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Linear Geometry with Computer Graphics

1992-12-16 Mathematics
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Release : 1992-12-16
Genre : Mathematics
Kind : eBook
Book Rating : 988/5 ( reviews)

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Book Synopsis Linear Geometry with Computer Graphics by : John Loustau

Download or read book Linear Geometry with Computer Graphics written by John Loustau. This book was released on 1992-12-16. Available in PDF, EPUB and Kindle. Book excerpt: Stressing the interplay between theory and its practice, this text presents the construction of linear models that satisfy geometric postulate systems and develops geometric topics in computer graphics. It includes a computer graphics utility library of specialized subroutines on a 3.5 disk, designed for use with Turbo PASCAL 4.0 (or later version) - an effective means of computer-aided instruction for writing graphics problems.;Providing instructors with maximum flexibility that allows for the mathematics or computer graphics sections to be taught independently, this book: reviews linear algebra and notation, focusing on ideas of geometric significance that are often omitted in general purpose linear algebra courses; develops symmetric bilinear forms through classical results, including the inertia theorem, Witt's cancellation theorem and the unitary diagonalization of symmetric matrices; examines the Klein Erlanger programm, constructing models of geometries, and studying associated transformation groups; clarifies how to construct geometries from groups, encompassing topological notions; and introduces topics in computer graphics, including geometric modeling, surface rendering and transformation groups.

Geometric Algebra for Computer Science

2010-07-26 Juvenile Nonfiction
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Release : 2010-07-26
Genre : Juvenile Nonfiction
Kind : eBook
Book Rating : 109/5 ( reviews)

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Book Synopsis Geometric Algebra for Computer Science by : Leo Dorst

Download or read book Geometric Algebra for Computer Science written by Leo Dorst. This book was released on 2010-07-26. Available in PDF, EPUB and Kindle. Book excerpt: 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

Applied Geometry for Computer Graphics and CAD

2006-03-30 Computers
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Release : 2006-03-30
Genre : Computers
Kind : eBook
Book Rating : 091/5 ( reviews)

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Book Synopsis Applied Geometry for Computer Graphics and CAD by : Duncan Marsh

Download or read book Applied Geometry for Computer Graphics and CAD written by Duncan Marsh. This book was released on 2006-03-30. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the manipulation and representation of geometrical objects, this book explores the application of geometry to computer graphics and computer-aided design (CAD). Over 300 exercises are included, some new to this edition, and many of which encourage the reader to implement the techniques and algorithms discussed through the use of a computer package with graphing and computer algebra capabilities. A dedicated website also offers further resources and useful links.

Computational Geometry and Computer Graphics in C++

1996 Computers
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Release : 1996
Genre : Computers
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Computational Geometry and Computer Graphics in C++ by : Michael Jay Laszlo

Download or read book Computational Geometry and Computer Graphics in C++ written by Michael Jay Laszlo. This book was released on 1996. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an accessible introduction to methods in computational geometry and computer graphics. It emphasizes the efficient object-oriented implemenation of geometric methods with useable C++ code for all methods discussed.

When Life is Linear

2015-01-07 Computers
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Release : 2015-01-07
Genre : Computers
Kind : eBook
Book Rating : 492/5 ( reviews)

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Book Synopsis When Life is Linear by : Tim Chartier

Download or read book When Life is Linear written by Tim Chartier. This book was released on 2015-01-07. Available in PDF, EPUB and Kindle. Book excerpt: From simulating complex phenomenon on supercomputers to storing the coordinates needed in modern 3D printing, data is a huge and growing part of our world. A major tool to manipulate and study this data is linear algebra. When Life is Linear introduces concepts of matrix algebra with an emphasis on application, particularly in the fields of computer graphics and data mining. Readers will learn to make an image transparent, compress an image and rotate a 3D wireframe model. In data mining, readers will use linear algebra to read zip codes on envelopes and encrypt sensitive information. Chartier details methods behind web search, utilized by such companies as Google, and algorithms for sports ranking which have been applied to creating brackets for March Madness and predict outcomes in FIFA World Cup soccer. The book can serve as its own resource or to supplement a course on linear algebra.

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