December 2012
Intermediate to advanced
631 pages
13h 10m
English
Content preview from Graphics Gems III (IBM Version)
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IV.1
A PARAMETRIC ELLIPTICAL ARC ALGORITHM
Jerry Van Aken and Ray Simar, Texas Instruments, Houston, Texas
Publisher Summary
Sometimes an arc of a circle or of an ellipse is a better choice than a cubic spline for representing a particular curved shape. Circles and ellipses are inherently simpler curves than cubics, so the algorithms for generating them should also be simpler. This is chiefly why conic splines are popular in applications such as the generation of font outlines, where drawing speed is of critical importance. This chapter describes an algorithm for generating points along an elliptical arc. The points are separated by a fixed angular increment specified in radians of elliptical arc. The algorithm is based on a parametric ...
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