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Quick & easy smoothing

version 1.2.0.0 (7.51 KB) by Damien Garcia
Z = SMOOTH1Q(Y) smoothes data Y using a DCT- or FFT-based spline smoothing method

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Updated 27 Feb 2014

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Z = SMOOTH1Q(Y,S) smoothes the data Y using a DCT- or FFT-based spline smoothing method. Non finite data (NaN or Inf) are treated as missing values.

S is the smoothing parameter. It must be a real positive scalar. The larger S is, the smoother the output will be. If S is empty (i.e. S = []), it is automatically determined by minimizing the generalized cross-validation (GCV) score.

Z = SMOOTH1Q(...,'robust') carries out a robust smoothing that minimizes the influence of outlying data.

Z = SMOOTH1Q(...,'periodic') assumes that the data to be smoothed must be periodic.

[Z,S] = SMOOTH1Q(...) also returns the calculated value for the smoothness parameter S so that you can fine-tune the smoothing subsequently if required.

SMOOTH1Q is a simplified and quick version of SMOOTHN for 1-D data. If you want to smooth N-D arrays use SMOOTHN.

References
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1) Garcia D, Robust smoothing of gridded data in one and higher dimensions with missing values. Computational Statistics & Data Analysis, 2010.
2) Buckley MJ, Fast computation of a discretized thin-plate smoothing spline for image data. Biometrika, 1994.

Cite As

Damien Garcia (2021). Quick & easy smoothing (https://www.mathworks.com/matlabcentral/fileexchange/37878-quick-easy-smoothing), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2010b
Compatible with any release
Platform Compatibility
Windows macOS Linux
Acknowledgements

Inspired by: smoothn

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