Patents by Inventor Yutaka Kakizoe

Yutaka Kakizoe has filed for patents to protect the following inventions. This listing includes patent applications that are pending as well as patents that have already been granted by the United States Patent and Trademark Office (USPTO).

  • Patent number: 4243924
    Abstract: The coordinates (X.sub.n+1 Y.sub.n+1) of an arc to be traced at time t.sub.n+1 are preliminary calculated using the coordinates (X.sub.n Y.sub.n) at time t.sub.n, the radius (r) of the arc and a specified length l.sub.n during the time t.sub.n+1 -t.sub.n, thus the number of the calculations required for tracing an arc is considerably reduced and a low speed digital element which is cheap can be utilized in the present arc interpolation system. The formula for obtaining the coordinates is;X.sub.n+1 =X.sub.n +Y.sub.n .multidot.l.sub.n r-X.sub.n .multidot.l.sub.n.sup.2 /2r.sup.2Y.sub.n+1 =Y.sub.n -X.sub.n .multidot.l.sub.n /r-Y.sub.n .multidot.l.sub.n.sup.2 /2r.sup.2The asymptotic change of the above formulae and the apparatus according to the asymptotic formulae is also possible.
    Type: Grant
    Filed: June 16, 1978
    Date of Patent: January 6, 1981
    Assignee: Oki Electric Industry Co., Ltd.
    Inventors: Fumio Onoda, Yutaka Kakizoe