GPU RAY TRACING IN NON-EUCLIDEAN SPACES
by TIAGO NOVELLO; VINICIUS DA SILVA; LUIZ VELHO
Title Statements
- Full title :GPU RAY TRACING IN NON-EUCLIDEAN SPACES
Edition Statements
- Publication Date:2022.
Publication Statements
- Publisher(s):MORGAN & CLAYPOOL PUBLISH
- Place of Publication:S.l
- Language:eng
- Publication Date:2022.
The Physical Object
- Description:1 online resource
Edition Identifiers
- ISBN:1636393276, 9781636393278
- oclc:on1305912275
Table of Contents
Intro -- List of Figures -- Introduction -- Motivation -- Related Work -- OpenGL Visualization of Non-Euclidean Spaces -- Virtual Reality -- Ray Tracing -- Metric Neutral -- Visualization of Non-Euclidean Manifolds -- Structure of the Book -- Mathematical Background -- History -- Henri Poincaré -- William P. Thurston -- Grigori Perelman -- Topology -- Riemannian Geometry -- Manifold -- Metric -- Lie Groups -- Geodesics -- Exponential Map -- 2-Manifolds -- Classification of Compact Surfaces -- Geometrization of Compact Surfaces -- 3-Manifolds -- Classification of Compact 3-Manifolds -- Geometrization of Compact 3-Manifolds -- Eight Thurston Geometries -- Classical Geometries -- Product Geometries -- ``Twisted" Product Geometries -- Visualization of Three-Dimensional Spaces -- The Viewing Transformation Pipeline -- Inside Views in Non-Euclidean Spaces -- Types of Algorithms -- Rendering Acceleration -- Immersive Visualization -- GPU Ray Tracing -- RTX Ray Tracing -- Falcor 3.2.1 -- Ray Tracing VR -- Simple Ray Tracer -- PathTracing -- StereoRendering -- Integration -- Stereo Convergence -- Ray Tracing Overhead -- Riemannian Ray Tracing -- Core Concepts -- Geodesics and Fundamental D…
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