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 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 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: As computers become the mainstay of most engineering design practices, there has been a growing interest in the theory of computational geometry and computer aided design.
Download or read book Applied Geometry for Computer Graphics and CAD written by Duncan Marsh and published by Springer. This book was released on 2006-03-30 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the manipulation and representation of geometrical objects, this book explores the application of geometry to computer graphics and computer-aided design (CAD). Over 300 exercises are included, some new to this edition, and many of which encourage the reader to implement the techniques and algorithms discussed through the use of a computer package with graphing and computer algebra capabilities. A dedicated website also offers further resources and useful links.
Download or read book Mathematics for Computer Graphics written by John Vince and published by Springer Science & Business Media. This book was released on 2005-12-19 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a concise and informal introductory book on the mathematical concepts that underpin computer graphics. The author, John Vince, makes the concepts easy to understand, enabling non-experts to come to terms with computer animation work. The book complements the author's other works and is written in the same accessible and easy-to-read style. It is also a useful reference book for programmers working in the field of computer graphics, virtual reality, computer animation, as well as students on digital media courses, and even mathematics courses.
Download or read book Fundamentals of Geometry Construction written by Jorge Angeles and published by Springer Nature. This book was released on 2020-04-18 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: The textbook provides both beginner and experienced CAD users with the math behind the CAD. The geometry tools introduced here help the reader exploit commercial CAD software to its fullest extent. In fact, the book enables the reader to go beyond what CAD software packages offer in their menus. Chapter 1 summarizes the basic Linear and Vector Algebra pertinent to vectors in 3D, with some novelties: the 2D form of the vector product and the manipulation of “larger" matrices and vectors by means of block-partitioning of larger arrays. In chapter 2 the relations among points, lines and curves in the plane are revised accordingly; the difference between curves representing functions and their geometric counterparts is emphasized. Geometric objects in 3D, namely, points, planes, lines and surfaces are the subject of chapter 3; of the latter, only quadrics are studied, to keep the discussion at an elementary level, but the interested reader is guided to the literature on splines. The concept of affine transformations, at the core of CAD software, is introduced in chapter 4, which includes applications of these transformations to the synthesis of curves and surfaces that would be extremely cumbersome to produce otherwise. The book, catering to various disciplines such as engineering, graphic design, animation and architecture, is kept discipline-independent, while including examples of interest to the various disciplines. Furthermore, the book can be an invaluable complement to undergraduate lectures on CAD.
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 Computer Graphics through Key Mathematics written by Huw Jones and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the mathematical concepts that underpin computer graphics. It is written in an approachable way, without burdening readers with the skills of ow to do'things. The author discusses those aspects of mathematics that relate to the computer synthesis of images, and so gives users a better understanding of the limitations of computer graphics systems. Users of computer graphics who have no formal training and wish to understand the essential foundations of computer graphics systems will find this book very useful, as will mathematicians who want to understand how their subject is used in computer image synthesis. '
Download or read book Mathematics and CAD written by Paul de Faget DeCasteljau and published by . This book was released on 1986 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematics and CAD written by de Faget de Casteljau and published by Springer. This book was released on 1986-06-30 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Mathematics for Computer Graphics and Game Programming written by D. P. Kothari and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Original title: Computer graphics in mathematical approaches
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 Computer Aided Geometric Design written by Robert E. Barnhill and published by Academic Press. This book was released on 2014-05-10 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Aided Geometric Design covers the proceedings of the First International Conference on Computer Aided Geometric Design, held at the University of Utah on March 18-21, 1974. This book is composed of 15 chapters and starts with reviews of the properties of surface patch equation and the use of computers in geometrical design. The next chapters deal with the principles of smooth interpolation over triangles and without twist constraints, as well as the graphical representation of surfaces over triangles and rectangles. These topics are followed by discussions of the B-spline curves and surfaces; mathematical and practical possibilities of UNISURF; nonlinear splines; and some piecewise polynomial alternatives to splines under tension. Other chapters explore the smooth parametric surfaces, the space curve as a folded edge, and the interactive computer graphics application of the parametric bi-cubic surface to engineering design problems. The final chapters look into the three-dimensional human-machine communication and a class of local interpolating splines. This book will prove useful to design engineers.
Download or read book Shape Interrogation for Computer Aided Design and Manufacturing written by Nicholas M. Patrikalakis and published by Springer Science & Business Media. This book was released on 2002-02-14 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shape interrogation is the process of extraction of information from a geometric model. It is a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. The authors focus on shape interrogation of geometric models bounded by free-form surfaces. Free-form surfaces, also called sculptured surfaces, are widely used in the bodies of ships, automobiles and aircraft, which have both functionality and attractive shape requirements. Many electronic devices as well as consumer products are designed with aesthetic shapes, which involve free-form surfaces. This book provides the mathematical fundamentals as well as algorithms for various shape interrogation methods including nonlinear polynomial solvers, intersection problems, differential geometry of intersection curves, distance functions, curve and surface interrogation, umbilics and lines of curvature, geodesics, and offset curves and surfaces. This book will be of interest both to graduate students and professionals.
Download or read book Mathematics and CAD written by Yvon Gardan and published by . This book was released on 1985 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book CAD CAE Descriptive Geometry written by Daniel L. Ryan and published by CRC Press. This book was released on 1991-12-18 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: CAD/CAE Descriptive Geometry provides a sound foundation in the fundamentals of plane geometry (mathematics), orthographic projection (technical drawing), and high-speed communication methods (digital computing). The material presented in this textbook is based on the premise that readers have access to IBM PC or PS/2 compatible workstations running AutoDesk software. The chapters cover the basic geometry topic in detail using the CAD workstation. The book is an excellent industry and institutional reference, as well as a student text.
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.
