Interpolating method using bit-shift and addition/subtraction op

Details Interpolating method using bit-shift and addition/subtraction op Interpolating method using bit-shift and addition/subtraction op

1991-11-27

1993-11-02

Mai, Tan V.

Boots, shoes, and leggings

G06F 738

Patent

active

052589382

ABSTRACT:
In an interpolating method for interpolating interpolated data between discrete items of digital data, there are obtained values of (2.sup.n-1) number of interpolated points which divide, into 2.sup.n -number of almost equal portions, the interval between two intermediate items of data, which are among four consecutive items of data with the exception of two items of data at both ends thereof. These values are obtained from the four consecutive items of data using a bit-shift operation and an addition/subtraction operation. For example, let g(x.sub.i-1), g(x.sub.i), g(x.sub.i+1), g(x.sub.i+2) represent the data values of four, i.e., first through fourth, consecutive points x.sub.i-1, x.sub.i, x.sub.i+1, x.sub.1+2. Three interpolated points are interpolated between the two intermediate points x.sub.i, x.sub.i+1 by computing an interpolated value f(P.sub.i) at a point P.sub.i intermediate the two intermediate points x.sub.i, x.sub.i+1 in accordance with the following equation:

REFERENCES:
patent: 4313173 (1982-01-01), Candy et al.
patent: 4460890 (1984-07-01), Busby
patent: 4802109 (1989-01-01), Machida

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