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Quaternion and Clifford Fourier Transforms: Eckhard Hitzer Quaternion and Clifford Fourier Transforms
Eckhard Hitzer
R1,418 Discovery Miles 14 180 Ships in 9 - 15 working days

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

Quaternion and Clifford Fourier Transforms and Wavelets (Hardcover, 2013 ed.): Eckhard Hitzer, Stephen J. Sangwine Quaternion and Clifford Fourier Transforms and Wavelets (Hardcover, 2013 ed.)
Eckhard Hitzer, Stephen J. Sangwine
R4,842 Discovery Miles 48 420 Ships in 12 - 17 working days

Quaternion andClifford 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.

Quaternion and Clifford Fourier Transforms (Hardcover): Eckhard Hitzer Quaternion and Clifford Fourier Transforms (Hardcover)
Eckhard Hitzer
R5,532 Discovery Miles 55 320 Ships in 12 - 17 working days

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

Quaternionic Integral Transforms - A Machine-Generated Literature Overview (1st ed. 2023): Eckhard Hitzer Quaternionic Integral Transforms - A Machine-Generated Literature Overview (1st ed. 2023)
Eckhard Hitzer
R2,521 Discovery Miles 25 210 Ships in 10 - 15 working days

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.

Advanced Computational Applications of Geometric Algebra - First International Conference, ICACGA 2022, Colorado Springs, CO,... Advanced Computational Applications of Geometric Algebra - First International Conference, ICACGA 2022, Colorado Springs, CO, USA, October 2-5, 2022, Proceedings (1st ed. 2023)
David W. Silva, Eckhard Hitzer, Dietmar Hildenbrand
R1,689 Discovery Miles 16 890 Ships in 10 - 15 working days

This book constitutes the post-conference proceedings of the First International Conference on Advanced Computational Applications of Geometric Algebra, ICACGA 2022, held in Colorado Springs, 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.

Advances in Computer Graphics - 36th Computer Graphics International Conference, CGI 2019, Calgary, AB, Canada, June 17-20,... Advances in Computer Graphics - 36th Computer Graphics International Conference, CGI 2019, Calgary, AB, Canada, June 17-20, 2019, Proceedings (Paperback, 1st ed. 2019)
Marina Gavrilova, Jian Chang, Nadia Magnenat-Thalmann, Eckhard Hitzer, Hiroshi Ishikawa
R1,559 Discovery Miles 15 590 Ships in 10 - 15 working days

This book constitutes the refereed proceedings of the 36th Computer Graphics International Conference, CGI 2019, held in Calgary, AB, Canada, in June 2019. The 30 revised full papers presented together with 28 short papers were carefully reviewed and selected from 231 submissions. The papers address topics such as: 3D reconstruction and rendering, virtual reality and augmented reality, computer animation, geometric modelling, geometric computing, shape and surface modelling, visual analytics, image processing, pattern recognition, motion planning, gait and activity biometric recognition, machine learning for graphics and applications in security, smart electronics, autonomous navigation systems, robotics, geographical information systems, and medicine and art.

Quaternion and Clifford Fourier Transforms and Wavelets (Paperback, 2013 ed.): Eckhard Hitzer, Stephen J. Sangwine Quaternion and Clifford Fourier Transforms and Wavelets (Paperback, 2013 ed.)
Eckhard Hitzer, Stephen J. Sangwine
R5,472 Discovery Miles 54 720 Ships in 10 - 15 working days

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.

Empowering Novel Geometric Algebra for Graphics and Engineering - 7th International Workshop, ENGAGE 2022, Virtual Event,... Empowering Novel Geometric Algebra for Graphics and Engineering - 7th International Workshop, ENGAGE 2022, Virtual Event, September 12, 2022, Proceedings (1st ed. 2023)
Eckhard Hitzer, George Papagiannakis, Petr Vasik
R1,412 Discovery Miles 14 120 Ships in 12 - 17 working days

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.

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