Method and apparatus for circular interpolation

Details Method and apparatus for circular interpolation Method and apparatus for circular interpolation

1981-08-19

1984-07-03

Malzahn, David H.

Boots, shoes, and leggings

318573, G05B 19415

Patent

active

044583265

ABSTRACT:
A method and apparatus for circular interpolation on the basis of a given arc center O, arc starting point P.sub.s and arc end point P.sub.e. In a case where the given arc end point P.sub.e does not lie on an arc of center O passing through the given arc starting point P.sub.s, a new center O.sub.N of an arc passing through the points P.sub.s, P.sub.e is computed, and circular interpolation is performed on the basis of the computed center O.sub.N, the given starting point P.sub.s and the given end point P.sub.e.

REFERENCES:
patent: 3109092 (1963-10-01), Lott et al.
patent: 3703327 (1972-11-01), Pomella et al.
patent: 3864613 (1975-02-01), Cutler
patent: 4031369 (1977-06-01), Heaman et al.
patent: 4150328 (1979-04-01), Cannon
patent: 4243924 (1981-01-01), Onoda et al.
Schmid, "Interpolation in Numerical Path Controls", Steverungstechnik, vol. 2, No. 9, Sep. 1969, pp. 342-349.
Bergren, "A Simple Algorithm for Circular Interpolation", Control Engineering, Sep. 1971, pp. 57-59.

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