ABSTRACT

Earlier in this book, we mentioned that all letters that you see here were designed by a font designer, also called a cubic Bezier curve. Such parametric curves are handy for font design, but they were initially invented for car design. This happened in France in the early 1960s at Renault and Citroën in Paris. These techniques are still in use today. We briefly outline this kind of curve, and also apply previous linear Algebra: And geometric concepts to the study of curves in general. This type of work is called geometric modeling or computer-aided geometric design. We introduce the Frenet frame, which is another look at the Gram-Schmidt method. We apply this to moving an object along a curve. Sketches and figures illustrate the concepts.