Mathematics and CAD: Volume 1: Numerical Methods for CAD Yvon Gardan

ISBN: 9781468415131

Published: February 16th 2012

Paperback

168 pages


Description

Mathematics and CAD: Volume 1: Numerical Methods for CAD  by  Yvon Gardan

Mathematics and CAD: Volume 1: Numerical Methods for CAD by Yvon Gardan
February 16th 2012 | Paperback | PDF, EPUB, FB2, DjVu, audiobook, mp3, ZIP | 168 pages | ISBN: 9781468415131 | 8.80 Mb

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 mathematicalMoreThe 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.



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