GRASS GIS manual: r.series.filter

NAME

r.series.filter - Performs filtering of raster time series X (in time domain).

KEYWORDS

SYNOPSIS

r.series.filter

r.series.filter --help

r.series.filter [-cu] input=string[,string,...] result_prefix=string [method=string] [winsize=integer] [order=integer] [opt_points=integer] [diff_penalty=float] [deriv_penalty=float] [iterations=integer] [--overwrite] [--help] [--verbose] [--quiet] [--ui]

Flags:

-c: Try to find optimal parameters for filtering
-u: Fit the result curve by upper boundary
--overwrite: Allow output files to overwrite existing files
--help: Print usage summary
--verbose: Verbose module output
--quiet: Quiet module output
--ui: Force launching GUI dialog

Parameters:

input=string[,string,...] [required]: Raster names of equally spaced time series
result_prefix=string [required]: Prefix for raster names of filtered X(t)
method=string: Used method; Default: savgol
winsize=integer: Length of running window for the filter; Default: 9
order=integer: Order of the Savitzky-Golay filter; Default: 2
opt_points=integer: Count of random points used for parameter optimization; Default: 50
diff_penalty=float: Penalty for difference between original and filtered signals; Default: 1.0
deriv_penalty=float: Penalty for big derivates of the filtered signal; Default: 1.0
iterations=integer: Number of iterations; Default: 1

DESCRIPTION
NOTES
EXAMPLES
REFERENCES
SEE ALSO
AUTHOR

DESCRIPTION

r.series.filter is a module to filter raster time series X in time domain. It requires python-scipy (version 0.14 or later).

-c: Find optimal parameters of used filter. The function to optimize depends on difference between original and filtered signals and on derivates of the filtered signal.

-u: Filter using upper boundary of the signal values (Useful for vegetation indexes filtering).

input: Raster names of equally spaced time series X.

result_prefix: Prefix for raster names of filterd X.

method: Filtering method. Implemented filters are Savitzky-Golay filter savgol and median filter median.

winsize: The length of the filter window. winsize must be a positive odd integer.

order: The order of the polynomial used to fit the samples. The order must be less than winsize (Savitzky-Golay only).

iterations: Number of filtering iterations.

opt_points: If -c is specifed, then random sample opt_points and use them in parameter optimization.

diff_penalty: Penalty for difference between original and filtered signals (see Notes).

deriv_penalty: Penalty for derivates of filtered signal (see Notes).

NOTES

X must be equally spaced time series. If the series isn't equally spaced, insert NULL raster maps into X.

There is a procedure for searching for good filtering parameters: it uses opt_points random points and perfoms filtering in that points. The result of the filtering can be tested for quality. The quality function is a trade of two features: accuracy and smoothing. Accuracy can be estimated as the (abs) difference between original and filtered data, quality of smoothing can be estimated as absalute values of the derivates. So there are two parameters diff_penalty and deriv_penalty that can ajust the trade-of.

So the optimizing procedure performs loop over filtering parameters and calculates the next penalty function:

 
penalty = diff_penalty * sum(abs(Xi-Fi)) + sum(abs(dFi))

where Xi are original signals in the samplig points, Fi are filtered signals in the sampling points.

The optimal parameters are used for signal filtering in the whole region.

If -u flag is specifed, then filter uses Chen's algorithm (see link bellow). The algorithm is usefull for vegetation indexes filtering. It creates a curve that flows on upper boundary of the signal.

EXAMPLES

Create test data: X = sin(t) + E, where X is raster time series, E is a error term.

for T in $(seq -w 0 10 360) 
do
  name="test_raster"$T
  r.mapcalc -s "$name = sin($T) + rand(-0.3, 0.3)"
done

Create smooth raster series using Savitzky-Golay method:

maps=$(g.list rast patt="test_*" sep=,)
r.series.filter input=$maps result_prefix="flt." method=savgol winsize=9 order=2 --o

Look at the result (plot the curves for a pixel):

maps=$(g.list rast patt="test_*" sep=,)
fmaps=$(g.list rast patt="flt.*" sep=,)

eval $(g.region -cg)
i.spectral -g raster=$maps coor=$center_easting,$center_northing out=signal.png
i.spectral -g raster=$fmaps coor=$center_easting,$center_northing out=flt.png

Values of the time series in the central point

Filtered values of the time series in the central point

REFERENCES

Chen, Jin; Jonsson, Per; Tamura, Masayuki; Gu, Zhihui; Matsushita, Bunkei; Eklundh, Lars. (2004). A simple method for reconstructing a high-quality NDVI time-series data set based on the Savitzky-Golay filter. Remote Sensing of Environment, 91, 332-344, doi:10.1016/j.rse.2004.03.014.

AUTHOR

Dmitry Kolesov

Last changed: $Date: 2018-12-27 22:20:04 +0100 (Thu, 27 Dec 2018) $

SOURCE CODE

Available at: r.series.filter source code (history)