Line smoothing techniques
US5877743A · kind A · utility
Assignee
Inventor
Key dates
| Filing date | Aug 29, 1996 |
| Grant date | Mar 2, 1999 |
| Priority date | — |
| Expiry date | Aug 29, 2016 |
Classification
- Technology area (CPC G)Physics
- CPC primaryG06T11/203
- WIPO fieldComputer technology
- WIPO sectorElectrical engineering
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.
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.