Titlebook: Mathematics and CAD; Volume 1: Numerical Yvon Gardan Book 1985 Kogan Page Ltd 1985 CAD.Mathematica.computer-aided design (CAD).constructio

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Basic problems using graphics,are involved in setting up a CAD system that includes graphics. It is of particular importance to be able to calculate values (distances, areas etc), to transfer from one space to another (from the user space to the screen space, or from three dimensions to two dimensions etc), to make geometric tra

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Curves and surfaces,re (CAM). In this chapter, a number of mathematical techniques are explained among which a designer may choose the most appropriate to his specific problem and the computer availability (memory and time).

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y 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 cur

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Book 1985surface 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.