Geometric Transformations For 3d Modeling

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Geometric Transformations for 3D Modeling

Author : Michael E. Mortenson
Publisher :
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Geometric Transformations for 3D Modeling by : Michael E. Mortenson

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.

Geometric Transformations for 3D Modeling

Author : Michael E. Mortenson
Publisher : Industrial Press
ISBN 13 : 9780831133481
Total Pages : pages
Book Rating : 4.1/5 (334 download)

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Book Synopsis Geometric Transformations for 3D Modeling by : Michael E. Mortenson

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.

Vectors and Matrices for Geometric and 3D Modeling

Author : Michael Mortenson
Publisher : Industrial Press
ISBN 13 : 9780831136550
Total Pages : 350 pages
Book Rating : 4.1/5 (365 download)

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Book Synopsis Vectors and Matrices for Geometric and 3D Modeling by : Michael Mortenson

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:

Geometric Modeling

Author : Michael E. Mortenson
Publisher :
ISBN 13 :
Total Pages : 536 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Geometric Modeling by : Michael E. Mortenson

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.

3D Modeling, Animation and Rendering

Author : Michael E. Mortenson
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781453728482
Total Pages : 0 pages
Book Rating : 4.7/5 (284 download)

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Book Synopsis 3D Modeling, Animation and Rendering by : Michael E. Mortenson

Download or read book 3D Modeling, Animation and Rendering written by Michael E. Mortenson and published by Createspace Independent Publishing Platform. This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Presents definitions for over 1200 terms, including terms from many related subjects, such as computer-aided design, cinematography, light, physics, natural behaviors, and atmospheric phenomena. It was written for students, teachers, and professionals, as well as for lay readers who want a broader understanding of the tools and concepts involved."--Backcover.

Computer Graphics and Geometric Modeling

Author : David Salomon
Publisher : Springer Science & Business Media
ISBN 13 : 1461215048
Total Pages : 862 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Computer Graphics and Geometric Modeling by : David Salomon

Download or read book Computer Graphics and Geometric Modeling written by David Salomon and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 862 pages. Available in PDF, EPUB and Kindle. Book excerpt: A book for those interested in how modern graphics programs work and how they can generate realistic-looking objects. It emphasises the mathematics behind computer graphics, most of which is included in an appendix. The main topics covered are: scan conversion methods; selecting the best pixels for generating lines, circles and other objects; geometric transformations and projections; translations, rotations, moving in 3D, perspective projections, curves and surfaces; construction, wire-frames, rendering, normals; CRTs, antialiasing, animation, colour, perception, polygons, compression. With its numerous illustrative examples and exercises, the book is ideal for a two-semester course for advanced undergraduates or graduates, while also making a fine reference for professionals in the field.

The Geometry Toolbox for Graphics and Modeling

Author : Gerald Farin
Publisher : CRC Press
ISBN 13 : 1439863830
Total Pages : 288 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis The Geometry Toolbox for Graphics and Modeling by : Gerald Farin

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.

Geometric Modeling and Mesh Generation from Scanned Images

Author : Yongjie Jessica Zhang
Publisher : CRC Press
ISBN 13 : 1315360225
Total Pages : 197 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis Geometric Modeling and Mesh Generation from Scanned Images by : Yongjie Jessica Zhang

Download or read book Geometric Modeling and Mesh Generation from Scanned Images written by Yongjie Jessica Zhang and published by CRC Press. This book was released on 2018-09-03 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cutting-Edge Techniques to Better Analyze and Predict Complex Physical Phenomena Geometric Modeling and Mesh Generation from Scanned Images shows how to integrate image processing, geometric modeling, and mesh generation with the finite element method (FEM) to solve problems in computational biology, medicine, materials science, and engineering. Based on the author’s recent research and course at Carnegie Mellon University, the text explains the fundamentals of medical imaging, image processing, computational geometry, mesh generation, visualization, and finite element analysis. It also explores novel and advanced applications in computational biology, medicine, materials science, and other engineering areas. One of the first to cover this emerging interdisciplinary field, the book addresses biomedical/material imaging, image processing, geometric modeling and visualization, FEM, and biomedical and engineering applications. It introduces image-mesh-simulation pipelines, reviews numerical methods used in various modules of the pipelines, and discusses several scanning techniques, including ones to probe polycrystalline materials. The book next presents the fundamentals of geometric modeling and computer graphics, geometric objects and transformations, and curves and surfaces as well as two isocontouring methods: marching cubes and dual contouring. It then describes various triangular/tetrahedral and quadrilateral/hexahedral mesh generation techniques. The book also discusses volumetric T-spline modeling for isogeometric analysis (IGA) and introduces some new developments of FEM in recent years with applications.

3D Computer Graphics

Author : Samuel R. Buss
Publisher : Cambridge University Press
ISBN 13 : 1139440381
Total Pages : 397 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis 3D Computer Graphics by : Samuel R. Buss

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 397 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.

Geometric Transformations

Author : Isaak Moiseevich I︠A︡glom
Publisher :
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Geometric Transformations by : Isaak Moiseevich I︠A︡glom

Download or read book Geometric Transformations written by Isaak Moiseevich I︠A︡glom and published by . This book was released on 1962 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:

3D Modeling, Animation, and Rendering

Author : Michael E. Mortenson
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781453754900
Total Pages : 0 pages
Book Rating : 4.7/5 (549 download)

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Book Synopsis 3D Modeling, Animation, and Rendering by : Michael E. Mortenson

Download or read book 3D Modeling, Animation, and Rendering written by Michael E. Mortenson and published by Createspace Independent Publishing Platform. This book was released on 2010-08-22 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 3D Modeling, Animation, and Rendering: An Illustrated Lexicon, Black and White Edition presents definitions for over 1200 terms, with hundreds of illustrations. The lexicon includes terms from many related subjects, such as CAD, CAD/CAM, cinematography, light, physics, natural behaviors, and atmospheric phenomena. It was written for students, teachers, and professionals, as well as for lay readers who want a broader understanding of the tools and concepts involved. Terms related to 3D modeling include bicubic surface, constructive solid geometry, intersection, mesh optimization, polygonization, ruled surface, and spline. Terms related to animation include character rigging, flash animation, keyframing, lattice animation, light animation, motion capture, onion skinning, skeletal animation, storyboard, and velocity curve. Animation and rendering often encompass techniques from cinematography, including lighting, camera work, and mood-setting atmospherics. Terms related to these major subjects and rendering itself include ambient light, beauty pass, caustics, color models, crane shot, Dutch angle, Gouraud shading model, graphics pipeline, lead room, matting, montage, photon mapping, ray casting, ray tracing, reflection pass, shutter angle, and wipe. Some of the key terms refer to other sources for more in-depth coverage of the topic.

3D Math Primer for Graphics and Game Development, 2nd Edition

Author : Fletcher Dunn
Publisher : CRC Press
ISBN 13 : 1568817231
Total Pages : 848 pages
Book Rating : 4.5/5 (688 download)

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Book Synopsis 3D Math Primer for Graphics and Game Development, 2nd Edition by : Fletcher Dunn

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.

Foundations of 3D Computer Graphics

Author : Steven J. Gortler
Publisher : MIT Press
ISBN 13 : 0262017350
Total Pages : 291 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Foundations of 3D Computer Graphics by : Steven J. Gortler

Download or read book Foundations of 3D Computer Graphics written by Steven J. Gortler and published by MIT Press. This book was released on 2012-07-13 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the basic concepts of 3D computer graphics that offers a careful mathematical exposition within a modern computer graphics application programming interface. Computer graphics technology is an amazing success story. Today, all of our PCs are capable of producing high-quality computer-generated images, mostly in the form of video games and virtual-life environments; every summer blockbuster movie includes jaw-dropping computer generated special effects. This book explains the fundamental concepts of 3D computer graphics. It introduces the basic algorithmic technology needed to produce 3D computer graphics, and covers such topics as understanding and manipulating 3D geometric transformations, camera transformations, the image-rendering process, and materials and texture mapping. It also touches on advanced topics including color representations, light simulation, dealing with geometric representations, and producing animated computer graphics. The book takes special care to develop an original exposition that is accessible and concise but also offers a clear explanation of the more difficult and subtle mathematical issues. The topics are organized around a modern shader-based version of OpenGL, a widely used computer graphics application programming interface that provides a real-time “rasterization-based” rendering environment. Each chapter concludes with exercises. The book is suitable for a rigorous one-semester introductory course in computer graphics for upper-level undergraduates or as a professional reference. Readers should be moderately competent programmers and have had some experience with linear algebra. After mastering the material presented, they will be on the path to expertise in an exciting and challenging field.

Geometric functions in computer aided geometric design

Author : Oscar Ruiz
Publisher : Universidad EAFIT
ISBN 13 : 9587200160
Total Pages : 153 pages
Book Rating : 4.5/5 (872 download)

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Book Synopsis Geometric functions in computer aided geometric design by : Oscar Ruiz

Download or read book Geometric functions in computer aided geometric design written by Oscar Ruiz and published by Universidad EAFIT. This book was released on 2020-06-24 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is usual that existing material on computer aided geometric design oscillates between over-simplification for programmers and practitioners and over formalism for scientific or academic readers. The first type of publications suppresses the taxonomy and properties of the mathematical concepts discussed when seeking straightforward notation and procedures. The second type of materials in thorough in the mathematical concepts at the expense of increasingly complicated notation and sacrifice of clear procedures for the reader.This book intends to be a compromise between the aforementioned extremes. It recalls basic concepts on functions, relations, transformations, matrices and groups and makes evident their impact in the engineering properties of projections, rotations, translations, perspectives, and so on. The material is of interest for computer scientists and electrical, mechanical, production, mathematical and physics engineers. In particular, it gives valuable insight into robotics, computer vision, design, manufacturing, kinematics and dynamics from a practical point of view while keeping contact whit the underlying decisive mathematical properties of the objects and transformations handled.The exercises and examples discussed in this book were stated, solved, documented and illustrated under the supervision of professors Oscar Ruiz and Carlos Cadavid during the years 2004 to 2007. Scenarios for such a work were the courses introduction to CAD CAM Systems and Geometric Modeling and the activities in the CAD CAM CAE laboratory at EAFIT University.This book intends to be a compromise between the aforementioned extremes. It recalls basic concepts on functions, relations, transformations, matrices and groups and makes evident their impact in the engineering properties of projections, rotations, translations, perspectives, and so on. The material is of interest for computer scientists and electrical, mechanical, production, mathematical and physics engineers. In particular, it gives valuable insight into robotics, computer vision, design, manufacturing, kinematics and dynamics from a practical point of view while keeping contact whit the underlying decisive mathematical properties of the objects and transformations handled.The exercises and examples discussed in this book were stated, solved, documented and illustrated under the supervision of professors Oscar Ruiz and Carlos Cadavid during the years 2004 to 2007. Scenarios for such a work were the courses introduction to CAD CAM Systems and Geometric Modeling and the activities in the CAD CAM CAE laboratory at EAFIT University.The exercises and examples discussed in this book were stated, solved, documented and illustrated under the supervision of professors Oscar Ruiz and Carlos Cadavid during the years 2004 to 2007. Scenarios for such a work were the courses introduction to CAD CAM Systems and Geometric Modeling and the activities in the CAD CAM CAE laboratory at EAFIT University.

Modeling of Curves and Surfaces with MATLAB®

Author : Vladimir Rovenski
Publisher : Springer Science & Business Media
ISBN 13 : 0387712771
Total Pages : 463 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Modeling of Curves and Surfaces with MATLAB® by : Vladimir Rovenski

Download or read book Modeling of Curves and Surfaces with MATLAB® written by Vladimir Rovenski and published by Springer Science & Business Media. This book was released on 2010-06-10 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text on geometry is devoted to various central geometrical topics including: graphs of functions, transformations, (non-)Euclidean geometries, curves and surfaces as well as their applications in a variety of disciplines. This book presents elementary methods for analytical modeling and demonstrates the potential for symbolic computational tools to support the development of analytical solutions. The author systematically examines several powerful tools of MATLAB® including 2D and 3D animation of geometric images with shadows and colors and transformations using matrices. With over 150 stimulating exercises and problems, this text integrates traditional differential and non-Euclidean geometries with more current computer systems in a practical and user-friendly format. This text is an excellent classroom resource or self-study reference for undergraduate students in a variety of disciplines.

Geometric Algebra for Computer Science

Author : Leo Dorst
Publisher : Elsevier
ISBN 13 : 0080553109
Total Pages : 664 pages
Book Rating : 4.0/5 (85 download)

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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 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

Systems, Patterns and Data Engineering with Geometric Calculi

Author : Sebastià Xambó-Descamps
Publisher : Springer Nature
ISBN 13 : 3030744868
Total Pages : 179 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Systems, Patterns and Data Engineering with Geometric Calculi by : Sebastià Xambó-Descamps

Download or read book Systems, Patterns and Data Engineering with Geometric Calculi written by Sebastià Xambó-Descamps and published by Springer Nature. This book was released on 2021-07-16 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intention of this collection agrees with the purposes of the homonymous mini-symposium (MS) at ICIAM-2019, which were to overview the essentials of geometric calculus (GC) formalism, to report on state-of-the-art applications showcasing its advantages and to explore the bearing of GC in novel approaches to deep learning. The first three contributions, which correspond to lectures at the MS, offer perspectives on recent advances in the application GC in the areas of robotics, molecular geometry, and medical imaging. The next three, especially invited, hone the expressiveness of GC in orientation measurements under different metrics, the treatment of contact elements, and the investigation of efficient computational methodologies. The last two, which also correspond to lectures at the MS, deal with two aspects of deep learning: a presentation of a concrete quaternionic convolutional neural network layer for image classification that features contrast invariance and a general overview of automatic learning aimed at steering the development of neural networks whose units process elements of a suitable algebra, such as a geometric algebra. The book fits, broadly speaking, within the realm of mathematical engineering, and consequently, it is intended for a wide spectrum of research profiles. In particular, it should bring inspiration and guidance to those looking for materials and problems that bridge GC with applications of great current interest, including the auspicious field of GC-based deep neural networks.