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

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

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02 Nov 2005 (Updated )

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

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Description

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.

Acknowledgements

Savitzky Golay Smoothing And Differentiation Filter, 2 D Savitzky Golay Smoothing Filter, Savitzky Golay Smoothing And Differentiation Filter, F S Golay Filt, Savitzky Golay Smoothing And Differentiation Filter (Closed Formed Solutions), Adaptive Degree Polynomial Filter (Savitzky Golay Filter), 2 D Savitzky Golay Differentiation Filter, and Adaptive Degree Polynomial (Savitzky Golay) Filter For Data Differentiation inspired this file.

This file inspired 2 D Savitzky Golay Smoothing And Differentiation Filter. and 2 D Savitzky Golay Smoothing And Differentiation Filter.

Required Products Symbolic Math Toolbox
MATLAB release MATLAB 7.0.4 (R14SP2)
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Comments and Ratings (1)
20 Dec 2005 Paman Gujral

The main code in the attachment calls the following scripts:
SGSDF1D, SGSF2D, SGDF2D, ZTRANS1D, ZTRANS2D

But out of the above only ZTRANS1D and ZTRANS2D are present in the attachment. The others are missing.

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