Curve generation in a display system

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364521, G06F 102

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active

048357227

ABSTRACT:
A curve generator for a display system with an arc generator has for generating an arc (10) of a circle (14) from data defining the locations of two end points P.sub.1 and P.sub.3 and an intermediate point P.sub.2 on the arc. The arc generator has an initializer (40) for calculating the angle subtended between a first vector (21), from a first of the end points, P.sub.1 to the intermediate point P.sub.2, and a second vector (32), from the second of the end points P.sub.3 to the intermediate point P.sub.2, and an arc plotter (44) for defining a succession of further vectors n1 from the first end point P.sub.1 and for calculating, for each further vector, its point of intersection P.sub.n with a counterpart vector 3n, from the second end point P.sub.3, with which it subtends the same angle, whereby a succession of further points P.sub.n are plotted on the circular arc.

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patent: 4314351 (1982-02-01), Postel et al.
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patent: 4692887 (1987-09-01), Hashidate
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patent: 4760548 (1988-07-01), Baker et al.
"A Linear Algorithm for Incremental Digital Display of Circular Arcs", Bresenham, Communications of the ACM, Feb. 1977, vol. 20, No. 2, pp. 100-106.
Fundamentals of Interactive Computer Graphics, Foley et al., pp. 442-446.

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