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This textbook teaches readers how to turn geometry into an image on a computer screen. This exciting journey begins in the schools of the ancient Greek philosophers, and describes the major events that changed people's perception of geometry. The readers will learn how to see geometry and colors beyond simple mathematical formulas and how to represent geometric shapes, transformations and motions by digital sampling of various mathematical functions. Special multiplatform visualization software developed by the author will allow readers to explore the exciting world of visual immersive mathematics, and the book software repository will provide a starting point for their own sophisticated visualization applications. Making Images with Mathematics serves as a self-contained text for a one-semester computer graphics and visualization course for computer science and engineering students, as well as a reference manual for researchers and developers.
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This book constitutes the refereed proceedings of the 8th International Conference on Augmented Reality, Virtual Reality, and Computer Graphics, AVR 2021, held in Italy, in September 2021. Due to COVID-19 pandemic the conference was held virtually. The 38 full and 14 short papers were carefully reviewed and selected from 69 submissions. The papers discuss key issues, approaches, ideas, open problems, innovative applications and trends in virtual reality, augmented reality, mixed reality, applications in cultural heritage, in medicine, in education, and in industry.
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This second edition has been completely restructured, resulting in a compelling description of vector analysis from its first appearance as a byproduct of Hamilton's quaternions to the use of vectors in solving geometric problems. The result provides readers from different backgrounds with a complete introduction to vector analysis. The author shows why vectors are so useful and how it is possible to develop analytical skills in manipulating vector algebra. Using over 150 full-colour illustrations, the author demonstrates in worked examples how this relatively young branch of mathematics has become a powerful and central tool in describing and solving a wide range of geometric problems. These may be in the form of lines, surfaces and volumes, which may touch, collide, intersect, or create shadows upon complex surfaces. The book is divided into eleven chapters covering the history of vector analysis, linear equations, vector algebra, vector products, differentiating vector-valued functions, vector differential operators, tangent and normal vectors, straight lines, planes, intersections and rotating vectors. The new chapters are about the history, differentiating vector-valued functions, differential operators and tangent and normal vectors. The original chapters have been reworked and illustrated.
Geometry --- Artificial intelligence. Robotics. Simulation. Graphics --- landmeetkunde --- grafische vormgeving
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Extending traditional digital platforms to the new frontier of extended reality (XR) requires taking into account what best practices, new concepts, and conventions have been established and what learnings can be brought forward from case studies involving industry leaders. By looking at practical examples from the field of handheld AR breakthroughs, virtual reality (VR) success stories and experimental interaction concept of pioneering XR platforms, you'll see how it's possible to map out a framework of user experience (UX) guidelines to close in on opportunities and challenges that lay ahead. This book defines, identifies, and analyzes UX practices for XR environments and reviews the techniques and tools for prototyping and designing XR user interactions. You'll approach the design for experiential state and spatial cognition, using established UX key performance indicators, while taking into account the social dynamics, emotional framework and wider industry context. UX design and strategy for the XR space is a new frontier, so UX for XR focuses on case studies and industry research to illustrate the relationship between UX design and the growth of immersive technologies. Practical examples will demonstrate how you should apply UX design principles using designing interactions in XR by identifying the importance of spaces, senses and storyboarding. You will: Explore the challenges and opportunities of designing for XR See how spatial interaction is revolutionizing human computer interaction Examine sensory input and interaction beyond the screen Work with 3D Interaction Design and build a strong 3D UX Understand VR and AR essentials for emotion-rich user experiences Apply UX research techniques for the XR space.
Programming --- Computer. Automation --- Graphic arts --- grafische vormgeving --- informatica --- interfaces
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Modern science requires computer graphics models to provide realistic visual renderings. Learning the appropriate programming tools for 2D and 3D modeling doesn't have to be so difficult. This book reviews the best programming tools to achieve this and explains how to apply them to mobile platforms like Android. Multi-Platform Graphics Programming with Kivy provides a straightforward introductory approach for designing 2D, 3D, and stereoscopic applications, using analytical equations from vector algebra. Throughout the book you'll look closely at this approach and develop scenes in Kivy, taking advantage of powerful mathematical functions for arrays by NumPy for Python. Unbuntu is used to develop the programs, which allows you to easily convert to Android platform. Each chapter contains step-by-step descriptions on each subject and provides complete program listings. You will: Work with Kivy, a modern, powerful multi-platform graphics system Convert and run programs on Android devices Program, fill faces, and rotate 2D and 3D polygons Apply the concepts of 2D and 3D applications Develop stereoscopic scenes Review a straightforward introduction to 2D, 3D, and stereoscopic graphics applications Use simple analytical equations from vector algebra.
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The LNCS journal Transactions on Computational Science reflects recent developments in the field of Computational Science, conceiving the field not as a mere ancillary science but rather as an innovative approach supporting many other scientific disciplines. The journal focuses on original high-quality research in the realm of computational science in parallel and distributed environments, encompassing the facilitating theoretical foundations and the applications of large-scale computations and massive data processing. It addresses researchers and practitioners in areas ranging from aerospace to biochemistry, from electronics to geosciences, from mathematics to software architecture, presenting verifiable computational methods, findings, and solutions, and enabling industrial users to apply techniques of leading-edge, large-scale, high performance computational methods. This, the 38th issue of the Transactions on Computational Science, is devoted to research on modelling, optimization, and graphs, with applications in 3D and sketch modelling, engineering design, evolutionary computing, and networks.
Computer science --- Artificial intelligence. Robotics. Simulation. Graphics --- Computer. Automation --- computervisie --- grafische vormgeving --- informatica --- wiskunde --- algoritmen
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This book shares new research findings and practical lessons learned that will foster advances in digital design, communication design, web, multimedia and motion design, graphic design and branding, and other related areas. It gathers the best papers presented at the 3rd International Conference on Digital Design and Communication, DIGICOM 2019, held on November 15-16, 2019, in Barcelos, Portugal. The respective contributions highlight new theoretical perspectives and practical research directions in design and communication, aimed at promoting their use in a global, digital world. The book offers a timely guide and a source of inspiration for designers of all kinds (Graphic, Digital, Web, UI & UX Design and Social Media), for researchers, advertisers, artists, entrepreneurs, and brand or corporate communication managers, and for teachers and advanced students. .
Journalism --- Production management --- Computer. Automation --- Graphic arts --- grafische vormgeving --- industrie --- landbouw --- media --- ontwerpen
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If you have ever wondered what quaternions are - then look no further, John Vince will show you how simple and useful they are. This 2nd edition has been completely revised and includes extra detail on the invention of quaternions, a complete review of the text and equations, all figures are in colour, extra worked examples, an expanded index, and a bibliography arranged for each chapter. Quaternions for Computer Graphics includes chapters on number sets and algebra, imaginary and complex numbers, the complex plane, rotation transforms, and a comprehensive description of quaternions in the context of rotation. The book will appeal to students of computer graphics, computer science and mathematics, as well as programmers, researchers, academics and professional practitioners interested in learning about quaternions. John Vince explains in an easy-to-understand language, with the aid of useful figures, how quaternions emerged, gave birth to modern vector analysis, disappeared, and reemerged to be adopted by the flight simulation industry and computer graphics. This book will give you the confidence to use quaternions within your every-day mathematics, and explore more advanced texts.
Mathematical logic --- Mathematics --- Artificial intelligence. Robotics. Simulation. Graphics --- Computer. Automation --- grafische vormgeving --- informatica --- wiskunde --- logica
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Visualizations of virtual objects in the real environment is often done by a simplified representation with simple surfaces and without reference to the surrounding environment. The seamless fusion of the virtual and real environment is, however, an essential factor in many areas, which is of particular importance when calculating lighting in mixed realities on mobile devices. Current approaches focus on approximations, which allow the calculation of diffuse lighting, whereby the rendering of glossy reflection properties is often neglected. The aim of this book is to enable the visualization of mirror-like reflective surfaces in mixed reality. In order to achieve this goal, various approaches are explored enabling high-quality visualization of virtual objects in realtime with a focus on the use of common hardware such as cameras, sensors in mobile devices, and partially depth sensors. Complete ambient lighting can be estimated, which enables detailed reflections. The results provide a novel way to embed complex and simple geometric shapes with glossy surfaces in the real world which offers a higher level of detail in the reflections without using additional hardware. About the author Tobias Schwandt´s professional and personal focus at the TU Ilmenau is the area of Mixed-Reality (MR). Within his dissertation, he particularly concerned himself with the topic of illumination of virtual content in AR, its influence on the real environment, the reconstruction of the environment light, and the manipulation of real geometry by virtual content. .
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Develop applications and experiences for Microsoft's HoloLens 2 and other Windows mixed reality devices. This easy-to-follow guide removes the mystery behind creating amazing augmented reality and virtual reality experiences. Mixed reality development tools and resources are provided. Beginning Windows Mixed Reality Programming, 2nd edition clearly explains all the nuances of mixed reality software development. You will learn how to create 3D objects and holograms, interact with holograms using voice commands and hand gestures, use spatial mapping and 3D spatial sound, build with toolkits such as Microsoft's Mixed Reality Toolkit and Unity's AR Foundation and XR Platform, create intuitive user interfaces, and make truly awe-inspiring mixed reality experiences. This newly revised edition also includes updated content for HoloLens 2 development, including tutorials for new interactions such as hand tracking and eye tracking. What You Will Learn Prototype ideas quickly for the HoloLens 2 and Windows mixed reality devices Get started with Unity, the preferred tool for developing 3D experiences Locate and import 3D models for your project, or make your own Use spatial sound, voice commands, gestures, hand tracking, and eye tracking Build with Microsoft's Mixed Reality Toolkit and other toolkits to make apps the easy way Publish to the Windows Store and make money from your app.
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