Scaling method by using dual point cubic-like slope control...

Details Scaling method by using dual point cubic-like slope control... Scaling method by using dual point cubic-like slope control...

2006-03-21

2006-03-21

Lefkowitz, Sumati (Department: 2675)

Computer graphics processing and selective visual display system

Computer graphics processing

Graphic manipulation

C345S666000

Reexamination Certificate

active

07015936

ABSTRACT:
A method using a dual point cubic-like slope (DPCSC) for scaling a source data to a destination data, wherein a function f(x) is determined to describe the destination data, in which x is a deviation from a current reference point 0, and two reference data of f(0) and f(1) are used as reference data. The method comprises setting an initial condition about a slope D with respect to the function f(x) at the point 0, a gain factor G to time the slope D, and f′(0)=f′(1)=DG. The f(x) is a quadratic equation of f(x)=ax2+bx+c, which should pass f(0), f(1), and a middle point f(0.5) by a quantity of f(0.5)=[f(0)+f(1)]/2. The coefficients of a, b, and, c, are solved in two ranges of 0≦x<0.5 and 0.5≦x<1, so as to obtain the function f(x), with a joint at the middle point. The foregoing steps are repeated for scaling data in a next source data region. The function preferable is chosen to be symmetric to the middle point.

REFERENCES:
patent: 5379241 (1995-01-01), Greggain
patent: 5502662 (1996-03-01), Greggain
patent: 6687417 (2004-02-01), Bradley et al.
Bourke, P. “Bicubic Interpolation for Image Scaling”, May 2001.

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