Publisher review:PARabolic FILling midpoints inserts mid points ito each interval of x,y data: all(diff(x)>0)=true FILls midpoints into vectors/matrices by PARabolic interpolation as would do Y=interp1(x,y,X,'parabolic')with X=sort([x;( x(1:end-1) x(2:end) )/2];
For matrices PARFIL works on columns. If only rows match length(x), then y will be transposed.
For regular data (equidistantly sampled, i.e. std(diff(x))=0), Y is identical with INTERPOL(y,1,DEG) in inner intervals,(completely identical for DEG=3), but INTERPOL is somewhat faster than PARFILDEMO is included in help and given byparfil()For very smooth data results are close to that of SPLINEFor somewhat noisy data can become method of choice (better than linear, pchip or spline interpolations)
PARabolic FILling midpoints is a Matlab script for Mathematics scripts design by Vassili Pastushenko.
It runs on following operating system: Windows / Linux / Mac OS / BSD / Solaris.
Operating system:Windows / Linux / Mac OS / BSD / Solaris
PARabolic FILling midpoints script details 
