Geometric Transformations For 3d Modeling

Author : Michael E. Mortenson
Publisher : Unknown
Page : 376 pages
File Size : 54,6 Mb
Release : 2007
Category : Computers
ISBN : UOM:39015070694479

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Geometric Transformations for 3D Modeling by Michael E. Mortenson Pdf

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 : Industrial Press
Page : 128 pages
File Size : 49,7 Mb
Release : 2007-04
Category : Mathematics
ISBN : 0831133481

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Geometric Transformations for 3D Modeling by Michael E. Mortenson Pdf

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 : Michael Mortenson
Publisher : Industrial Press
Page : 350 pages
File Size : 50,9 Mb
Release : 2020-04-15
Category : Technology & Engineering
ISBN : 0831136553

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Vectors and Matrices for Geometric and 3D Modeling by Michael Mortenson Pdf

Author : David Salomon
Publisher : Springer Science & Business Media
Page : 862 pages
File Size : 49,9 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461215042

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Computer Graphics and Geometric Modeling by David Salomon Pdf

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.

Author : Michael E. Mortenson
Publisher : Unknown
Page : 536 pages
File Size : 50,6 Mb
Release : 2006
Category : Computers
ISBN : UCSD:31822034403907

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Geometric Modeling by Michael E. Mortenson Pdf

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 : Michael E. Mortenson
Publisher : Createspace Independent Publishing Platform
Page : 0 pages
File Size : 49,5 Mb
Release : 2010
Category : Computer animation
ISBN : 1453728481

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3D Modeling, Animation and Rendering by Michael E. Mortenson Pdf

"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.

Author : Michael E. Mortenson
Publisher : Createspace Independent Publishing Platform
Page : 0 pages
File Size : 55,9 Mb
Release : 2010-08-22
Category : Electronic
ISBN : 1453754903

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3D Modeling, Animation, and Rendering by Michael E. Mortenson Pdf

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.

Author : Nikos Sarris,Michael G. Strintzis
Publisher : IGI Global
Page : 410 pages
File Size : 49,9 Mb
Release : 2005-01-01
Category : Computers
ISBN : 1591402999

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3D Modeling and Animation by Nikos Sarris,Michael G. Strintzis Pdf

3D Modeling and Animation: Synthesis and Analysis Techniques for the Human Body covers the areas of modeling and animating 3D synthetic human models at a level that is useful to students, researchers, software developers and content generators. The reader will be presented with the latest, research-level, techniques for the analysis and synthesis of still and moving human bodies, with particular emphasis in facial and gesture characteristics.

Author : Oscar Ruiz,Carlos Cadavid
Publisher : Universidad EAFIT
Page : 153 pages
File Size : 55,5 Mb
Release : 2020-06-24
Category : Mathematics
ISBN : 9789587200164

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Geometric functions in computer aided geometric design by Oscar Ruiz,Carlos Cadavid Pdf

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.

Author : Sebastià Xambó-Descamps
Publisher : Springer Nature
Page : 179 pages
File Size : 50,6 Mb
Release : 2021-07-16
Category : Mathematics
ISBN : 9783030744861

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Systems, Patterns and Data Engineering with Geometric Calculi by Sebastià Xambó-Descamps Pdf

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.

Author : Anonim
Publisher : PediaPress
Page : 363 pages
File Size : 55,9 Mb
Release : 2024-06-26
Category : Electronic
ISBN : 8210379456XXX

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3D Rendering by Anonim Pdf

Author : Gerald Farin,Dianne Hansford
Publisher : CRC Press
Page : 288 pages
File Size : 51,9 Mb
Release : 2017-07-12
Category : Computers
ISBN : 9781439863831

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The Geometry Toolbox for Graphics and Modeling by Gerald Farin,Dianne Hansford Pdf

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 : Frank Melendez
Publisher : John Wiley & Sons
Page : 352 pages
File Size : 50,9 Mb
Release : 2019-03-06
Category : Architecture
ISBN : 9781119115649

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Drawing from the Model by Frank Melendez Pdf

Bridges the gap between traditional and contemporary methods of creating architectural design drawings and 3D models through the use of digital tools and computational processes This book provides readers with an overview of traditional and contemporary architectural representation methods and offers insight into significant developments in computing as they apply to architectural drawing and modeling. It offers readers a look into recent developments in technologies that have impacted architectural design and representation workflows, and focuses on digital design software used in higher education and industry, including Robert McNeel & Associates Rhinoceros® (Rhino 6 for Windows), Grasshopper®, and Adobe Illustrator® CC. The book covers fundamental methods for digital drawing, 3D modeling, and visual programming through descriptions, examples, and tutorial-based instructions specific to the production of digital design drawings and graphics. Drawing from the Model: Fundamentals of Digital Drawing, 3D Modeling, and Visual Programming in Architectural Design presents beginning architectural design students and professionals with a broad overview of drawing and modeling in architectural representation, by addressing historical analog methods based on descriptive geometry and projection and transitioning to contemporary digital methods based on computational processes and emerging technologies. The book focuses on digital tools, techniques, and workflows for the production of design drawings; plans, sections, elevations, axonometrics, and perspectives, utilizing contemporary, cutting-edge 2D drawing and 3D modeling, design software. Additionally, visual programming is introduced to address topics of parametric modeling, algorithmic design, computational simulations, physical computing, and robotics, as methods for exploring architectural design and experimental drawing processes. Sections cover Architectural Representation and Digital Technologies; The 3D Modeling Environment and Geometry; Architectural Design Drawings and Graphics; and Computational Design. It features an appendix filled with 10 design drawing and 3D modeling exercises intended as educational and pedagogical examples for readers to practice and/or teach workflows that are addressed in the book. Acts as an important bridge between analog hand-drawing and digital design drawing techniques, with examples of traditional and contemporary architectural design drawings Provides comprehensive coverage of architectural representation, computing, computer-aided drafting, and 3D modeling tools, techniques, and workflows, for contemporary architectural design drawing aesthetics and graphics Introduces topics of parametric modeling, algorithmic design, computational simulation, physical computing, and robotics through visual programming environments and processes Features tutorial-based instruction using the latest versions of Rhino 6 for Windows, Grasshopper®, Adobe Illustrator® CC, and Arduino Drawing from the Model will serve as an excellent resource for beginning architectural design students in higher education and as a helpful reference for professionals in practice, teaching readers beginning and intermediate digital representation methods for the production of architectural design drawings that reflect contemporary aesthetics and graphics. These drawings are generated using 3D modeling and parametric/algorithmic workflows to create linework that is enhanced with digital drawing and graphic design software. Additional workflows include the use of 3D modeling and visual programming environments to explore fundamental concepts of computational simulations, physical computing, and robotics and introductory methods for addressing these topics.

Author : Laurent Lucas,Céline Loscos,Yannick Rémion
Publisher : John Wiley & Sons
Page : 338 pages
File Size : 41,6 Mb
Release : 2013-12-04
Category : Technology & Engineering
ISBN : 9781118761861

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3D Video by Laurent Lucas,Céline Loscos,Yannick Rémion Pdf

While 3D vision has existed for many years, the use of 3D cameras and video-based modeling by the film industry has induced an explosion of interest for 3D acquisition technology, 3D content and 3D displays. As such, 3D video has become one of the new technology trends of this century. The chapters in this book cover a large spectrum of areas connected to 3D video, which are presented both theoretically and technologically, while taking into account both physiological and perceptual aspects. Stepping away from traditional 3D vision, the authors, all currently involved in these areas, provide the necessary elements for understanding the underlying computer-based science of these technologies. They consider applications and perspectives previously unexplored due to technological limitations. This book guides the reader through the production process of 3D videos; from acquisition, through data treatment and representation, to 3D diffusion. Several types of camera systems are considered (multiscopic or multiview) which lead to different acquisition, modeling and storage-rendering solutions. The application of these systems is also discussed to illustrate varying performance benefits, making this book suitable for students, academics, and also those involved in the film industry.

Author : Panayiotis Zaphiris,Andri Ioannou
Publisher : Springer Nature
Page : 348 pages
File Size : 47,5 Mb
Release : 2022-06-16
Category : Computers
ISBN : 9783031056758

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Learning and Collaboration Technologies. Novel Technological Environments by Panayiotis Zaphiris,Andri Ioannou Pdf

Chapter “Developing a VR Tool to Support Repeat Pattern Design Learning ” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.