The patent badge is an abbreviated version of the USPTO patent document. The patent badge does contain a link to the full patent document.
The patent badge is an abbreviated version of the USPTO patent document. The patent badge covers the following: Patent number, Date patent was issued, Date patent was filed, Title of the patent, Applicant, Inventor, Assignee, Attorney firm, Primary examiner, Assistant examiner, CPCs, and Abstract. The patent badge does contain a link to the full patent document (in Adobe Acrobat format, aka pdf). To download or print any patent click here.
Patent No.:
Date of Patent:
Mar. 02, 1999
Filed:
Aug. 29, 1996
Steven Charles Dzik, Somerset, NJ (US);
Lucent Technologies Inc., Murray Hill, NJ (US);
Abstract
Improved curve plotting techniques are disclosed for drawing a substantially smooth curve in real time, from a plurality of sampled points, as the points are sampled, on a point-by-point basis. The curve is substantially smooth in that it has a continuously changing slope of G.sup.1 continuity, as opposed to a slope which changes in a discontinuous or stepwise manner. The curve plotting is performed by representing the x coordinates of the curve using a parametric equation x=�a.sub.x *(t.sup.2)!+�b.sub.x *t!+�c.sub.x !, and by representing the y coordinates of the curve using a second parametric equation y=�a.sub.y *(t.sup.2)!+�b.sub.y *t!+�c.sub.y !, wherein a.sub.x, a.sub.y, b.sub.x, b.sub.y, c.sub.x, and c.sub.y comprise six unknown quantities, and t is a 'dummy' valuable. The derivatives of the parametric equations are employed to calculate and to plot the smooth curve.