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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.
Over the last decades, the interior of cars has been constantly changing. A promising, yet unexplored, modality are large stereoscopic 3D (S3D) dashboards. Replacing the traditional car dashboard with a large display and applying binocular depth cues, such a user interface (UI) could provide novel possibilities for research and industry. In this book, the author introduces a development environment for such a user interface. With it, he performed several driving simulator experiments and shows that S3D can be used across the dashboard to support menu navigation and to highlight elements without impairing driving performance. The author demonstrates that S3D has the potential to promote safe driving when used in combination with virtual agents during conditional automated driving. Further, he present results indicating that S3D navigational cues improve take-over maneuvers in conditional automated vehicles. Finally, investigating the domain of highly automated driving, he studied how users would interact with and manipulate S3D content on such dashboards and present a user-defined gesture set.
Includes special sessions.