GPU Ray Tracing in Non-Euclidean Spaces / by Tiago Novello, Vinícius da Silva, Luiz Velho.

Format:

Book

Author/Creator:

Tiago, Novello, author.

Luiz, Velho, author.

Vinícius, da Silva, author.

Series:

Synthesis Lectures on Visual Computing: Computer Graphics, Animation, Computational Photography and Imaging, 2469-4223

Language:

English

Subjects (All):

Mathematics.

Image processing—Digital techniques.

Computer vision.

Computer Imaging, Vision, Pattern Recognition and Graphics.

Local Subjects:

Mathematics.

Computer Imaging, Vision, Pattern Recognition and Graphics.

Physical Description:

1 online resource (123 pages) : illustrations

Edition:

1st ed. 2022.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2022.

Summary:

This book explores the visualization of three-dimensional non-Euclidean spaces using ray-tracing techniques in Graphics Processing Unit (GPU). This is a trending topic in mathematical visualization that combines the mathematics areas of geometry and topology, with visualization concepts of computer graphics. Several conditions made this a special moment for such topic. On one hand, the development of mathematical research, computer graphics, and algorithms have provided the necessary theoretical framework. On the other hand, the evolution of the technologies and media allows us to be immersed in three-dimensional spaces using Virtual Reality. The content of this book serves both experts in the areas and students. Although this is a short book, it is self-contained since it considers all the ideas, motivations, references, and intuitive explanations of the required fundamental concepts.

Contents:

List of Figures

Introduction

Mathematical Background

Visualization of Three-Dimensional Spaces

Immersive Visualization

Riemannian Ray Tracing

Classical \lowercase {non

Nil, SL2, and Sol

Curved 3D Spaces

Photo-Realism

Bibliography

Authors' Biographies.

Notes:

Includes bibliographical references and index.

ISBN:

9783031792120

3031792122