Eckhard Hitzer – författare
2 704 kr
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811 kr
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Quaternion and Clifford Fourier Transforms describes the development of quaternion and Clifford Fourier transforms in Clifford (geometric) algebra over the last 30 years. It is the first comprehensive, self-contained book covering this vibrant new area of pure and applied mathematics in depth.
The book begins with a historic overview, followed by chapters on Clifford and quaternion algebra and geometric (vector) differential calculus (part of Clifford analysis). The core of the book consists of one chapter on quaternion Fourier transforms and one on Clifford Fourier transforms. These core chapters and their sections on more special topics are reasonably self-contained, so that readers already somewhat familiar with quaternions and Clifford algebra will hopefully be able to begin reading directly in the chapter and section of their particular interest, without frequently needing to skip back and forth. The topics covered are of fundamental interest to pure and applied mathematicians, physicists, and engineers (signal and color image processing, electrical engineering, computer science, computer graphics, artificial intelligence, geographic information science, aero-space engineering, navigation, etc.).
Features
Intuitive real geometric approach to higher-dimensional Fourier transformations
A comprehensive reference, suitable for graduate students and researchers
Includes detailed definitions, properties, and many full step-by-step proofs
Many figures and tables, a comprehensive biography, and a detailed index make it easy to locate information
811 kr
Läs direkt efter köp
Quaternion and Clifford Fourier Transforms describes the development of quaternion and Clifford Fourier transforms in Clifford (geometric) algebra over the last 30 years. It is the first comprehensive, self-contained book covering this vibrant new area of pure and applied mathematics in depth.
The book begins with a historic overview, followed by chapters on Clifford and quaternion algebra and geometric (vector) differential calculus (part of Clifford analysis). The core of the book consists of one chapter on quaternion Fourier transforms and one on Clifford Fourier transforms. These core chapters and their sections on more special topics are reasonably self-contained, so that readers already somewhat familiar with quaternions and Clifford algebra will hopefully be able to begin reading directly in the chapter and section of their particular interest, without frequently needing to skip back and forth. The topics covered are of fundamental interest to pure and applied mathematicians, physicists, and engineers (signal and color image processing, electrical engineering, computer science, computer graphics, artificial intelligence, geographic information science, aero-space engineering, navigation, etc.).
Features
Intuitive real geometric approach to higher-dimensional Fourier transformations
A comprehensive reference, suitable for graduate students and researchers
Includes detailed definitions, properties, and many full step-by-step proofs
Many figures and tables, a comprehensive biography, and a detailed index make it easy to locate information
694 kr
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Advances in Computer Graphics
36th Computer Graphics International Conference, CGI 2019, Calgary, AB, Canada, June 17–20, 2019, Proceedings
561 kr
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708 kr
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974 kr
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1 214 kr
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This book presents a machine-generated literature overview of quaternion integral transforms from select papers published by Springer Nature, which have been organized and introduced by the book’s editor. Each chapter presents summaries of predefined themes and provides the reader with a basis for further exploration of the topic. As one of the experimental projects initiated by Springer Nature for AI book content generation, this book shows the latest developments in the field. It will be a useful reference for students and researchers who are interested in exploring the latest developments in quaternion integral transforms.
625 kr
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Empowering Novel Geometric Algebra for Graphics and Engineering
7th International Workshop, ENGAGE 2022, Virtual Event, September 12, 2022, Proceedings
595 kr
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764 kr
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This book constitutes the proceedings of the Workshop Empowering Novel Geometric Algebra for Graphics and Engineering, ENGAGE 2022, held in conjunction with Computer Graphics International conference, CGI 2022, which took place virtually, in September 2022.
The 10 full papers included in this volume were carefully reviewed and selected from 12 submissions. The workshop focused specifically on important aspects of geometric algebra including algebraic foundations, digitized transformations, orientation, conic fitting, protein modelling, digital twinning, and multidimensional signal processing.625 kr
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Advanced Computational Applications of Geometric Algebra
First International Conference, ICACGA 2022, Denver, CO, USA, October 2-5, 2022, Proceedings
683 kr
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840 kr
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This book constitutes the post-conference proceedings of the First International Conference on Advanced Computational Applications of Geometric Algebra, ICACGA 2022, held in Denver, CO, USA, during October 2-5, 2022.
The 18 full papers presented in this book together with 12 abstracts of invited talks were carefully reviewed and selected from 24 submissions.
The papers are grouped in the following topical sections: geometric applications; computer science applications; technological applications; and applications to physics and mathematics.
Advanced Computational Applications of Geometric Algebra
ICACGA 2022, Denver, CO, USA, October 2–5
2 371 kr
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3 046 kr
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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.
Advanced Computational Applications of Geometric Algebra
ICACGA 2022, Denver, CO, USA, October 2–5
2 371 kr
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2 479 kr
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3 046 kr
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Empowering Novel Geometric Algebra for Graphics and Engineering
10th International Workshop, ENGAGE 2025, Hong Kong, China, July 14, 2025, Proceedings
544 kr
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693 kr
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1 727 kr
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2 149 kr
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Quaternion and Clifford Fourier and wavelet transformations generalize the classical theory to higher dimensions and are becoming increasingly important in diverse areas of mathematics, physics, computer science and engineering. This edited volume presents the state of the art in these hypercomplex transformations. The Clifford algebras unify Hamilton’s quaternions with Grassmann algebra. A Clifford algebra is a complete algebra of a vector space and all its subspaces including the measurement of volumes and dihedral angles between any pair of subspaces. Quaternion and Clifford algebras permit the systematic generalization of many known concepts. This book provides comprehensive insights into current developments and applications including their performance and evaluation. Mathematically, it indicates where further investigation is required. For instance, attention is drawn to the matrix isomorphisms for hypercomplex algebras, which will help readers to see that software implementations are within our grasp. It also contributes to a growing unification of ideas and notation across the expanding field of hypercomplex transforms and wavelets. The first chapter provides a historical background and an overview of the relevant literature, and shows how the contributions that follow relate to each other and to prior work. The book will be a valuable resource for graduate students as well as for scientists and engineers.
1 727 kr
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