z-transform of 1D & 2D Savitzky-Golay Smoothing and Differentiation Filter

z-transform of 1D & 2D Savitzky-Golay Smoothing and Differentiation Filter

Compute and plot 1D and 2D Savitzky-Golay smoothing and differentiation filters.

Savitzky-Golay (GS)Filters are polynomial-based filters frequently used for processing of 2D Images.

A good basic introdution to these filters is found on net at:
http://research.microsoft.com/users/jckrumm/SavGol/SavGol.htm.

The following MATLAB functions that compute GS-filters are available at the MATLAB File Exchange:
File IDs [4038; 5661; 4270; 6121; 7003; 5556; 6047; 6151]

This zip-folder contains two functions: ztrans1d.m and ztrans2d.m that compute the z-transform of any GS filter and plot its amplitude spectrum.

Following is a demo of these functions in action for 1D and 2D GS-filters.