GEOMETRIC ALGEBRA FOR COMPUTER SCIENCE REVISED EDITION AN OBJECT ORIENTED APPROACH TO GEOMETRY THE MORGAN KAUFMANN SERIES IN COMPUTER GRAPHICS

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Geometric Algebra For Computer Science

Author : Leo Dorst
ISBN : 9780080553108
Genre : Computers
File Size : 50.49 MB
Format : PDF, ePub, Docs
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Until recently, almost all of the interactions between objects in virtual 3D worlds have been based on calculations performed using linear algebra. Linear algebra relies heavily on coordinates, however, which can make many geometric programming tasks very specific and complex-often a lot of effort is required to bring about even modest performance enhancements. Although linear algebra is an efficient way to specify low-level computations, it is not a suitable high-level language for geometric programming. Geometric Algebra for Computer Science presents a compelling alternative to the limitations of linear algebra. Geometric algebra, or GA, is a compact, time-effective, and performance-enhancing way to represent the geometry of 3D objects in computer programs. In this book you will find an introduction to GA that will give you a strong grasp of its relationship to linear algebra and its significance for your work. You will learn how to use GA to represent objects and perform geometric operations on them. And you will begin mastering proven techniques for making GA an integral part of your applications in a way that simplifies your code without slowing it down. * The first book on Geometric Algebra for programmers in computer graphics and entertainment computing * Written by leaders in the field providing essential information on this new technique for 3D graphics * This full colour book includes a website with GAViewer, a program to experiment with GA
Category: Computers

Topological And Statistical Methods For Complex Data

Author : Janine Bennett
ISBN : 9783662449004
Genre : Mathematics
File Size : 21.11 MB
Format : PDF, Docs
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This book contains papers presented at the Workshop on the Analysis of Large-scale, High-Dimensional, and Multi-Variate Data Using Topology and Statistics, held in Le Barp, France, June 2013. It features the work of some of the most prominent and recognized leaders in the field who examine challenges as well as detail solutions to the analysis of extreme scale data. The book presents new methods that leverage the mutual strengths of both topological and statistical techniques to support the management, analysis, and visualization of complex data. It covers both theory and application and provides readers with an overview of important key concepts and the latest research trends. Coverage in the book includes multi-variate and/or high-dimensional analysis techniques, feature-based statistical methods, combinatorial algorithms, scalable statistics algorithms, scalar and vector field topology, and multi-scale representations. In addition, the book details algorithms that are broadly applicable and can be used by application scientists to glean insight from a wide range of complex data sets.
Category: Mathematics

Intelligent Robotics And Applications

Author : Xianmin Zhang
ISBN : 9783319139661
Genre : Computers
File Size : 31.26 MB
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This two volume set LNAI 8917 and 8918 constitutes the refereed proceedings of the 7th International Conference on Intelligent Robotics and Applications, ICIRA 2014, held in Guangzhou, China, in December 2014. The 109 revised full papers presented were carefully reviewed and selected from 159 submissions. The papers aim at enhancing the sharing of individual experiences and expertise in intelligent robotics with particular emphasis on technical challenges associated with varied applications such as biomedical applications, industrial automations, surveillance, and sustainable mobility.
Category: Computers

Geometric Algebra Computing

Author : Eduardo Bayro Corrochano
ISBN : 9781849961080
Genre : Computers
File Size : 46.78 MB
Format : PDF, Docs
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This useful text offers new insights and solutions for the development of theorems, algorithms and advanced methods for real-time applications across a range of disciplines. Its accessible style is enhanced by examples, figures and experimental analysis.
Category: Computers

An Integrated Introduction To Computer Graphics And Geometric Modeling

Author : Ronald Goldman
ISBN : 9781439803356
Genre : Computers
File Size : 62.9 MB
Format : PDF, ePub
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Taking a novel, more appealing approach than current texts, An Integrated Introduction to Computer Graphics and Geometric Modeling focuses on graphics, modeling, and mathematical methods, including ray tracing, polygon shading, radiosity, fractals, freeform curves and surfaces, vector methods, and transformation techniques. The author begins with fractals, rather than the typical line-drawing algorithms found in many standard texts. He also brings the turtle back from obscurity to introduce several major concepts in computer graphics. Supplying the mathematical foundations, the book covers linear algebra topics, such as vector geometry and algebra, affine and projective spaces, affine maps, projective transformations, matrices, and quaternions. The main graphics areas explored include reflection and refraction, recursive ray tracing, radiosity, illumination models, polygon shading, and hidden surface procedures. The book also discusses geometric modeling, including planes, polygons, spheres, quadrics, algebraic and parametric curves and surfaces, constructive solid geometry, boundary files, octrees, interpolation, approximation, Bezier and B-spline methods, fractal algorithms, and subdivision techniques. Making the material accessible and relevant for years to come, the text avoids descriptions of current graphics hardware and special programming languages. Instead, it presents graphics algorithms based on well-established physical models of light and cogent mathematical methods.
Category: Computers

Ebene Algebraische Kurven

Author : Gerd Fischer
ISBN : 9783322803115
Genre : Mathematics
File Size : 62.90 MB
Format : PDF
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Neben den elementaren Dingen, wie Tangenten, Singularitäten und Wendepunkten werden auch schwierigere Begriffe wie lokale Zweige und Geschlecht behandelt. Höhepunkte sind die klassischen Formeln von Plücker und Clebsch, die Beziehungen zwischen verschiedenen globalen und lokalen Invarianten einer Kurve beschreiben.
Category: Mathematics

Computer Vision

Author : Reinhard Klette
ISBN : 9783663119999
Genre : Technology & Engineering
File Size : 67.2 MB
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Dieses Lehrbuch behandelt die Grundlagen, Algorithmen und Anwendungen eines Teilbereichs der digitalen Bildverarbeitung: die Szenenanalyse bzw. die 3D-Bildanalyse. Methoden der Bildbearbeitung und der Musteranalyse stellen Werkzeuge dar, um aus den Bildinformationen von dreidimensionalen Objekten Ausgangsdaten für die Bildinterpretation zu erzeugen.
Category: Technology & Engineering

Methoden Der Computeranimation

Author : Dietmar Jackèl
ISBN : 9783540334071
Genre : Computers
File Size : 27.98 MB
Format : PDF, Kindle
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Das Buch richtet sich an eine Leserschaft, die bereits Grundkenntnisse in der Computergrafik hat. Vorwiegend ist hierbei an Studenten der Informatik gedacht, die bereits eine Computeranimationsvorlesung belegt haben oder die ein vertieftes Interesse an diesem Gebiet besitzen. Neben einem Überblick über die relevanten Themen der Computeranimation wurde ein besonderes Schwergewicht auf die physikalisch-basierten Animationsmethoden gelegt. Zum einfacheren Verständnis, speziell der physikalisch-basierten Methoden, sind allerdings Grundkenntnisse in der Physik sowie in der Analysis sehr hilfreich. Das Buch zeichnet sich im Besonderen dadurch aus, dass es auch exemplarisch wichtige Details einiger Animationsmethoden behandelt, die deren Implementierungen erleichtern.
Category: Computers

Klassische Elektrodynamik

Author : John David Jackson
ISBN : 9783110334470
Genre : Science
File Size : 25.4 MB
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The German translation of this classic of theoretical physics is now available in a further revised edition. This renders theoretical electrodynamics even more comprehensible than before. Unique to this textbook of electrodynamics are the incomparably large number of calculated examples and special cases and the many exercises at the end of each chapter.
Category: Science