Mathematical Insights Into Advanced Computer Graphics Techniques
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Mathematical Insights Into Advanced Computer Graphics Techniques
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Author : Yoshinori Dobashi
language : en
Publisher: Springer
Release Date : 2018-11-27
Mathematical Insights Into Advanced Computer Graphics Techniques written by Yoshinori Dobashi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-27 with Technology & Engineering categories.
This book presents cutting-edge developments in the advanced mathematical theories utilized in computer graphics research – fluid simulation, realistic image synthesis, and texture, visualization and digital fabrication. A spin-off book from the International Symposium on Mathematical Progress in Expressive Image Synthesis in 2016 and 2017 (MEIS2016/2017) held in Fukuoka, Japan, it includes lecture notes and an expert introduction to the latest research presented at the symposium. The book offers an overview of the emerging interdisciplinary themes between computer graphics and driven mathematic theories, such as discrete differential geometry. Further, it highlights open problems in those themes, making it a valuable resource not only for researchers, but also for graduate students interested in computer graphics and mathematics.
Mathematics For Computer Graphics
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Author : John Vince
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-11-09
Mathematics For Computer Graphics written by John Vince 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 2005-11-09 with Computers categories.
This is a concise and informal introductory book on the mathematical concepts that underpin computer graphics. The author, John Vince, makes the concepts easy to understand, enabling non-experts to come to terms with computer animation work. The book complements the author's other works and is written in the same accessible and easy-to-read style. It is also a useful reference book for programmers working in the field of computer graphics, virtual reality, computer animation, as well as students on digital media courses, and even mathematics courses.
Advanced Educational Technologies For Mathematics And Science
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Author : David L. Ferguson
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Advanced Educational Technologies For Mathematics And Science written by David L. Ferguson 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 2013-04-17 with Education categories.
This book is the outgrowth of a NATO Advanced Research Workshop, held in Milton Keynes (United Kingdom) in the summer of 1990. The workshop brought together about 30 world leaders in the use of advanced technologies in the teaching of mathematics and science. Many of these participants commented that the workshop was one of the more productive and exciting workshops that they had attended. It was not uncommon to see participants engaged in informal discussion far into the evenings and early mornings, long after formal sessions had ended. It is my hope that this book captures the substance and excitement of many of the ideas that were presented at the workshop. Indeed, the process by which this book has come about has given every opportunity for the best thinking to get reflected here. Participants wrote papers prior to the workshop. After the workshop, participants revised the papers at least once. In a few instances, three versions of papers were written. Some participants could not resist the urge to incorporate descriptions of some of the newer developments in their projects. The papers in this book demonstrate how technology is impacting our view of what should be taught, what can be taught, and how we should go about teaching in the various disciplines. As such, they offer great insight into the central issues of teaching and learning in a wide range of disciplines and across many grade levels (ranging from elementary school through undergraduate college education).
Applied Linear Algebra
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Author : Kartikeya Dutta
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Applied Linear Algebra written by Kartikeya Dutta and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Applied Linear Algebra: Core Principles" is a comprehensive guide that delves into the principles, methodologies, and practical applications of linear algebra in various fields of science, engineering, and technology. Combining theoretical foundations, computational techniques, and real-world examples, this book offers a holistic approach to understanding and utilizing linear algebra concepts. Covering a wide range of topics, including vector spaces, matrices, eigenvalue problems, singular value decomposition, and numerical techniques, readers will gain a thorough understanding of both fundamental and advanced principles. Real-world applications in data science, machine learning, signal processing, control systems, and image processing are integrated throughout, demonstrating the practical relevance of linear algebra. Complex mathematical concepts are presented in a clear and accessible manner, making the book suitable for students, researchers, and practitioners with varying levels of mathematical background. Detailed explanations, illustrative examples, and step-by-step solutions aid comprehension and retention. An interdisciplinary approach connects theoretical concepts with practical applications, highlighting the versatility of linear algebra in solving real-world problems. Extensive references to literature, research papers, and online resources enable readers to explore topics in greater depth. This book is an invaluable resource for students, researchers, and professionals seeking to apply linear algebra techniques in their work across various domains.
Learning From Computers Mathematics Education And Technology
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Author : Christine Keitel-Kreidt
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Learning From Computers Mathematics Education And Technology written by Christine Keitel-Kreidt 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 2012-12-06 with Education categories.
The NATO Advanced Research Workshop on Mathematics Education and Technology was held in Villard-de-Lans, France, between May 6 and 11, 1993. Organised on the initiative of the BaCoMET (Basic Components of Mathematics Education for Teachers) group (Christiansen, Howson and Otte 1986; Bishop, Mellin-Olsen and van Dormolen 1991), the workshop formed part of a larger NATO programme on Advanced Educational Technology. Some workshop members had already participated in earlier events in this series and were able to contribute insights from them: similarly some members were to take part in later events. The problematic for the workshop drew attention to important speculative developments in the applications of advanced information technology in mathematics education over the last decade, notably intelligent tutoring, geometric construction, symbolic algebra and statistical analysis. Over the same period, more elementary forms of information technology had started to have a significant influence on teaching approaches and curriculum content: notably arithmetic and graphic calculators; standard computer tools, such as spreadsheets and databases; and computer-assisted learning packages and computer microworlds specially designed for educational purposes.
Multivariate Calculus And Geometry Concepts
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Author : Chirag Verma
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Multivariate Calculus And Geometry Concepts written by Chirag Verma and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Multivariate Calculus and Geometry Concepts" is a comprehensive textbook designed to provide students, researchers, and practitioners with a thorough understanding of fundamental concepts, techniques, and applications in multivariate calculus and geometry. Authored by experts, we offer a balanced blend of theoretical foundations, practical examples, and computational methods, making it suitable for both classroom instruction and self-study. We cover a wide range of topics, including partial derivatives, gradients, line and surface integrals, parametric equations, polar coordinates, conic sections, and differential forms. Each topic is presented clearly and concisely, with detailed explanations and illustrative examples to aid understanding. Our emphasis is on developing a conceptual understanding of key concepts and techniques, rather than rote memorization of formulas. We include numerous figures, diagrams, and geometric interpretations to help readers visualize abstract mathematical concepts and their real-world applications. Practical applications of multivariate calculus and geometry are highlighted throughout the book, with examples drawn from physics, engineering, computer graphics, and other fields. We demonstrate how these concepts are used to solve real-world problems and inspire readers to apply their knowledge in diverse areas. We discuss computational methods and numerical techniques used in multivariate calculus and geometry, such as numerical integration, optimization algorithms, and finite element methods. Programming exercises and computer simulations provide hands-on experience with implementing and applying these methods. Our supplementary resources include online tutorials, solution manuals, and interactive simulations, offering additional guidance, practice problems, and opportunities for further exploration and self-assessment. "Multivariate Calculus and Geometry Concepts" is suitable for undergraduate and graduate students in mathematics, engineering, physics, computer science, and related disciplines. It also serves as a valuable reference for researchers, educators, and professionals seeking a comprehensive overview of multivariate calculus and geometry and its applications in modern science and technology.
Metematika Dasar
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Author : Wiwin Apriani
language : id
Publisher: TOHAR MEDIA
Release Date : 2024-05-04
Metematika Dasar written by Wiwin Apriani and has been published by TOHAR MEDIA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-04 with Mathematics categories.
Polyhedral And Algebraic Methods In Computational Geometry
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Author : Michael Joswig
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-01-04
Polyhedral And Algebraic Methods In Computational Geometry written by Michael Joswig 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 2013-01-04 with Mathematics categories.
Polyhedral and Algebraic Methods in Computational Geometry provides a thorough introduction into algorithmic geometry and its applications. It presents its primary topics from the viewpoints of discrete, convex and elementary algebraic geometry. The first part of the book studies classical problems and techniques that refer to polyhedral structures. The authors include a study on algorithms for computing convex hulls as well as the construction of Voronoi diagrams and Delone triangulations. The second part of the book develops the primary concepts of (non-linear) computational algebraic geometry. Here, the book looks at Gröbner bases and solving systems of polynomial equations. The theory is illustrated by applications in computer graphics, curve reconstruction and robotics. Throughout the book, interconnections between computational geometry and other disciplines (such as algebraic geometry, optimization and numerical mathematics) are established. Polyhedral and Algebraic Methods in Computational Geometry is directed towards advanced undergraduates in mathematics and computer science, as well as towards engineering students who are interested in the applications of computational geometry.
Fundamentals Of Computer Graphics
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Author : Peter Shirley
language : en
Publisher: CRC Press
Release Date : 2009-07-21
Fundamentals Of Computer Graphics written by Peter Shirley and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-21 with Computers categories.
With contributions by Michael Ashikhmin, Michael Gleicher, Naty Hoffman, Garrett Johnson, Tamara Munzner, Erik Reinhard, Kelvin Sung, William B. Thompson, Peter Willemsen, Brian Wyvill. The third edition of this widely adopted text gives students a comprehensive, fundamental introduction to computer graphics. The authors present the mathematical foundations of computer graphics with a focus on geometric intuition, allowing the programmer to understand and apply those foundations to the development of efficient code. New in this edition: Four new contributed chapters, written by experts in their fields: Implicit Modeling, Computer Graphics in Games, Color, Visualization, including information visualization Revised and updated material on the graphics pipeline, reflecting a modern viewpoint organized around programmable shading. Expanded treatment of viewing that improves clarity and consistency while unifying viewing in ray tracing and rasterization. Improved and expanded coverage of triangle meshes and mesh data structures. A new organization for the early chapters, which concentrates foundational material at the beginning to increase teaching flexibility.
Graphics Modeling And Visualization In Science And Technology
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Author : Martin Göbel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Graphics Modeling And Visualization In Science And Technology written by Martin Göbel 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 2012-12-06 with Computers categories.
The book reports on a workshop on Graphics Modeling and Visualization in scientific, engineering and technical applications. Visualization is known as the key technology to control massive data sets and to achieve insight into these tera bytes of data. Graphics Modeling is the enabling technology for advanced interaction. The papers report on applied visualization or basic research in modeling and visualization. Applications - using commercial or experimental visualization tools - cover the following fields: engineering and design, environmental research, material science, computational sciences, fluid dynamics and algorithmic visualization.