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Author : Michael Mortenson
Publisher : Industrial Press
ISBN 13 : 9780831136550
Total Pages : 350 pages
Book Rating : 4.1/5 (365 download)
Download or read book Vectors and Matrices for Geometric and 3D Modeling written by Michael Mortenson and published by Industrial Press. This book was released on 2020-04-15 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael E. Mortenson
Publisher :
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.3/5 (91 download)
Download or read book Geometric Transformations for 3D Modeling written by Michael E. Mortenson and published by . This book was released on 2007 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written from a mathematical standpoint accessible to students, teachers, and professionals studying or practicing in engineering, mathematics, or physics, the new second edition is a comprehensive introduction to the theory and application of transformations. Presenting the more abstract foundation material in the first three chapters, Geometric Transformations in 3D Modeling reduces the clutter of theoretical derivation and development in the remainder of the text and introduces the operational and more application-oriented tools and concepts as the need arises. It assumes the reader has already taken analytic geometry and first-year calculus and has a working knowledge of basic matrix and vector algebra. This self-contained resource is sure to appeal to those working in 3D modeling, geometric modeling, computer graphics, animation, robotics, and kinematics. Explores and develops the subject in much greater breadth and depth than other books, offering readers a better understanding of transformation theory, the role of invariants, the uses of various notation systems, and the relations between transformations. Describes how geometric objects may change position, orientation, or even shape when subjected to mathematical operations, while properties characterizing their geometric identity and integrity remain unchanged. Presents eigenvalues, eigenvectors, and tensors in a way that makes it easier for readers to understand. Contains revised and improved figures, with many in color to highlight important features. Provides exercises throughout nearly all of the chapters whose answers are found at the end of the book.
Author : Michael E. Mortenson
Publisher :
ISBN 13 :
Total Pages : 536 pages
Book Rating : 4.:/5 (318 download)
Download or read book Geometric Modeling written by Michael E. Mortenson and published by . This book was released on 2006 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Completely updated to include the most recent developments in the field, the third edition like the two previous editions, emphasizes clarity and thoroughness in the mathematical development of its subjects. It is written in a style that is free of jargon of special applications, while integrating the three important functions of geometric modeling: to represent elementary forms (curves, surfaces, and solids), to shape and assemble these into complex forms, and to determine geometric properties and relationships. With hundreds of illustrations, this unique book appeals to the readers visual and intuitive skills in a way that makes it easier to understand its more abstract concepts. Upper-division and graduate students, teachers, and professionals studying, teaching or practicing geometric modeling, 3D modeling, computational geometry, computer graphics applications, animation, CAD/CAM, and related subjects will find this to be a very valuable reference.
Author : Fletcher Dunn
Publisher : CRC Press
ISBN 13 : 1568817231
Total Pages : 848 pages
Book Rating : 4.5/5 (688 download)
Download or read book 3D Math Primer for Graphics and Game Development, 2nd Edition written by Fletcher Dunn and published by CRC Press. This book was released on 2011-11-02 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for game designers, including the fundamentals of coordinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves.
Author : Gerald Farin
Publisher : CRC Press
ISBN 13 : 1439863830
Total Pages : 288 pages
Book Rating : 4.4/5 (398 download)
Download or read book The Geometry Toolbox for Graphics and Modeling written by Gerald Farin and published by CRC Press. This book was released on 2017-07-12 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Geometry Toolbox takes a novel and particularly visual approach to teaching the basic concepts of two- and three-dimensional geometry. It explains the geometry essential for today's computer modeling, computer graphics, and animation systems. While the basic theory is completely covered, the emphasis of the book is not on abstract proofs but rather on examples and algorithms. The Geometry Toolbox is the ideal text for professionals who want to get acquainted with the latest geometric tools. The chapters on basic curves and surfaces form an ideal stepping stone into the world of graphics and modeling. It is also a unique textbook for a modern introduction to linear algebra and matrix theory.
Author : Michael E. Mortenson
Publisher : Industrial Press
ISBN 13 : 9780831133481
Total Pages : pages
Book Rating : 4.1/5 (334 download)
Download or read book Geometric Transformations for 3D Modeling written by Michael E. Mortenson and published by Industrial Press. This book was released on 2007-04 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the ebook version of the printed book. Written from a mathematical standpoint accessible to students, teachers, and professionals studying or practicing in engineering, mathematics, or physics, the new second edition is a comprehensive introduction to the theory and application of transformations. Presenting the more abstract foundation material in the first three chapters, Geometric Transformations in 3D Modeling reduces the clutter of theoretical derivation and development in the remainder of the text and introduces the operational and more application-oriented tools and concepts as the need arises. It assumes the reader has already taken analytic geometry and first-year calculus and has a working knowledge of basic matrix and vector algebra. This self-contained resource is sure to appeal to those working in 3D modeling, geometric modeling, computer graphics, animation, robotics, and kinematics. Explores and develops the subject in much greater breadth and depth than other books, offering readers a better understanding of transformation theory, the role of invariants, the uses of various notation systems, and the relations between transformations. Describes how geometric objects may change position, orientation, or even shape when subjected to mathematical operations, while properties characterizing their geometric identity and integrity remain unchanged. Presents eigenvalues, eigenvectors, and tensors in a way that makes it easier for readers to understand. Contains revised and improved figures, with many in color to highlight important features. Provides exercises throughout nearly all of the chapters whose answers are found at the end of the book.
Author : Scott Stevens
Publisher :
ISBN 13 : 9780984207183
Total Pages : 254 pages
Book Rating : 4.2/5 (71 download)
Download or read book Matrices, Vectors, and 3D Math written by Scott Stevens and published by . This book was released on 2012 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Eric Lengyel
Publisher :
ISBN 13 : 9780357671092
Total Pages : pages
Book Rating : 4.6/5 (71 download)
Download or read book Mathematics for 3D Game Programming and Computer Graphics written by Eric Lengyel and published by . This book was released on 2020-08 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Sooner or later, all game programmers run into coding issues that require an understanding of mathematics or physics concepts such as collision detection, 3D vectors, transformations, game theory, or basic calculus. Unfortunately, most programmers frequently have a limited understanding of these essential mathematics and physics concepts. MATHEMATICS AND PHYSICS FOR PROGRAMMERS, THIRD EDITION provides a simple but thorough grounding in the mathematics and physics topics that programmers require to write algorithms and programs using a non-language-specific approach. Applications and examples from game programming are included throughout, and exercises follow each chapter for additional practice. The book's companion website provides sample code illustrating the mathematical and physics topics discussed in the book.
Author : Samuel R. Buss
Publisher : Cambridge University Press
ISBN 13 : 1139440381
Total Pages : pages
Book Rating : 4.1/5 (394 download)
Download or read book 3D Computer Graphics written by Samuel R. Buss and published by Cambridge University Press. This book was released on 2003-05-19 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Gerald Farin
Publisher : CRC Press
ISBN 13 : 1351991779
Total Pages : 392 pages
Book Rating : 4.3/5 (519 download)
Download or read book The Geometry Toolbox for Graphics and Modeling written by Gerald Farin and published by CRC Press. This book was released on 2017-07-12 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Geometry Toolbox takes a novel and particularly visual approach to teaching the basic concepts of two- and three-dimensional geometry. It explains the geometry essential for today's computer modeling, computer graphics, and animation systems. While the basic theory is completely covered, the emphasis of the book is not on abstract proofs but rather on examples and algorithms. The Geometry Toolbox is the ideal text for professionals who want to get acquainted with the latest geometric tools. The chapters on basic curves and surfaces form an ideal stepping stone into the world of graphics and modeling. It is also a unique textbook for a modern introduction to linear algebra and matrix theory.
Author : Paul Orland
Publisher : Manning Publications
ISBN 13 : 1617295353
Total Pages : 686 pages
Book Rating : 4.6/5 (172 download)
Download or read book Math for Programmers written by Paul Orland and published by Manning Publications. This book was released on 2021-01-12 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Math for Programmers you’ll explore important mathematical concepts through hands-on coding. Filled with graphics and more than 300 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest fields. As you tackle the basics of linear algebra, calculus, and machine learning, you’ll master the key Python libraries used to turn them into real-world software applications. Summary To score a job in data science, machine learning, computer graphics, and cryptography, you need to bring strong math skills to the party. Math for Programmers teaches the math you need for these hot careers, concentrating on what you need to know as a developer. Filled with lots of helpful graphics and more than 200 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest programming fields. Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. About the technology Skip the mathematical jargon: This one-of-a-kind book uses Python to teach the math you need to build games, simulations, 3D graphics, and machine learning algorithms. Discover how algebra and calculus come alive when you see them in code! About the book In Math for Programmers you’ll explore important mathematical concepts through hands-on coding. Filled with graphics and more than 300 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest fields. As you tackle the basics of linear algebra, calculus, and machine learning, you’ll master the key Python libraries used to turn them into real-world software applications. What's inside Vector geometry for computer graphics Matrices and linear transformations Core concepts from calculus Simulation and optimization Image and audio processing Machine learning algorithms for regression and classification About the reader For programmers with basic skills in algebra. About the author Paul Orland is a programmer, software entrepreneur, and math enthusiast. He is co-founder of Tachyus, a start-up building predictive analytics software for the energy industry. You can find him online at www.paulor.land. Table of Contents 1 Learning math with code PART I - VECTORS AND GRAPHICS 2 Drawing with 2D vectors 3 Ascending to the 3D world 4 Transforming vectors and graphics 5 Computing transformations with matrices 6 Generalizing to higher dimensions 7 Solving systems of linear equations PART 2 - CALCULUS AND PHYSICAL SIMULATION 8 Understanding rates of change 9 Simulating moving objects 10 Working with symbolic expressions 11 Simulating force fields 12 Optimizing a physical system 13 Analyzing sound waves with a Fourier series PART 3 - MACHINE LEARNING APPLICATIONS 14 Fitting functions to data 15 Classifying data with logistic regression 16 Training neural networks
Author : Philip Schneider
Publisher : Elsevier
ISBN 13 : 9780080478029
Total Pages : 1056 pages
Book Rating : 4.4/5 (78 download)
Download or read book Geometric Tools for Computer Graphics written by Philip Schneider and published by Elsevier. This book was released on 2002-10-10 with total page 1056 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do you spend too much time creating the building blocks of your graphics applications or finding and correcting errors? Geometric Tools for Computer Graphics is an extensive, conveniently organized collection of proven solutions to fundamental problems that you'd rather not solve over and over again, including building primitives, distance calculation, approximation, containment, decomposition, intersection determination, separation, and more. If you have a mathematics degree, this book will save you time and trouble. If you don't, it will help you achieve things you may feel are out of your reach. Inside, each problem is clearly stated and diagrammed, and the fully detailed solutions are presented in easy-to-understand pseudocode. You also get the mathematics and geometry background needed to make optimal use of the solutions, as well as an abundance of reference material contained in a series of appendices. Features Filled with robust, thoroughly tested solutions that will save you time and help you avoid costly errors. Covers problems relevant for both 2D and 3D graphics programming. Presents each problem and solution in stand-alone form allowing you the option of reading only those entries that matter to you. Provides the math and geometry background you need to understand the solutions and put them to work. Clearly diagrams each problem and presents solutions in easy-to-understand pseudocode. Resources associated with the book are available at the companion Web site www.mkp.com/gtcg. * Filled with robust, thoroughly tested solutions that will save you time and help you avoid costly errors. * Covers problems relevant for both 2D and 3D graphics programming. * Presents each problem and solution in stand-alone form allowing you the option of reading only those entries that matter to you. * Provides the math and geometry background you need to understand the solutions and put them to work. * Clearly diagrams each problem and presents solutions in easy-to-understand pseudocode. * Resources associated with the book are available at the companion Web site www.mkp.com/gtcg.
Author : John Vince
Publisher : Springer Science & Business Media
ISBN 13 : 1846289963
Total Pages : 268 pages
Book Rating : 4.8/5 (462 download)
Download or read book Geometric Algebra for Computer Graphics written by John Vince and published by Springer Science & Business Media. This book was released on 2008-04-21 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric algebra (a Clifford Algebra) has been applied to different branches of physics for a long time but is now being adopted by the computer graphics community and is providing exciting new ways of solving 3D geometric problems. The author tackles this complex subject with inimitable style, and provides an accessible and very readable introduction. The book is filled with lots of clear examples and is very well illustrated. Introductory chapters look at algebraic axioms, vector algebra and geometric conventions and the book closes with a chapter on how the algebra is applied to computer graphics.
Author : Leo Dorst
Publisher : Elsevier
ISBN 13 : 0080553109
Total Pages : 664 pages
Book Rating : 4.0/5 (85 download)
Download or read book Geometric Algebra for Computer Science written by Leo Dorst and published by Elsevier. This book was released on 2010-07-26 with total page 664 pages. 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
Author : Michael E. Mortenson
Publisher : Industrial Press Inc.
ISBN 13 : 9780831131111
Total Pages : 372 pages
Book Rating : 4.1/5 (311 download)
Download or read book Mathematics for Computer Graphics Applications written by Michael E. Mortenson and published by Industrial Press Inc.. This book was released on 1999 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mathematics for Computer Graphics Applications is written for several audiences: for college students majoring in computer science, engineering, or applied mathematics and science, whose special interests are in computer graphics, CAD/CAM, geometric modeling, visualization, or related subjects; for industry and government on-the-job training of employees whose skills can be profitably expanded into these areas; and for the professional working in these fields in need of a comprehensive reference and skills refresher."--BOOK JACKET.
Author : Anthony J. Pettofrezzo
Publisher : Courier Corporation
ISBN 13 : 0486151808
Total Pages : 225 pages
Book Rating : 4.4/5 (861 download)
Download or read book Matrices and Transformations written by Anthony J. Pettofrezzo and published by Courier Corporation. This book was released on 2012-05-04 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an elementary and concrete approach to linear algebra that is both useful and essential for the beginning student and teacher of mathematics. Here are the fundamental concepts of matrix algebra, first in an intuitive framework and then in a more formal manner. A Variety of interpretations and applications of the elements and operations considered are included. In particular, the use of matrices in the study of transformations of the plane is stressed. The purpose of this book is to familiarize the reader with the role of matrices in abstract algebraic systems, and to illustrate its effective use as a mathematical tool in geometry. The first two chapters cover the basic concepts of matrix algebra that are important in the study of physics, statistics, economics, engineering, and mathematics. Matrices are considered as elements of an algebra. The concept of a linear transformation of the plane and the use of matrices in discussing such transformations are illustrated in Chapter #. Some aspects of the algebra of transformations and its relation to the algebra of matrices are included here. The last chapter on eigenvalues and eigenvectors contains material usually not found in an introductory treatment of matrix algebra, including an application of the properties of eigenvalues and eigenvectors to the study of the conics. Considerable attention has been paid throughout to the formulation of precise definitions and statements of theorems. The proofs of most of the theorems are included in detail in this book. Matrices and Transformations assumes only that the reader has some understanding of the basic fundamentals of vector algebra. Pettofrezzo gives numerous illustrative examples, practical applications, and intuitive analogies. There are many instructive exercises with answers to the odd-numbered questions at the back. The exercises range from routine computations to proofs of theorems that extend the theory of the subject. Originally written for a series concerned with the mathematical training of teachers, and tested with hundreds of college students, this book can be used as a class or supplementary text for enrichments programs at the high school level, a one-semester college course, individual study, or for in-service programs.
Author : Siemen Lens
Publisher : Packt Publishing Ltd
ISBN 13 : 1804616079
Total Pages : 283 pages
Book Rating : 4.8/5 (46 download)
Download or read book Procedural 3D Modeling Using Geometry Nodes in Blender written by Siemen Lens and published by Packt Publishing Ltd. This book was released on 2023-03-17 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: An easy-to-follow, illustrated guide to learning the geometry nodes editor and various other facets of geometry nodes through simple exercises that progress to more challenging projects Purchase of the print or Kindle book includes a free PDF eBook Key Features Develop a creative mathematical thinking of the modeling workflow Understand how Blender and geometry nodes store and manage the data that you are handling Learn different scatter methods and how to use them Book DescriptionFor anyone working in the computer graphics industry, understanding how to use Blender’s new geometry nodes tools to manipulate and generate 3D geometry in a node-based workflow is an essential skill. In this book, you’ll learn how to use the basic and intermediate features of geometry nodes that are a crucial part of your Blender roadmap. You’ll start by understanding the different node inputs and outputs followed by the basic nodes you’ll need throughout your geometry nodes projects. The book will show you how the node system works and enable you to put your newfound knowledge to use through exercises that involve modifying curves, meshes, and more. You’ll work on a range of interesting projects such as creating a procedural plant, where you’ll use nodes to generate the intricate details and variations of a plant in a procedural manner, and a spiderweb generator to refine your skills of cleaning up a node tree. Finally, you’ll build a procedural LED panel using geometry nodes to generate the look of an LED panel. By the end of this book, you’ll be able to overcome any geometry node issue confidently and make complicated geometry node trees exactly how you need them.What you will learn Discover the different node inputs and outputs that geometry nodes have to offer Get the hang of the flow of the geometry node system Understand the common nodes you’ll be using along with their functions in the geometry node editor Modify basic mesh primitives using the node system inside Blender Scatter and modify objects aligned onto a curve Become familiar with the more advanced nodes in the geometry nodes system Link geometry and material nodes editors using named attributes Implement your new-found knowledge of nodes in real-world projects Who this book is for If you are a CG Artist or follow modeling careers like that of an environment artist or even a CG generalist in the cinematography industry and you are looking to get into learning a node-based modeling workflow using Geometry Nodes in Blender, this is the perfect book for you. You will need a basic knowledge of the fundamentals of Blender, for example, knowing the specific workflow of material nodes and being able to apply this knowledge to your projects. To get the most out of this book, you should have a basic understanding of Blender's shortcut system and some modeling experience.
