image processing is a field that is constantly improving. Gaining high-level understanding from digital images is a key requirement for computing. One aspect of study that is assisting with this advancement is fractal theory. This new science has gained momentum and popularity as it has become a key topic of research in the area of image analysis. Examining Fractal Image Processing and Analysis is an essential reference source that discusses fractal theory applications and analysis, including box-counting analysis, multi-fractal analysis, 3D fractal analysis, and chaos theory, as well as recent trends in other soft computing techniques. Featuring research on topics such as image compression, pattern matching, and artificial neural networks, this book is ideally designed for system engineers, computer engineers, professionals, academicians, researchers, and students seeking coverage on problem-oriented processing techniques and imaging technologies.


Anisotropic Diffusion

Anisotropic Diffusion
Author: Fouad Sabry
Publisher: One Billion Knowledgeable
Total Pages: 165
Release: 2024-04-28
Genre: Computers
ISBN:

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What is Anisotropic Diffusion In image processing and computer vision, anisotropic diffusion, also called Perona-Malik diffusion, is a technique aiming at reducing image noise without removing significant parts of the image content, typically edges, lines or other details that are important for the interpretation of the image. Anisotropic diffusion resembles the process that creates a scale space, where an image generates a parameterized family of successively more and more blurred images based on a diffusion process. Each of the resulting images in this family are given as a convolution between the image and a 2D isotropic Gaussian filter, where the width of the filter increases with the parameter. This diffusion process is a linear and space-invariant transformation of the original image. Anisotropic diffusion is a generalization of this diffusion process: it produces a family of parameterized images, but each resulting image is a combination between the original image and a filter that depends on the local content of the original image. As a consequence, anisotropic diffusion is a non-linear and space-variant transformation of the original image. How you will benefit (I) Insights, and validations about the following topics: Chapter 1: Anisotropic diffusion Chapter 2: Fick's laws of diffusion Chapter 3: Diffusion equation Chapter 4: Heat equation Chapter 5: Navier-Stokes equations Chapter 6: Total variation Chapter 7: Divergence Chapter 8: Laplace operator Chapter 9: Curl (mathematics) Chapter 10: Divergence theorem (II) Answering the public top questions about anisotropic diffusion. (III) Real world examples for the usage of anisotropic diffusion in many fields. Who this book is for Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of Anisotropic Diffusion.


Theoretical Foundations of Computer Vision

Theoretical Foundations of Computer Vision
Author: Walter Kropatsch
Publisher: Springer Science & Business Media
Total Pages: 260
Release: 2012-12-06
Genre: Computers
ISBN: 3709165865

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Computer Vision is a rapidly growing field of research investigating computational and algorithmic issues associated with image acquisition, processing, and understanding. It serves tasks like manipulation, recognition, mobility, and communication in diverse application areas such as manufacturing, robotics, medicine, security and virtual reality. This volume contains a selection of papers devoted to theoretical foundations of computer vision covering a broad range of fields, e.g. motion analysis, discrete geometry, computational aspects of vision processes, models, morphology, invariance, image compression, 3D reconstruction of shape. Several issues have been identified to be of essential interest to the community: non-linear operators; the transition between continuous to discrete representations; a new calculus of non-orthogonal partially dependent systems.


Anisotropic Diffusion in Image Processing

Anisotropic Diffusion in Image Processing
Author: Joachim Weickert
Publisher:
Total Pages: 140
Release: 1996
Genre: Bildverarbeitung - Partielle Differentialgleichung
ISBN:

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Anisotropic Diffusion in Image Processing

Anisotropic Diffusion in Image Processing
Author: Joachim Weickert
Publisher:
Total Pages: 170
Release: 1998
Genre: Differential equations, Partial
ISBN: 9783519026068

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"Many recent techniques for digital image enhancement and multiscale image representations are based on nonlinear partial differential equations. This book gives an introduction to the main ideas behind these methods, and it describes in a systematic way their theoretical foundations, numerical aspects, and applications. A large number of references enables the reader to acquire an up-to-date overview of the original literature. The central emphasis is on anisotropic nonlinear diffusion filters. Their flexibility allows to combine smoothing properties with image enhancement qualities. A general framework is explored covering well-posedness and scale-space results not only for the continuous, but also for the algorithmically important semidiscrete and fully discrete settings. The presented example range from applications in medical image analysis in computer aided quality control."--Back cover.


Anisotropy Across Fields and Scales

Anisotropy Across Fields and Scales
Author: Evren Özarslan
Publisher: Springer Nature
Total Pages: 284
Release: 2021
Genre: Algebra
ISBN: 3030562158

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This open access book focuses on processing, modeling, and visualization of anisotropy information, which are often addressed by employing sophisticated mathematical constructs such as tensors and other higher-order descriptors. It also discusses adaptations of such constructs to problems encountered in seemingly dissimilar areas of medical imaging, physical sciences, and engineering. Featuring original research contributions as well as insightful reviews for scientists interested in handling anisotropy information, it covers topics such as pertinent geometric and algebraic properties of tensors and tensor fields, challenges faced in processing and visualizing different types of data, statistical techniques for data processing, and specific applications like mapping white-matter fiber tracts in the brain. The book helps readers grasp the current challenges in the field and provides information on the techniques devised to address them. Further, it facilitates the transfer of knowledge between different disciplines in order to advance the research frontiers in these areas. This multidisciplinary book presents, in part, the outcomes of the seventh in a series of Dagstuhl seminars devoted to visualization and processing of tensor fields and higher-order descriptors, which was held in Dagstuhl, Germany, on October 28-November 2, 2018.


Python Image Processing Cookbook

Python Image Processing Cookbook
Author: Sandipan Dey
Publisher:
Total Pages: 438
Release: 2020-04-17
Genre: Computers
ISBN: 9781789537147

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Advancements in wireless devices and mobile technology have enabled the acquisition of a tremendous amount of graphics, pictures, and videos. Through cutting edge recipes, this book provides coverage on tools, algorithms, and analysis for image processing. This book provides solutions addressing the challenges and complex tasks of image processing.


Despeckle Filtering Algorithms and Software for Ultrasound Imaging

Despeckle Filtering Algorithms and Software for Ultrasound Imaging
Author: Christos Loizou
Publisher: Springer Nature
Total Pages: 172
Release: 2008-06-27
Genre: Technology & Engineering
ISBN: 303101510X

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It is well-known that speckle is a multiplicative noise that degrades image quality and the visual evaluation in ultrasound imaging. This necessitates the need for robust despeckling techniques for both routine clinical practice and teleconsultation. The goal for this book is to introduce the theoretical background (equations), the algorithmic steps, and the MATLABTM code for the following group of despeckle filters: linear filtering, nonlinear filtering, anisotropic diffusion filtering and wavelet filtering. The book proposes a comparative evaluation framework of these despeckle filters based on texture analysis, image quality evaluation metrics, and visual evaluation by medical experts, in the assessment of cardiovascular ultrasound images recorded from the carotid artery. The results of our work presented in this book, suggest that the linear local statistics filter DsFlsmv, gave the best performance, followed by the nonlinear geometric filter DsFgf4d, and the linear homogeneous mask area filter DsFlsminsc. These filters improved the class separation between the asymptomatic and the symptomatic classes (of ultrasound images recorded from the carotid artery for the assessment of stroke) based on the statistics of the extracted texture features, gave only a marginal improvement in the classification success rate, and improved the visual assessment carried out by two medical experts. A despeckle filtering analysis and evaluation framework is proposed for selecting the most appropriate filter or filters for the images under investigation. These filters can be further developed and evaluated at a larger scale and in clinical practice in the automated image and video segmentation, texture analysis, and classification not only for medical ultrasound but for other modalities as well, such as synthetic aperture radar (SAR) images. Table of Contents: Introduction to Ultrasound Imaging / Despeckle Filtering Algorithms / Evaluation Methodology / Applications of Despeckle Filtering in Ultrasound Imaging / Comparison and Discussion of Despeckle Filtering Algorithms / Summary and Future Directions