Novello, Tiago.
GPU Ray Tracing in Non-Euclidean Spaces [electronic resource] / by Tiago Novello, Vinícius da Silva, Luiz Velho. - 1st ed. 2022. - XVI, 112 p. online resource. - Synthesis Lectures on Visual Computing: Computer Graphics, Animation, Computational Photography and Imaging, 2469-4223 . - Synthesis Lectures on Visual Computing: Computer Graphics, Animation, Computational Photography and Imaging, .
List of Figures -- Introduction -- Mathematical Background -- Visualization of Three-Dimensional Spaces -- Immersive Visualization -- Riemannian Ray Tracing -- Classical \lowercase
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.
9783031792120
10.1007/978-3-031-79212-0 doi
Mathematics.
Image processing--Digital techniques.
Computer vision.
Mathematics.
Computer Imaging, Vision, Pattern Recognition and Graphics.
QA1-939
510
GPU Ray Tracing in Non-Euclidean Spaces [electronic resource] / by Tiago Novello, Vinícius da Silva, Luiz Velho. - 1st ed. 2022. - XVI, 112 p. online resource. - Synthesis Lectures on Visual Computing: Computer Graphics, Animation, Computational Photography and Imaging, 2469-4223 . - Synthesis Lectures on Visual Computing: Computer Graphics, Animation, Computational Photography and Imaging, .
List of Figures -- Introduction -- Mathematical Background -- Visualization of Three-Dimensional Spaces -- Immersive Visualization -- Riemannian Ray Tracing -- Classical \lowercase
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.
9783031792120
10.1007/978-3-031-79212-0 doi
Mathematics.
Image processing--Digital techniques.
Computer vision.
Mathematics.
Computer Imaging, Vision, Pattern Recognition and Graphics.
QA1-939
510