Polynomial Interpolation
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6
6.1 General
Polynomial interpolation is a tool for defining paths by polynomials. It is used for spline
curve fitting.
The position on each of the axes is defined by a polynomial based on an independent
(dimensionless) parameter which varies from 0 to 1 from the beginning to the end of
the path.
There are two types of polynomial interpolation:
- segmented polynomial interpolation,
- smooth polynomial interpolation.
Distinction Between Segmented and Smooth Polynomial Interpolation
With segmented polynomial interpolation, the segment size depends on the
programmed feed rate. Each segment is calculated so as to be executed in 10 ms
and is interpolated linearly for each sample.
With smooth polynomial interpolation, interpolation is carried out in real time, i.e. a
point on the curve is calculated for each sample.
Optional Functionalities
To be able to use smooth polynomial interpolation, it is necessary to enable option
52 (smooth polynomial interpolation). Otherwise, programming of argument I.. in the
syntax is ignored and segmented interpolation is carried out if option 51 (spline curve)
is enabled.
Segment polynomial interpolation (absence of I.. in the syntax) is accepted if either
of options 51 and 52 is enabled.
6.2 Programming Segmented Polynomial Interpolation
In the block syntax, each polynomial is characterised by the end position followed by
the coefficients of increasing degrees separated by «/».
Syntax
N.. G01 X../ Coefficients / Coeff n
th
deg Y../ Coefficients Z../ Coefficients ...
G01 Linear and polynomial interpolation function.
X.. Interpolation end point X coordinate.
/ Coeff n
th
deg Polynomial first, second degree, etc. coefficients.
Y.. Z.. Interpolation end point on the Y, Z and other axes.
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