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Mathematics and CAD

Volume 1: Numerical Methods for CAD

  • Yvon Gardan

Table of contents

  1. Front Matter
    Pages 1-9
  2. Yvon Gardan
    Pages 11-34
  3. Yvon Gardan
    Pages 35-90
  4. Yvon Gardan
    Pages 135-162
  5. Back Matter
    Pages 163-165

About this book

Introduction

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.

Keywords

CAD Mathematica computer-aided design (CAD) construction design finite element method function functions mathematics model modeling optimization presentation system systems design

Authors and affiliations

  • Yvon Gardan
    • 1
  1. 1.University of MetzFrance

Bibliographic information