Mathematics and CAD

The use of computer-aided design (CAD) systems always involves the introduction of mathematical concepts.

Author: Y. Gardan

Publisher: Springer Science & Business Media

ISBN: 9781468415117

Category: Science

Page: 166

View: 790

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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.

Practical Problems in Mathematics for Drafting and CAD

This book presents mathematics problems encountered in drafting fields. Through comprehensive compilation of integrated problems, this book fosters problem solving, critical thinking and basic mathematics literacy.

Author: John C. Larkin

Publisher: Delmar Pub

ISBN: 0827346247

Category: Mathematics

Page: 298

View: 312

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This book presents mathematics problems encountered in drafting fields. Through comprehensive compilation of integrated problems, this book fosters problem solving, critical thinking and basic mathematics literacy. This book is designed to supplement any mathematics or CAD text. Realistic applications are offered throughout the book as well as coverage on how to use a calculator for mastering math in drafting. Examples and figures cover a wide range of skills and levels of difficulty. Math principles are offered in problems that provide a challenge for most levels of ability. Ideal as a supplement to any core drafting, CAD text or developmental math text.ALSO AVAILABLEINSTRUCTOR SUPPLEMENTS CALL CUSTOMER SUPPORT TO ORDERInstructor's Guide, ISBN: 0-8273-4625-5

Mathematics and CAD Numerical methods for CAD

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.

Author: Yvon Gardan

Publisher: MIT Press (MA)

ISBN: 0262070979

Category: Computers

Page: 165

View: 568

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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).