Download or read book The Mathematical Basis of the UNIURF CAD System written by Pierre Bézier and published by Butterworth-Heinemann. This book was released on 2014-05-20 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Basis of the UNISURF CAD System deals with the mathematics involved in the use of the UNISURF CAD System. The book is divided into five chapters. Chapters 1 and 2 deal with the basic principles, expression of a point, and hodographs of curves and patches. Chapters 3 and 4 deal with the volume and parametric transformations of curves and patches, and Chapter 5 covers the general and special cases of blending. The text is recommended for mathematicians and designers who would like to know more about the mathematical aspect of the UNISURF CAD system.
Download or read book The Mathematical Basis of the UNISURF CAD System written by Pierre Bézier and published by Butterworth-Heinemann. This book was released on 1986 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Basis of the UNISURF CAD System deals with the mathematics involved in the use of the UNISURF CAD System.
Download or read book The NURBS Book written by Les Piegl and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: Until recently B-spline curves and surfaces (NURBS) were principally of interest to the computer aided design community, where they have become the standard for curve and surface description. Today we are seeing expanded use of NURBS in modeling objects for the visual arts, including the film and entertainment industries, art, and sculpture. NURBS are now also being used for modeling scenes for virtual reality applications. These applications are expected to increase. Consequently, it is quite appropriate for The.N'URBS Book to be part of the Monographs in Visual Communication Series. B-spline curves and surfaces have been an enduring element throughout my pro fessional life. The first edition of Mathematical Elements for Computer Graphics, published in 1972, was the first computer aided design/interactive computer graph ics textbook to contain material on B-splines. That material was obtained through the good graces of Bill Gordon and Louie Knapp while they were at Syracuse University. A paper of mine, presented during the Summer of 1977 at a Society of Naval Architects and Marine Engineers meeting on computer aided ship surface design, was arguably the first to examine the use of B-spline curves for ship design. For many, B-splines, rational B-splines, and NURBS have been a bit mysterious.
Download or read book An Introduction to NURBS written by David F. Rogers and published by Morgan Kaufmann. This book was released on 2001 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: NURBS (Non-uniform Rational B-Splines) are the computer graphics industry standard for curve and surface description. They are now incorporated into all standard computer-aided design and drafting programs (for instance, Autocad). They are also extensively used in all aspects of computer graphics including much of the modeling used for special effects in film and animation, consumer products, robot control, and automobile and aircraft design. So, the topic is particularly important at this time because NURBS are really at the peak of interest as applied to computer graphics and CAD of all kind.
Download or read book Theory and Practice of Geometric Modeling written by Wolfgang Straßer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a result of the lectures and discussions during the conference "Theory and Practice of Geometric Modeling". The event has been organized by the Wilhelm-Schickard-Institut fiir Informatik, Universitat Tiibingen and took place at the Heinrich-Fabri-Institut in Blaubeuren from October 3 to 7, 1988. The conference brought together leading experts from academic and industrial research institutions, CAD system developers and experien ced users to exchange their ideas and to discuss new concepts and future directions in geometric modeling. The main intention has been to bridge the gap between theoretical results, performance of existing CAD systems and the real problems of users. The contents is structured in five parts: A Algorithmic Aspects B Surface Intersection, Blending, Ray Tracing C Geometric Tools D Different Representation Schemes in Solid Modeling E Product Modeling in High Level Specifications The material presented in this book reflects the current state of the art in geometric modeling and should therefore be of interest not only to university and industry researchers, but also to system developers and practitioners who wish to keep up to date on recent advances and new concepts in this rapidly expanding field. The editors express their sincere appreciation to the contributing authors, and to the members of the program committee, W. Boehm, J. Hoschek, A. Massabo, H. Nowacki, M. Pratt, J. Rossignac, T. Sederberg and W. Tiller, for their close cooperation and their time and effort that made the conference and this book a success.
Download or read book Mathematics and CAD written by Y. Gardan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of computer-aided design (CAD) systems always involves the introduction of mathematical concepts. It is important, therefore, for any systems designer to have a good grasp of the mathematical bases used in CAD. The choice of mathematical models in a system also has an effect on the overall quality, although this effect may not always be visible to the final user. Depending on whether Bezier or B-spline functions are used for curves and surfaces, for example, the final user even if not a com puter scientist will notice a difference. If, for example, one of the control points is modified by the user, in a Bezier-type representation, the curve or surface will tend to be modified overall, but in a B-spline representation, the curve or surface will tend to be modified close to the point, and there only. More possibly harmful, however, is the effect of the mathematical model which has a number of properties invisible and unknown to the final user. In every case a model must be chosen with, it is hoped, the most appropriate characteristics and limits for the task in hand.
Download or read book From Physics to Daily Life written by Beatrice Bressan and published by John Wiley & Sons. This book was released on 2014-11-03 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beatrice Bressan brings together a number of outstanding examples of successful cross-disciplinary technology transfer originating in fundamental physics research, which dramatically impacted scientific progress in areas which changed modern society. Many of them were developed at CERN, a hotbed of fundamental inventions in particle physics. This book deals with breakthrough developments being applied in the world of IT, consumer electronics, aviation, and material sciences. Additional sections of the book deal with knowledge management and technology transfer including their economic aspects. While each chapter has been drafted by an expert in the field, the editor has carefully edited the whole to ensure a coherent overall structure. A must-have for policy makers, technology companies, investors, strategic planners in research and technology, as well as attractive reading for the research community.
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.
Download or read book Philosophical Difference and Advanced Computation in Architectural Theory written by Jefferson Ellinger and published by Routledge. This book was released on 2021-09-30 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a new take on the evolution of digital design theories in architecture from modernity to today, as they have been inspired both by contemporary philosophy and the emergence and access to advanced computation. It focuses on how concepts of difference in philosophy transformed architectural design theory and takes on even more significance with the introduction and ubiquitous use of computers within the discipline, changing the architectural design paradigm forever. Beginning with a presentation of American Pragmatism’s push towards process, the book continues on to Husserl’s influence on the modern movement, mid-century phenomenology, post-structuralist Derridean exchanges with architects, the Deleuzian influence on the smoothing of form and finally contemporary architectural references to speculative realism. Analyzing the arc of design theory as influenced by philosophical and computational logics, this book presents the transformation to contemporary design approaches that includes more biology, more data and more information, moving from "less is more" to "From Less to More!" Philosophical Difference and Advanced Computation in Architectural Theory is an influential read for students and academics of architectural theory, computational design and related areas.
Download or read book Geometry of Surfaces written by Stephen P. Radzevich and published by Springer. This book was released on 2019-08-14 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated and expanded edition presents a highly accurate specification for part surface machining. Precise specification reduces the cost of this widely used industrial operation as accurately specified and machined part surfaces do not need to undergo costly final finishing. Dr. Radzevich describes techniques in this volume based primarily on classical differential geometry of surfaces. He then transitions from differential geometry of surfaces to engineering geometry of surfaces, and examines how part surfaces are either machined themselves, or are produced by tools with surfaces that are precisely machined. The book goes on to explain specific methods, such as derivation of planar characteristic curves based on Plücker conoid constructed at a point of the part surface, and that analytical description of part surface is vital for surfaces machined using CNC technology, and especially so for multi-axes NC machines. Providing readers with a powerful tool for analytical description of part surfaces machined on conventional machine tools and numerically controlled machines, this book maximizes understanding on optimal treatment of part surfaces to meet the requirements of today’s high tech industry.
Download or read book Curves and Surfaces for CAGD written by Gerald E. Farin and published by Morgan Kaufmann. This book was released on 2002 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preface -- Chapter 1 P. B̌ezier: How a Simple System Was Born -- Chapter 2 Introductory Material -- Chapter 3 Linear Interpolation -- Chapter 4 The de Casteljau Algorithm -- Chapter 5 The Bernstein Form of a B̌ezier Curve -- Chapter 6 B̌ezier Curve Topics -- Chapter 7 Polynomial Curve Constructions -- Chapter 8 B-Spline Curves -- Chapter 9 Constructing Spline Curves -- Chapter 10 W. Boehm: Differential Geometry I -- Chapter 11 Geometric Continuity -- Chapter 12 ConicSections -- Chapter 13 Rational B̌ezier and B-Spline Curves -- Chapter 14 Tensor Product Patches -- Chapter 15 Constructing Polynomial Patches -- Chapter 16 Composite Surfaces -- Chapter 17 B̌ezier Triangles -- Chapter 18 Practical Aspects of B̌ezier Triangles -- Chapter 19 W. Boehm: Differential Geometry II -- Chapter 20 GeometricContinuityforSurfaces -- Chapter 21 Surfaces with Arbitrary Topology -- Chapter 22 Coons Patches -- Chapter 23 Shape -- Chapter 24 Evaluation of Some Methods -- Appendix A Quick Reference of Curve ...
Download or read book Mathematics and CAD Numerical methods for CAD written by Yvon Gardan and published by MIT Press (MA). This book was released on 1986-01 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of computer-aided design (CAD) systems always involves the introduction of mathematical concepts. It is important, therefore, for any systems designer to have a good grasp of the mathematical bases used in CAD. This book introduces mathematical bases in a general way, so as to allow the reader to understand the basic tools. Based on the-work of leading French researchers, it gives a clear outline of the mathematical concepts employed in setting up a CAD system that uses interactive graphic techniques. It deals thoroughly with basic graphics, two- and three-dimensional operations, as well as considering mathematical modeling in relation to geometric modeling. It also examines curves and surfaces, numerical methods of solving equations and finite element modeling, one of the many CAD design tools available today. Contents:Part 1: Basic Problems Using Graphics. Part 2: Curves and Surfaces. Part 3: Numerical Methods for Solving Equation Systems. Part 4: The Finite Element Model. Yvon Gardan, who is Professor of Computer Science at the University of Metz, is a wellknown authority on interactive graphic techniques, and is the author of Interactive Graphics in CAD. He is also director of the CADCAM Association of France (MICADO).
Download or read book Machine Design with CAD and Optimization written by Sayed M. Metwalli and published by John Wiley & Sons. This book was released on 2021-04-08 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt: MACHINE DESIGN WITH CAD AND OPTIMIZATION A guide to the new CAD and optimization tools and skills to generate real design synthesis of machine elements and systems Machine Design with CAD and Optimization offers the basic tools to design or synthesize machine elements and assembly of prospective elements in systems or products. It contains the necessary knowledge base, computer aided design, and optimization tools to define appropriate geometry and material selection of machine elements. A comprehensive text for each element includes: a chart, excel sheet, a MATLAB® program, or an interactive program to calculate the element geometry to guide in the selection of the appropriate material. The book contains an introduction to machine design and includes several design factors for consideration. It also offers information on the traditional rigorous design of machine elements. In addition, the author reviews the real design synthesis approach and offers material about stresses and material failure due to applied loading during intended performance. This comprehensive resource also contains an introduction to computer aided design and optimization. This important book: Provides the tools to perform a new direct design synthesis rather than design by a process of repeated analysis Contains a guide to knowledge-based design using CAD tools, software, and optimum component design for the new direct design synthesis of machine elements Allows for the initial suitable design synthesis in a very short time Delivers information on the utility of CAD and Optimization Accompanied by an online companion site including presentation files Written for students of engineering design, mechanical engineering, and automotive design. Machine Design with CAD and Optimization contains the new CAD and Optimization tools and defines the skills needed to generate real design synthesis of machine elements and systems on solid ground for better products and systems.
Download or read book Mathematical Methods for CAD written by J. J. Risler and published by Cambridge University Press. This book was released on 1992-08-13 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book sets out the fundamental elements of the theory of computational geometry and computer-aided design in a mathematically rigorous manner. Splines and Bézier curves are first tackled, leading to Bézier surfaces, triangulation, and box splines. The final chapter is devoted to algebraic geometry and provides a firm theoretical basis for anyone wishing to seriously develop and investigate CAD systems.
Download or read book The Computer Graphics Manual written by David Salomon and published by Springer Science & Business Media. This book was released on 2011-09-18 with total page 1559 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a broad overview of computer graphics (CG), its history, and the hardware tools it employs. Covering a substantial number of concepts and algorithms, the text describes the techniques, approaches, and algorithms at the core of this field. Emphasis is placed on practical design and implementation, highlighting how graphics software works, and explaining how current CG can generate and display realistic-looking objects. The mathematics is non-rigorous, with the necessary mathematical background introduced in the Appendixes. Features: includes numerous figures, examples and solved exercises; discusses the key 2D and 3D transformations, and the main types of projections; presents an extensive selection of methods, algorithms, and techniques; examines advanced techniques in CG, including the nature and properties of light and color, graphics standards and file formats, and fractals; explores the principles of image compression; describes the important input/output graphics devices.
Download or read book Handbook of Computer Aided Geometric Design written by G. Farin and published by Elsevier. This book was released on 2002-08-13 with total page 849 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive coverage of the fields Geometric Modeling, Computer-Aided Design, and Scientific Visualization, or Computer-Aided Geometric Design. Leading international experts have contributed, thus creating a one-of-a-kind collection of authoritative articles. There are chapters outlining basic theory in tutorial style, as well as application-oriented articles. Aspects which are covered include: Historical outline Curve and surface methods Scientific Visualization Implicit methods Reverse engineering. This book is meant to be a reference text for researchers in the field as well as an introduction to graduate students wishing to get some exposure to this subject.
Download or read book Pythagorean Hodograph Curves Algebra and Geometry Inseparable written by Rida T Farouki and published by Springer Science & Business Media. This book was released on 2008-02-01 with total page 725 pages. Available in PDF, EPUB and Kindle. Book excerpt: By virtue of their special algebraic structures, Pythagorean-hodograph (PH) curves offer unique advantages for computer-aided design and manufacturing, robotics, motion control, path planning, computer graphics, animation, and related fields. This book offers a comprehensive and self-contained treatment of the mathematical theory of PH curves, including algorithms for their construction and examples of their practical applications. It emphasizes the interplay of ideas from algebra and geometry and their historical origins and includes many figures, worked examples, and detailed algorithm descriptions.
