Author:
Publisher: CUP Archive
ISBN:
Category :
Languages : en
Pages : 196

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Author: E. A. Maxwell
Publisher: Cambridge University Press
ISBN: 9780521092289
Category : Mathematics
Languages : en
Pages : 184

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Book Description
The purpose of this book is at once modest and ambitious, namely, to provide a short introduction to algebraic geometry in space of three dimensions, to make clear its spirit, and to prepare the way for deeper study. This book will appeal to a reader who has read Maxwell's book on homogenous coordinates in a plane (to which this stands as a second volume) and is in the early stages of second year work at University, It will also be suitable for a class reader who has read further in mathematics generally, but has found the existing detailed accounts of this work too full or too specialised for their own needs, and is in need of an accessible introduction.

Author: Edwin Arthur Maxwell
Publisher:
ISBN:
Category : Coordinates
Languages : en
Pages : 183

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Author: D. M. Y. Sommerville
Publisher: Cambridge University Press
ISBN: 1316601900
Category : Mathematics
Languages : en
Pages : 435

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Originally published in 1934, this book starts at the subject's beginning, but also engages with profoundly more specialist concepts in the field of geometry.

Author: Christian Wöhler
Publisher: Springer Science & Business Media
ISBN: 3642017320
Category : Computers
Languages : en
Pages : 391

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Book Description
This work provides an introduction to the foundations of three-dimensional c- puter vision and describes recent contributions to the ?eld, which are of methodical and application-speci?c nature. Each chapter of this work provides an extensive overview of the corresponding state of the art, into which a detailed description of new methods or evaluation results in application-speci?c systems is embedded. Geometric approaches to three-dimensional scene reconstruction (cf. Chapter 1) are primarily based on the concept of bundle adjustment, which has been developed more than 100 years ago in the domain of photogrammetry. The three-dimensional scene structure and the intrinsic and extrinsic camera parameters are determined such that the Euclidean backprojection error in the image plane is minimised, u- ally relying on a nonlinear optimisation procedure. In the ?eld of computer vision, an alternative framework based on projective geometry has emerged during the last two decades, which allows to use linear algebra techniques for three-dimensional scene reconstructionand camera calibration purposes. With special emphasis on the problems of stereo image analysis and camera calibration, these fairly different - proaches are related to each other in the presented work, and their advantages and drawbacks are stated. In this context, various state-of-the-artcamera calibration and self-calibration methods as well as recent contributions towards automated camera calibration systems are described. An overview of classical and new feature-based, correlation-based, dense, and spatio-temporal methods for establishing point c- respondences between pairs of stereo images is given.

Author: Felix Klein
Publisher: Springer
ISBN: 3662494450
Category : Education
Languages : en
Pages : 318

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Book Description
These three volumes constitute the first complete English translation of Felix Klein’s seminal series “Elementarmathematik vom höheren Standpunkte aus”. “Complete” has a twofold meaning here: First, there now exists a translation of volume III into English, while until today the only translation had been into Chinese. Second, the English versions of volume I and II had omitted several, even extended parts of the original, while we now present a complete revised translation into modern English. The volumes, first published between 1902 and 1908, are lecture notes of courses that Klein offered to future mathematics teachers, realizing a new form of teacher training that remained valid and effective until today: Klein leads the students to gain a more comprehensive and methodological point of view on school mathematics. The volumes enable us to understand Klein’s far-reaching conception of elementarisation, of the “elementary from a higher standpoint”, in its implementation for school mathematics./div This volume II presents a paradigmatic realisation of Klein’s approach of elementarisation for teacher education. It is shown how the various geometries, elaborated particularly since the beginning of the 19th century, are revealed as becoming unified in a new restructured geometry. As Klein liked to stress: “Projective geometry is all geometry”. Non-Euclidean geometry proves to constitute a part of this unifying process. The teaching of geometry is discussed in a separate chapter, which provides moreover important information on the history of geometry teaching and an international comparison.

Author: Kuang-Hua Chang
Publisher: Academic Press
ISBN: 0128097361
Category : Computers
Languages : en
Pages : 1228

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Book Description
e-Design: Computer-Aided Engineering Design, Revised First Edition is the first book to integrate a discussion of computer design tools throughout the design process. Through the use of this book, the reader will understand basic design principles and all-digital design paradigms, the CAD/CAE/CAM tools available for various design related tasks, how to put an integrated system together to conduct All-Digital Design (ADD), industrial practices in employing ADD, and tools for product development. - Comprehensive coverage of essential elements for understanding and practicing the e-Design paradigm in support of product design, including design method and process, and computer based tools and technology - Part I: Product Design Modeling discusses virtual mockup of the product created in the CAD environment, including not only solid modeling and assembly theories, but also the critical design parameterization that converts the product solid model into parametric representation, enabling the search for better design alternatives - Part II: Product Performance Evaluation focuses on applying CAE technologies and software tools to support evaluation of product performance, including structural analysis, fatigue and fracture, rigid body kinematics and dynamics, and failure probability prediction and reliability analysis - Part III: Product Manufacturing and Cost Estimating introduces CAM technology to support manufacturing simulations and process planning, sheet forming simulation, RP technology and computer numerical control (CNC) machining for fast product prototyping, as well as manufacturing cost estimate that can be incorporated into product cost calculations - Part IV: Design Theory and Methods discusses modern decision-making theory and the application of the theory to engineering design, introduces the mainstream design optimization methods for both single and multi-objectives problems through both batch and interactive design modes, and provides a brief discussion on sensitivity analysis, which is essential for designs using gradient-based approaches - Tutorial lessons and case studies are offered for readers to gain hands-on experiences in practicing e-Design paradigm using two suites of engineering software: Pro/ENGINEER-based, including Pro/MECHANICA Structure, Pro/ENGINEER Mechanism Design, and Pro/MFG; and SolidWorks-based, including SolidWorks Simulation, SolidWorks Motion, and CAMWorks. Available on the companion website http://booksite.elsevier.com/9780123820389

Author: Kuang-Hua Chang
Publisher: Academic Press
ISBN: 012398517X
Category : Technology & Engineering
Languages : en
Pages : 439

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Book Description
Product Design Modeling using CAD/CAE is the third part of a four-part series. It is the first book to integrate discussion of computer design tools throughout the design process. Through this book, you will: - Understand basic design principles and all digital design paradigms - Understand computer-aided design, engineering, and manufacturing (CAD/CAE/CAM) tools available for various design-related tasks - Understand how to put an integrated system together to conduct all-digital design (ADD) - Provides a comprehensive and thorough coverage of essential elements for product modeling using the virtual engineering paradigm - Covers CAD/CAE in product design, including solid modeling, mechanical assembly, parameterization, product data management, and data exchange in CAD - Case studies and tutorial examples at the end of each chapter provide hands-on practice in implementing off-the-shelf computer design tools - Provides two projects showing the use of Pro/ENGINEER and SolidWorks to implement concepts discussed in the book

Author: John J. Uicker
Publisher: Cambridge University Press
ISBN: 0521761093
Category : Computers
Languages : en
Pages : 347

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Book Description
This is an integrated approach to kinematic and dynamic analysis. The matrix techniques presented are general and applicable to two- or three-dimensional systems. The techniques lend themselves to programming and digital computation and can be a usable tool for designers, and are applicable to the design analysis of all multibody mechanical systems.

Author: Edwin Arthur Maxwell
Publisher: CUP Archive
ISBN:
Category : Geometry, Plane
Languages : en
Pages : 258

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Book Description