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Conic Sections

Conic sections (or, simply, conics) have received the most attention throughout the centuries of any known curve type. Today, they are an important design tool in the aircraft industry; they are also used in areas such as font design. A great many algorithms for the use of conics in design were developed in the 1940s; Liming [390] and [391] are two books with detailed descriptions of those methods. A thorough development of conics can also be found in [85] and [202].

The first person to consider conics in a CAD environment was S. Coons [124]. Later, Forrest [240] further investigated conics and also rational cubics. We shall treat conics in the rational Bézier form; a good reference for this approach is Lee [377]. We present ...

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