Digital and Discrete Geometry

Digital and Discrete Geometry PDF Author: Li M. Chen
Publisher: Springer
ISBN: 3319120999
Category : Computers
Languages : en
Pages : 325

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Book Description
This book provides comprehensive coverage of the modern methods for geometric problems in the computing sciences. It also covers concurrent topics in data sciences including geometric processing, manifold learning, Google search, cloud data, and R-tree for wireless networks and BigData. The author investigates digital geometry and its related constructive methods in discrete geometry, offering detailed methods and algorithms. The book is divided into five sections: basic geometry; digital curves, surfaces and manifolds; discretely represented objects; geometric computation and processing; and advanced topics. Chapters especially focus on the applications of these methods to other types of geometry, algebraic topology, image processing, computer vision and computer graphics. Digital and Discrete Geometry: Theory and Algorithms targets researchers and professionals working in digital image processing analysis, medical imaging (such as CT and MRI) and informatics, computer graphics, computer vision, biometrics, and information theory. Advanced-level students in electrical engineering, mathematics, and computer science will also find this book useful as a secondary text book or reference. Praise for this book: This book does present a large collection of important concepts, of mathematical, geometrical, or algorithmical nature, that are frequently used in computer graphics and image processing. These concepts range from graphs through manifolds to homology. Of particular value are the sections dealing with discrete versions of classic continuous notions. The reader finds compact definitions and concise explanations that often appeal to intuition, avoiding finer, but then necessarily more complicated, arguments... As a first introduction, or as a reference for professionals working in computer graphics or image processing, this book should be of considerable value." - Prof. Dr. Rolf Klein, University of Bonn.

Digital and Discrete Geometry

Digital and Discrete Geometry PDF Author: Li M. Chen
Publisher: Springer
ISBN: 3319120999
Category : Computers
Languages : en
Pages : 325

Get Book Here

Book Description
This book provides comprehensive coverage of the modern methods for geometric problems in the computing sciences. It also covers concurrent topics in data sciences including geometric processing, manifold learning, Google search, cloud data, and R-tree for wireless networks and BigData. The author investigates digital geometry and its related constructive methods in discrete geometry, offering detailed methods and algorithms. The book is divided into five sections: basic geometry; digital curves, surfaces and manifolds; discretely represented objects; geometric computation and processing; and advanced topics. Chapters especially focus on the applications of these methods to other types of geometry, algebraic topology, image processing, computer vision and computer graphics. Digital and Discrete Geometry: Theory and Algorithms targets researchers and professionals working in digital image processing analysis, medical imaging (such as CT and MRI) and informatics, computer graphics, computer vision, biometrics, and information theory. Advanced-level students in electrical engineering, mathematics, and computer science will also find this book useful as a secondary text book or reference. Praise for this book: This book does present a large collection of important concepts, of mathematical, geometrical, or algorithmical nature, that are frequently used in computer graphics and image processing. These concepts range from graphs through manifolds to homology. Of particular value are the sections dealing with discrete versions of classic continuous notions. The reader finds compact definitions and concise explanations that often appeal to intuition, avoiding finer, but then necessarily more complicated, arguments... As a first introduction, or as a reference for professionals working in computer graphics or image processing, this book should be of considerable value." - Prof. Dr. Rolf Klein, University of Bonn.

Introduction to Digital Control

Introduction to Digital Control PDF Author: Biswanath Samanta
Publisher: Springer Nature
ISBN: 3031668308
Category :
Languages : en
Pages : 580

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Book Description


Digital Power Electronics and Applications

Digital Power Electronics and Applications PDF Author: Fang Lin Luo
Publisher: Elsevier
ISBN: 0080459021
Category : Technology & Engineering
Languages : en
Pages : 422

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Book Description
The purpose of this book is to describe the theory of Digital Power Electronics and its applications. The authors apply digital control theory to power electronics in a manner thoroughly different from the traditional, analog control scheme. In order to apply digital control theory to power electronics, the authors define a number of new parameters, including the energy factor, pumping energy, stored energy, time constant, and damping time constant. These parameters differ from traditional parameters such as the power factor, power transfer efficiency, ripple factor, and total harmonic distortion. These new parameters result in the definition of new mathematical modeling: • A zero-order-hold (ZOH) is used to simulate all AC/DC rectifiers. • A first-order-hold (FOH) is used to simulate all DC/AC inverters. • A second-order-hold (SOH) is used to simulate all DC/DC converters. • A first-order-hold (FOH) is used to simulate all AC/AC (AC/DC/AC) converters. Presents most up-to-date methods of analysis and control algorithms for developing power electronic converters and power switching circuits Provides an invaluable reference for engineers designing power converters, commercial power supplies, control systems for motor drives, active filters, etc. Presents methods of analysis not available in other books

Mathematical Methods in Time Series Analysis and Digital Image Processing

Mathematical Methods in Time Series Analysis and Digital Image Processing PDF Author: Rainer Dahlhaus
Publisher: Springer Science & Business Media
ISBN: 3540756329
Category : Computers
Languages : en
Pages : 304

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Book Description
This coherent and articulate volume summarizes work carried out in the field of theoretical signal and image processing. It focuses on non-linear and non-parametric models for time series as well as on adaptive methods in image processing. The aim of this volume is to bring together research directions in theoretical signal and imaging processing developed rather independently in electrical engineering, theoretical physics, mathematics and the computer sciences.

Digital Orthopedics

Digital Orthopedics PDF Author: Guoxian Pei
Publisher: Springer
ISBN: 9402410767
Category : Medical
Languages : en
Pages : 453

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Book Description
This book addresses all aspects of digital techniques in orthopedics, from development of the core principles to imaging techniques, computer-aided design, reverse engineering and their applications. It illustrates the successful applications in accurate operation using 3-D reconstruction and applied digital techniques. All illustrations and tables were meticulously selected and are easy to understand. The book was written for all doctors and researchers who work in the fields of orthopedics, CAD/CAM and anatomy. Above all, surgeons, physiatrists, radiologists, and engineers in image processing and orthopedics will find it a valuable resource.

Digital Functions and Data Reconstruction

Digital Functions and Data Reconstruction PDF Author: Li Chen
Publisher: Springer Science & Business Media
ISBN: 146145638X
Category : Computers
Languages : en
Pages : 220

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Book Description
Digital Functions and Data Reconstruction: Digital-Discrete Methods provides a solid foundation to the theory of digital functions and its applications to image data analysis, digital object deformation, and data reconstruction. This new method has a unique feature in that it is mainly built on discrete mathematics with connections to classical methods in mathematics and computer sciences. Digitally continuous functions and gradually varied functions were developed in the late 1980s. A. Rosenfeld (1986) proposed digitally continuous functions for digital image analysis, especially to describe the “continuous” component in a digital image, which usually indicates an object. L. Chen (1989) invented gradually varied functions to interpolate a digital surface when the boundary appears to be continuous. In theory, digitally continuous functions are very similar to gradually varied functions. Gradually varied functions are more general in terms of being functions of real numbers; digitally continuous functions are easily extended to the mapping from one digital space to another. This will be the first book about digital functions, which is an important modern research area for digital images and digitalized data processing, and provides an introduction and comprehensive coverage of digital function methods. Digital Functions and Data Reconstruction: Digital-Discrete Methods offers scientists and engineers who deal with digital data a highly accessible, practical, and mathematically sound introduction to the powerful theories of digital topology and functional analysis, while avoiding the more abstruse aspects of these topics.

Mathematical Problems in Data Science

Mathematical Problems in Data Science PDF Author: Li M. Chen
Publisher: Springer
ISBN: 3319251279
Category : Computers
Languages : en
Pages : 219

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Book Description
This book describes current problems in data science and Big Data. Key topics are data classification, Graph Cut, the Laplacian Matrix, Google Page Rank, efficient algorithms, hardness of problems, different types of big data, geometric data structures, topological data processing, and various learning methods. For unsolved problems such as incomplete data relation and reconstruction, the book includes possible solutions and both statistical and computational methods for data analysis. Initial chapters focus on exploring the properties of incomplete data sets and partial-connectedness among data points or data sets. Discussions also cover the completion problem of Netflix matrix; machine learning method on massive data sets; image segmentation and video search. This book introduces software tools for data science and Big Data such MapReduce, Hadoop, and Spark. This book contains three parts. The first part explores the fundamental tools of data science. It includes basic graph theoretical methods, statistical and AI methods for massive data sets. In second part, chapters focus on the procedural treatment of data science problems including machine learning methods, mathematical image and video processing, topological data analysis, and statistical methods. The final section provides case studies on special topics in variational learning, manifold learning, business and financial data rec overy, geometric search, and computing models. Mathematical Problems in Data Science is a valuable resource for researchers and professionals working in data science, information systems and networks. Advanced-level students studying computer science, electrical engineering and mathematics will also find the content helpful.

Handbook of Research on Big Data and the IoT

Handbook of Research on Big Data and the IoT PDF Author: Kaur, Gurjit
Publisher: IGI Global
ISBN: 1522574336
Category : Computers
Languages : en
Pages : 602

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Book Description
The increase in connected devices in the internet of things (IoT) is leading to an exponential increase in the data that an organization is required to manage. To successfully utilize IoT in businesses, big data analytics are necessary in order to efficiently sort through the increased data. The combination of big data and IoT can thus enable new monitoring services and powerful processing of sensory data streams. The Handbook of Research on Big Data and the IoT is a pivotal reference source that provides vital research on emerging trends and recent innovative applications of big data and IoT, challenges facing organizations and the implications of these technologies on society, and best practices for their implementation. While highlighting topics such as bootstrapping, data fusion, and graph mining, this publication is ideally designed for IT specialists, managers, policymakers, analysts, software engineers, academicians, and researchers.

Handbook of Research on Foundations and Applications of Intelligent Business Analytics

Handbook of Research on Foundations and Applications of Intelligent Business Analytics PDF Author: Sun, Zhaohao
Publisher: IGI Global
ISBN: 179989018X
Category : Computers
Languages : en
Pages : 425

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Book Description
Intelligent business analytics is an emerging technology that has become a mainstream market adopted broadly across industries, organizations, and geographic regions. Intelligent business analytics is a current focus for research and development across academia and industries and must be examined and considered thoroughly so businesses can apply the technology appropriately. The Handbook of Research on Foundations and Applications of Intelligent Business Analytics examines the technologies and applications of intelligent business analytics and discusses the foundations of intelligent analytics such as intelligent mining, intelligent statistical modeling, and machine learning. Covering topics such as augmented analytics and artificial intelligence systems, this major reference work is ideal for scholars, engineers, professors, practitioners, researchers, industry professionals, academicians, and students.

Computational Science and Its Applications – ICCSA 2016

Computational Science and Its Applications – ICCSA 2016 PDF Author: Osvaldo Gervasi
Publisher: Springer
ISBN: 3319421085
Category : Computers
Languages : en
Pages : 658

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Book Description
The five-volume set LNCS 9786-9790 constitutes the refereed proceedingsof the 16th International Conference on Computational Science and ItsApplications, ICCSA 2016, held in Beijing, China, in July 2016. The 239 revised full papers and 14 short papers presented at 33 workshops were carefully reviewed and selected from 849 submissions. They are organized in five thematical tracks: computational methods, algorithms and scientific applications; high performance computing and networks; geometric modeling, graphics and visualization; advanced and emerging applications; and information systems and technologies.