Abstract
One important requirement of a graphic design system is to be able to draw a visually pleasing curve passing through a sequence of discrete points in the Euclidean plane. These points are normally provided as input by the graphic designer or the graphic artist. Another important requirement is to be able to provide a modification technique for these curves which is simple and has control parameters which are conceptually natural to the designer or artist. This paper first reviews the curve definition as used in the METAFONT alphabet design system, discusses the drawbacks of the METAFONT curve form and then suggests a number of mathematical formulations for such curves and also the parameters for modification of these curves, which have been built into a graphic design system called Palatine Palatino has been designed and implemented at the National Centre for Software Development and Computing Techniques of the Tata Institute of Fundamental Research in Bombay, India. THE CURVE DESIGN PROBLEM
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