Algebraic 3 D Modeling
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Algebraic 3 D Modeling
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Author : Andreas Hartwig
language : en
Publisher: CRC Press
Release Date : 1996-08-06
Algebraic 3 D Modeling written by Andreas Hartwig and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-08-06 with Mathematics categories.
Written for researchers and developers of three-dimensional modeling programs, this book examines the variety of existing systems while investigating the practical limitations of available software. From the table of contents: - Polyhedra - Boundary Models - A Small Language Modeler - The Algebraic Model - Computation of Algebraic Manifolds - Topol
Advanced Computational Applications Of Geometric Algebra
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Author : David William Honorio Araujo Da Silva
language : en
Publisher: Springer Nature
Release Date : 2024-06-03
Advanced Computational Applications Of Geometric Algebra written by David William Honorio Araujo Da Silva and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-03 with Mathematics categories.
How Geometric Algebra can naturally serve for constructing solutions for pattern recognition, machine learning, data compression, games, robotics, quantum computing, data encoding, to cite a few. Moreover, there is ample evidence that further research on GA and related areas can significantly expand the number of real-world applications in a wide variety of areas. A mathematical system that is very easy to handle, highly robust and superior performance for engineering applications. Good thematic introduction for engineers and researchers new to the subject. Extensive illustrations and code examples. Thematically well structured with many hands on examples. Learning about GA and how to use it for daily tasks in engineering research and development.
Linear Algebra
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Author : Przemyslaw Bogacki
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-01-24
Linear Algebra written by Przemyslaw Bogacki and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-24 with Mathematics categories.
Linear Algebra: Concepts and Applications is designed to be used in a first linear algebra course taken by mathematics and science majors. It provides a complete coverage of core linear algebra topics, including vectors and matrices, systems of linear equations, general vector spaces, linear transformations, eigenvalues, and eigenvectors. All results are carefully, clearly, and rigorously proven. The exposition is very accessible. The applications of linear algebra are extensive and substantial—several of those recur throughout the text in different contexts, including many that elucidate concepts from multivariable calculus. Unusual features of the text include a pervasive emphasis on the geometric interpretation and viewpoint as well as a very complete treatment of the singular value decomposition. The book includes over 800 exercises and numerous references to the author's custom software Linear Algebra Toolkit.
Linear Algebra Unveiled New Insights And Practical Applications
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-15
Linear Algebra Unveiled New Insights And Practical Applications written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-15 with Mathematics categories.
In "Linear Algebra Unveiled: New Insights and Practical Applications," renowned mathematician Dr. Alex J. Edwards presents a comprehensive and engaging exploration of linear algebra, making this cornerstone of mathematics accessible to a wide audience. With a focus on practical applications and real-world examples, this book breathes life into abstract concepts, revealing their relevance and power in various fields. Through a captivating blend of theoretical exposition and illuminating examples, Dr. Edwards guides readers on a journey through the heart of linear algebra, starting with the fundamental building blocks of matrices, vectors, and systems of linear equations. From there, the exploration delves into the intricacies of linear transformations, revealing their properties and applications in diverse domains. The book unravels the mysteries of determinants, providing a powerful tool for understanding the behavior of matrices and solving systems of equations. It then ventures into the realm of subspaces and their dimensionality, offering geometric insights into the structure of linear algebra. The study of eigenvalues and eigenvectors unveils the hidden symmetries and patterns within matrices, providing a deeper understanding of their behavior. Venturing further, the book explores the concept of orthogonality and its applications in projections and least squares approximation. The singular value decomposition, a cornerstone of linear algebra, is unveiled, revealing its significance in data analysis and signal processing. Dr. Edwards then takes readers on a journey through vector spaces and linear transformations in their abstract form, delving into the theoretical underpinnings of linear algebra. The introduction of complex numbers expands the scope of the book, allowing readers to tackle problems in electrical engineering and quantum mechanics. Finally, the book concludes with a glimpse into the frontiers of linear algebra, where ongoing research and new applications continue to push the boundaries of this dynamic field. From tensor analysis and multilinear algebra to numerical linear algebra and matrix computations, readers gain a glimpse of the cutting-edge developments shaping the future of this captivating subject. "Linear Algebra Unveiled" is an invaluable resource for students, researchers, and professionals seeking a deeper understanding of linear algebra and its far-reaching applications. With its clear explanations, engaging examples, and insightful perspectives, this book will inspire readers to explore the depths of this fascinating subject and unlock its power in solving real-world problems. If you like this book, write a review!
Algebraic Frames For The Perception Action Cycle
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Author : Gerald Sommer
language : en
Publisher: Springer
Release Date : 2006-12-30
Algebraic Frames For The Perception Action Cycle written by Gerald Sommer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-30 with Computers categories.
This volume presents the proceedings of the 2nd International Workshop on - gebraic Frames for the Perception and Action Cycle. AFPAC 2000. held in Kiel, Germany, 10–11 September 2000. The presented topics cover new results in the conceptualization, design, and implementation of visual sensor-based robotics and autonomous systems. Special emphasis is placed on the role of algebraic modelling in the relevant disciplines, such as robotics, computer vision, theory of multidimensional signals, and neural computation. The aims of the workshop are twofold: ?rst, discussion of the impact of algebraic embedding of the task at hand on the emergence of new qualities of modelling and second, facing the strong relations between dominant geometric problems and algebraic modelling. The ?rst workshop in this series, AFPAC’97. inspired several groups to i- tiate new research programs, or to intensify ongoing research work in this ?eld, and the range of relevant topics was consequently broadened, The approach adopted by this workshop does not necessarily ?t the mainstream of worldwide research-granting policy. However, its search for fundamental problems in our ?eld may very well lead to new results in the relevant disciplines and contribute to their integration in studies of the perception–action cycle.
Computer Algebra In Scientific Computing
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Author : Vladimir P. Gerdt
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-08-26
Computer Algebra In Scientific Computing written by Vladimir P. Gerdt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-26 with Computers categories.
This book constitutes the refereed proceedings of the 13th International Workshop on Computer Algebra in Scientific Computing, CASC 2011, held in Kassel, Germany, in September 2011. The 26 full papers included in the book were carefully reviewed and selected from numerous submissions. The articles are organized in topical sections on the development of object oriented computer algebra software for the modeling of algebraic structures as typed objects; matrix algorithms; the investigation with the aid of computer algebra; the development of symbolic-numerical algorithms; and the application of symbolic computations in applied problems of physics, mechanics, social science, and engineering.
Numerical Linear Algebra
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Author : William Layton
language : en
Publisher: World Scientific
Release Date : 2020-07-14
Numerical Linear Algebra written by William Layton and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-14 with Mathematics categories.
'The numerical algorithms presented are written in pseudocode and based on MATLAB, a programming and numeric computing platform widely used in STEM fields. Thus, no formal training in computer science or knowledge of any specific programming language is needed to parse the algorithms. Summing up: Recommended.'CHOICEMany students come to numerical linear algebra from science and engineering seeking modern tools and an understanding of how the tools work and their limitations. Often their backgrounds and experience are extensive in applications of numerical methods but limited in abstract mathematics and matrix theory. Often enough it is limited to multivariable calculus, basic differential equations and methods of applied mathematics. This book introduces modern tools of numerical linear algebra based on this background, heavy in applied analysis but light in matrix canonical forms and their algebraic properties. Each topic is presented as algorithmic ideas and through a foundation based on mostly applied analysis. By picking a path through the book appropriate for the level, it has been used for both senior level undergraduates and beginning graduate classes with students from diverse fields and backgrounds.
Geometric Algebra Applications Vol I
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Author : Eduardo Bayro-Corrochano
language : en
Publisher: Springer
Release Date : 2018-06-20
Geometric Algebra Applications Vol I written by Eduardo Bayro-Corrochano and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-20 with Technology & Engineering categories.
The goal of the Volume I Geometric Algebra for Computer Vision, Graphics and Neural Computing is to present a unified mathematical treatment of diverse problems in the general domain of artificial intelligence and associated fields using Clifford, or geometric, algebra. Geometric algebra provides a rich and general mathematical framework for Geometric Cybernetics in order to develop solutions, concepts and computer algorithms without losing geometric insight of the problem in question. Current mathematical subjects can be treated in an unified manner without abandoning the mathematical system of geometric algebra for instance: multilinear algebra, projective and affine geometry, calculus on manifolds, Riemann geometry, the representation of Lie algebras and Lie groups using bivector algebras and conformal geometry. By treating a wide spectrum of problems in a common language, this Volume I offers both new insights and new solutions that should be useful to scientists, and engineers working in different areas related with the development and building of intelligent machines. Each chapter is written in accessible terms accompanied by numerous examples, figures and a complementary appendix on Clifford algebras, all to clarify the theory and the crucial aspects of the application of geometric algebra to problems in graphics engineering, image processing, pattern recognition, computer vision, machine learning, neural computing and cognitive systems.
Geometric Algebra Applications Vol Iii
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Author : Eduardo Bayro-Corrochano
language : en
Publisher: Springer Nature
Release Date : 2024-09-26
Geometric Algebra Applications Vol Iii written by Eduardo Bayro-Corrochano and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-26 with Computers categories.
The goal of Geometric Algebra Applications Vol. III: Integral Transforms, Machine Learning, and Quantum Computing is to present a unified mathematical treatment of diverse problems in the general domain like Clifford Fourier Transforms, Deep Learning and Geometric Algebra Convolutional Neural Networks, Quaternion Quantum Fourier Transform and Geometric Quantum Computing. Topics and features · Introduces nonspecialists to Clifford, or geometric algebra and by example encourages the reader to learn to compute using geometric entities and geometric formulations. · A study in depth for applications of Lie group theory, Lie algebra, projective geometry, and the algebra of incidence using the conformal geometric algebra. · Features the computing frameworks of the linear model n-dimensional affine plane and the nonlinear model of Euclidean space known as the horosphere, and addresses the relationships of these models to conformal, affine, and projective geometries. · Includes a thorough study of Integral transforms: Quaternion and Clifford Transforms, quaternion analytic signal, monogenic signals, Hilbert transform, Riesz transform, Clifford Fourier Transform, Quaternion Wavelet transforms, Quaternion Quantum Fourier Transform, 3D Radon Transform and Hough-Transform in geometric algebra. · Color image processing using the color model HSV, Quaternion Split rotors and motors, and the space-time Lorentz transform. · Geometric neural computing using Split Quaternions, Geometric Algebra neural networks, Clifford Support Vector Machine and Neuro Control. · Thorough discussion of several tasks of computer vision, graphics, neurocomputing, and robotics. machine learning, Deep Learning and CNNs, and Geometric Quantum Computing using the geometric algebra framework. · 130 exercises and hints for the development of future computer software packages for extensive calculations in geometric algebra. An entire section is dedicated to explaining how one should write the subroutines in C++, Phyton, Matlab, and Maple to carry out efficient geometric computations in the geometric algebra framework. Furthermore, it is shown how program code can be optimized for real-time computations. The book is an essential resource for applied mathematicians, physicists, computer scientists, graphics engineering, AI and Machine Learning researchers, roboticists and mechanical and electrical engineers, neurocomputing researchers, neuroscientists, and quantum computing specialists. It clarifies and demonstrates the importance of geometric computing for building autonomous systems and pushes forward advances in geometric cybernetics research.
Computer Vision Eccv 2008
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Author : David Forsyth
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-07
Computer Vision Eccv 2008 written by David Forsyth and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-07 with Computers categories.
The four-volume set comprising LNCS volumes 5302/5303/5304/5305 constitutes the refereed proceedings of the 10th European Conference on Computer Vision, ECCV 2008, held in Marseille, France, in October 2008. The 243 revised papers presented were carefully reviewed and selected from a total of 871 papers submitted. The four books cover the entire range of current issues in computer vision. The papers are organized in topical sections on recognition, stereo, people and face recognition, object tracking, matching, learning and features, MRFs, segmentation, computational photography and active reconstruction.