Gpu Ray Tracing In Non Euclidean Spaces

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GPU Ray Tracing in Non-Euclidean Spaces

Author : Novello Tiago,da Silva Vinícius,Velho Luiz
Publisher : Springer Nature
Page : 112 pages
File Size : 51,8 Mb
Release : 2022-05-31
Category : Mathematics
ISBN : 9783031792120

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

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.

Sound Synthesis, Propagation, and Rendering

Author : Shiguang Liu,Dinesh Manocha
Publisher : Morgan & Claypool Publishers
Page : 110 pages
File Size : 44,6 Mb
Release : 2022-03-24
Category : Computers
ISBN : 9781636393216

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Sound Synthesis, Propagation, and Rendering by Shiguang Liu,Dinesh Manocha Pdf

This book gives a broad overview of research on sound simulation driven by a variety of applications. Vibrating objects produce sound, which then propagates through a medium such as air or water before finally being heard by a listener. As a crucial sensory channel, sound plays a vital role in many applications. There is a well-established research community in acoustics that has studied the problems related to sound simulation for six decades. Some of the earliest work was motivated by the design of concert halls, theaters, or lecture rooms with good acoustic characteristics. These problems also have been investigated in other applications, including noise control and sound design for urban planning, building construction, and automotive applications. Moreover, plausible or realistic sound effects can improve the sense of presence in a virtual environment or a game. In these applications, sound can provide important clues such as source directionality and spatial size. The book first surveys various sound synthesis methods, including harmonic synthesis, texture synthesis, spectral analysis, and physics-based synthesis. Next, it provides an overview of sound propagation techniques, including wave-based methods, geometric-based methods, and hybrid methods. The book also summarizes various techniques for sound rendering. Finally, it surveys some recent trends, including the use of machine learning methods to accelerate sound simulation and the use of sound simulation techniques for other applications such as speech recognition, source localization, and computer-aided design.

GPU-Based Techniques for Global Illumination Effects

Author : Laszlo Szirmay-Kalos,Laszlo Szecsi,Mateu Sbert
Publisher : Morgan & Claypool Publishers
Page : 302 pages
File Size : 41,8 Mb
Release : 2008-06-08
Category : Technology & Engineering
ISBN : 9781598295603

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GPU-Based Techniques for Global Illumination Effects by Laszlo Szirmay-Kalos,Laszlo Szecsi,Mateu Sbert Pdf

This book presents techniques to render photo-realistic images by programming the Graphics Processing Unit (GPU). We discuss effects such as mirror reflections, refractions, caustics, diffuse or glossy indirect illumination, radiosity, single or multiple scattering in participating media, tone reproduction, glow, and depth of field. The book targets game developers, graphics programmers, and also students with some basic understanding of computer graphics algorithms, rendering APIs like Direct3D or OpenGL, and shader programming. In order to make the book self-contained, the most important concepts of local illumination and global illumination rendering, graphics hardware, and Direct3D/HLSL programming are reviewed in the first chapters. After these introductory chapters we warm up with simple methods including shadow and environment mapping, then we move on toward advanced concepts aiming at global illumination rendering. Since it would have been impossible to give a rigorous review of all approaches proposed in this field, we go into the details of just a few methods solving each particular global illumination effect. However, a short discussion of the state of the art and links to the bibliography are also provided to refer the interested reader to techniques that are not detailed in this book. The implementation of the selected methods is also presented in HLSL, and we discuss their observed performance, merits, and disadvantages. In the last chapter, we also review how these techniques can be integrated in an advanced game engine and present case studies of their exploitation in games. Having gone through this book, the reader will have an overview of the state of the art, will be able to apply and improve these techniques, and most importantly, will be capable of developing brand new GPU algorithms. Table of Contents: Global Illumintation Rendering / Local Illumination Rendering Pipeline of GPUs / Programming and Controlling GPUs / Simple Improvements of the Local Illumination Model / Ray Casting on the GPU / Specular Effects with Rasterization / Diffuse and Glossy Indirect Illumination / Pre-computation Aided Global Illumination / Participating Media Rendering / Fake Global Illumination / Postprocessing Effects / Integrating GI Effects in Games and Virtual Reality Systems / Bibliography

Computer Vision Systems

Author : Mario Fritz,Bernt Schiele,Justus H. Piater
Publisher : Springer
Page : 456 pages
File Size : 44,8 Mb
Release : 2009-10-14
Category : Computers
ISBN : 9783642046674

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Computer Vision Systems by Mario Fritz,Bernt Schiele,Justus H. Piater Pdf

This book constitutes the refereed proceedings of the 7th International Conference on Computer Vision Systems, ICVS 2009, held in Liege, Belgium, October 13-15, 2009. The 21 papers for oral presentation presented together with 24 poster presentations and 2 invited papers were carefully reviewed and selected from 96 submissions. The papers are organized in topical sections on human-machine-interaction, sensors, features and representations, stereo, 3D and optical flow, calibration and registration, mobile and autonomous systems, evaluation, studies and applications, learning, recognition and adaption.

Realistic Ray Tracing, Second Edition

Author : Peter Shirley,R. Keith Morley
Publisher : A K Peters, Ltd.
Page : 242 pages
File Size : 53,5 Mb
Release : 2008-12-19
Category : Computers
ISBN : 9781568814612

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Realistic Ray Tracing, Second Edition by Peter Shirley,R. Keith Morley Pdf

Concentrating on the "nuts and bolts" of writing ray tracing programs, this new and revised edition emphasizes practical and implementation issues and takes the reader through all the details needed to write a modern rendering system. Most importantly, the book adds many C++ code segments, and adds new details to provide the reader with a better intuitive understanding of ray tracing algorithms.

Computational Symmetry in Computer Vision and Computer Graphics

Author : Yanxi Liu,Hagit Hel-Or,Craig S. Kaplan
Publisher : Now Publishers Inc
Page : 209 pages
File Size : 52,8 Mb
Release : 2010
Category : Computers
ISBN : 9781601983640

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Computational Symmetry in Computer Vision and Computer Graphics by Yanxi Liu,Hagit Hel-Or,Craig S. Kaplan Pdf

In the arts and sciences, as well as in our daily lives, symmetry has made a profound and lasting impact. Likewise, a computational treatment of symmetry and group theory (the ultimate mathematical formalization of symmetry) has the potential to play an important role in computational sciences. Though the term Computational Symmetry was formally defined a decade ago by the first author, referring to algorithmic treatment of symmetries, seeking symmetry from digital data has been attempted for over four decades. Computational symmetry on real world data turns out to be challenging enough that, after decades of effort, a fully automated symmetry-savvy system remains elusive for real world applications. The recent resurging interests in computational symmetry for computer vision and computer graphics applications have shown promising results. Recognizing the fundamental relevance and potential power that computational symmetry affords, we offer this survey to the computer vision and computer graphics communities. This survey provides a succinct summary of the relevant mathematical theory, a historic perspective of some important symmetry-related ideas, a partial yet timely report on the state of the arts symmetry detection algorithms along with its first quantitative benchmark, a diverse set of real world applications, suggestions for future directions and a comprehensive reference list.

Euclidean and Non-Euclidean Geometries

Author : Marvin J. Greenberg
Publisher : Unknown
Page : 674 pages
File Size : 55,9 Mb
Release : 2020-10-22
Category : Mathematics
ISBN : 4871870030

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Euclidean and Non-Euclidean Geometries by Marvin J. Greenberg Pdf

Captain Ahab has an obsessive search for the Great White Whale who had bitten off his leg at the knee.

Computer Graphics from Scratch

Author : Gabriel Gambetta
Publisher : No Starch Press
Page : 250 pages
File Size : 53,8 Mb
Release : 2021-05-13
Category : Computers
ISBN : 9781718500761

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Computer Graphics from Scratch by Gabriel Gambetta Pdf

Computer Graphics from Scratch demystifies the algorithms used in modern graphics software and guides beginners through building photorealistic 3D renders. Computer graphics programming books are often math-heavy and intimidating for newcomers. Not this one. Computer Graphics from Scratch takes a simpler approach by keeping the math to a minimum and focusing on only one aspect of computer graphics, 3D rendering. You’ll build two complete, fully functional renderers: a raytracer, which simulates rays of light as they bounce off objects, and a rasterizer, which converts 3D models into 2D pixels. As you progress you’ll learn how to create realistic reflections and shadows, and how to render a scene from any point of view. Pseudocode examples throughout make it easy to write your renderers in any language, and links to live JavaScript demos of each algorithm invite you to explore further on your own. Learn how to: Use perspective projection to draw 3D objects on a 2D plane Simulate the way rays of light interact with surfaces Add mirror-like reflections and cast shadows to objects Render a scene from any camera position using clipping planes Use flat, Gouraud, and Phong shading to mimic real surface lighting Paint texture details onto basic shapes to create realistic-looking objects Whether you’re an aspiring graphics engineer or a novice programmer curious about how graphics algorithms work, Gabriel Gambetta’s simple, clear explanations will quickly put computer graphics concepts and rendering techniques within your reach. All you need is basic coding knowledge and high school math. Computer Graphics from Scratch will cover the rest.

The Shape of Space

Author : Jeffrey R. Weeks
Publisher : CRC Press
Page : 263 pages
File Size : 44,5 Mb
Release : 2001-12-12
Category : Mathematics
ISBN : 9781135542658

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The Shape of Space by Jeffrey R. Weeks Pdf

Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuitive and informal way. Bridging the gap from geometry to the latest work in observational cosmology, the book illustrates the connection between geometry and the behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.

GPU-Based Interactive Visualization Techniques

Author : Daniel Weiskopf
Publisher : Springer Science & Business Media
Page : 318 pages
File Size : 50,7 Mb
Release : 2006-10-13
Category : Mathematics
ISBN : 9783540332633

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GPU-Based Interactive Visualization Techniques by Daniel Weiskopf Pdf

This book presents efficient visualization techniques, a prerequisite for the interactive exploration of complex data sets. High performance is demonstrated as a process of devising algorithms for the fast graphics processing units (GPUs) of modern graphics hardware. Coverage includes parallelization on cluster computers with several GPUs, adaptive rendering methods, and non-photorealistic rendering techniques for visualization.

An Introduction to Ray Tracing

Author : Andrew S. Glassner
Publisher : Elsevier
Page : 368 pages
File Size : 45,8 Mb
Release : 1989-06-01
Category : Computers
ISBN : 9780080499055

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An Introduction to Ray Tracing by Andrew S. Glassner Pdf

The creation of ever more realistic 3-D images is central to the development of computer graphics. The ray tracing technique has become one of the most popular and powerful means by which photo-realistic images can now be created. The simplicity, elegance and ease of implementation makes ray tracing an essential part of understanding and exploiting state-of-the-art computer graphics. An Introduction to Ray Tracing develops from fundamental principles to advanced applications, providing "how-to" procedures as well as a detailed understanding of the scientific foundations of ray tracing. It is also richly illustrated with four-color and black-and-white plates. This is a book which will be welcomed by all concerned with modern computer graphics, image processing, and computer-aided design. Provides practical "how-to" information Contains high quality color plates of images created using ray tracing techniques Progresses from a basic understanding to the advanced science and application of ray tracing

An Introduction to Geometric Topology

Author : Bruno Martelli
Publisher : Createspace Independent Publishing Platform
Page : 0 pages
File Size : 50,9 Mb
Release : 2016
Category : Geometry, Hyperbolic
ISBN : 1539580237

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An Introduction to Geometric Topology by Bruno Martelli Pdf

This book provides a self-contained introduction to the topology and geometry of surfaces and three-manifolds. The main goal is to describe Thurston's geometrisation of three-manifolds, proved by Perelman in 2002. The book is divided into three parts: the first is devoted to hyperbolic geometry, the second to surfaces, and the third to three-manifolds. It contains complete proofs of Mostow's rigidity, the thick-thin decomposition, Thurston's classification of the diffeomorphisms of surfaces (via Bonahon's geodesic currents), the prime and JSJ decomposition, the topological and geometric classification of Seifert manifolds, and Thurston's hyperbolic Dehn filling Theorem.

3D Computer Graphics

Author : Samuel R. Buss
Publisher : Cambridge University Press
Page : 128 pages
File Size : 42,8 Mb
Release : 2003-05-19
Category : Computers
ISBN : 9781139440387

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3D Computer Graphics by Samuel R. Buss Pdf

This textbook, first published in 2003, emphasises the fundamentals and the mathematics underlying computer graphics. The minimal prerequisites, a basic knowledge of calculus and vectors plus some programming experience in C or C++, make the book suitable for self study or for use as an advanced undergraduate or introductory graduate text. The author gives a thorough treatment of transformations and viewing, lighting and shading models, interpolation and averaging, Bézier curves and B-splines, ray tracing and radiosity, and intersection testing with rays. Additional topics, covered in less depth, include texture mapping and colour theory. The book covers some aspects of animation, including quaternions, orientation, and inverse kinematics, and includes source code for a Ray Tracing software package. The book is intended for use along with any OpenGL programming book, but the crucial features of OpenGL are briefly covered to help readers get up to speed. Accompanying software is available freely from the book's web site.

Illustrating Mathematics

Author : Diana Davis
Publisher : American Mathematical Soc.
Page : 171 pages
File Size : 49,8 Mb
Release : 2020-10-16
Category : Education
ISBN : 9781470461225

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Illustrating Mathematics by Diana Davis Pdf

This book is for anyone who wishes to illustrate their mathematical ideas, which in our experience means everyone. It is organized by material, rather than by subject area, and purposefully emphasizes the process of creating things, including discussions of failures that occurred along the way. As a result, the reader can learn from the experiences of those who came before, and will be inspired to create their own illustrations. Topics illustrated within include prime numbers, fractals, the Klein bottle, Borromean rings, tilings, space-filling curves, knot theory, billiards, complex dynamics, algebraic surfaces, groups and prime ideals, the Riemann zeta function, quadratic fields, hyperbolic space, and hyperbolic 3-manifolds. Everyone who opens this book should find a type of mathematics with which they identify. Each contributor explains the mathematics behind their illustration at an accessible level, so that all readers can appreciate the beauty of both the object itself and the mathematics behind it.

Numerical Algorithms

Author : Justin Solomon
Publisher : CRC Press
Page : 400 pages
File Size : 51,5 Mb
Release : 2015-06-24
Category : Computers
ISBN : 9781482251890

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Numerical Algorithms by Justin Solomon Pdf

Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics presents a new approach to numerical analysis for modern computer scientists. Using examples from a broad base of computational tasks, including data processing, computational photography, and animation, the textbook introduces numerical modeling and algorithmic desig