## DESCRIPTION

v.lidar.correction is the last of three steps to filter LiDAR data. The filter aims to recognize and extract attached and detached object (such as buildings, bridges, power lines, trees, etc.) in order to create a Digital Terrain Model.
The module, which could be iterated several times, makes a comparison between the LiDAR observations and a bilinear spline interpolation with a Tychonov regularization parameter performed on the TERRAIN SINGLE PULSE points only. The gradient is minimized by the regularization parameter. Analysis of the residuals between the observations and the interpolated values results in four cases (the next classification is referred to that of the v.lidar.growing output vector):
a) Points classified as TERRAIN differing more than a threshold value are interpreted and reclassified as OBJECT, for both single and double pulse points.
b) Points classified as OBJECT and closed enough to the interpolated surface are interpreted and reclassified as TERRAIN, for both single and double pulse points.

The length (in mapping units) of each spline step is defined by ew_step for the east-west direction and ns_step for the north-south direction.

## NOTES

The input should be the output of v.lidar.growing module or the output of this v.lidar.correction itself. That means, this module could be applied more times (although, two are usually enough) for a better filter solution. The outputs are a vector map with a final point classification as as TERRAIN SINGLE PULSE, TERRAIN DOUBLE PULSE, OBJECT SINGLE PULSE or OBJECT DOUBLE PULSE; and an vector map with only the points classified as TERRAIN SINGLE PULSE or TERRAIN DOUBLE PULSE. The final result of the whole procedure (v.lidar.edgedetection, v.lidar.growing, v.lidar.correction) will be a point classification in four categories:
TERRAIN SINGLE PULSE (cat = 1, layer = 2)
TERRAIN DOUBLE PULSE (cat = 2, layer = 2)
OBJECT SINGLE PULSE (cat = 3, layer = 2)
OBJECT DOUBLE PULSE (cat = 4, layer = 2)

## EXAMPLES

### Basic correction procedure

    v.lidar.correction input=growing output=correction out_terrain=only_terrain

### Second correction procedure

    v.lidar.correction input=correction output=correction_bis terrain=only_terrain_bis

## SEE ALSO

v.lidar.edgedetection, v.lidar.growing, v.surf.bspline, v.surf.rst, v.in.lidar, v.in.ascii

## AUTHORS

Original version of program in GRASS 5.4:
Maria Antonia Brovelli, Massimiliano Cannata, Ulisse Longoni and Mirko Reguzzoni
Update for GRASS 6.X:
Roberto Antolin and Gonzalo Moreno

## REFERENCES

Antolin, R. et al., 2006. Digital terrain models determination by LiDAR technology: Po basin experimentation. Bolletino di Geodesia e Scienze Affini, anno LXV, n. 2, pp. 69-89.
Brovelli M. A., Cannata M., Longoni U.M., 2004. LIDAR Data Filtering and DTM Interpolation Within GRASS, Transactions in GIS, April 2004, vol. 8, iss. 2, pp. 155-174(20), Blackwell Publishing Ltd.
Brovelli M. A., Cannata M., 2004. Digital Terrain model reconstruction in urban areas from airborne laser scanning data: the method and an example for Pavia (Northern Italy). Computers and Geosciences 30 (2004) pp.325-331
Brovelli M. A. and Longoni U.M., 2003. Software per il filtraggio di dati LIDAR, Rivista dell'Agenzia del Territorio, n. 3-2003, pp. 11-22 (ISSN 1593-2192).
Brovelli M. A., Cannata M. and Longoni U.M., 2002. DTM LIDAR in area urbana, Bollettino SIFET N.2, pp. 7-26.
Performances of the filter can be seen in the ISPRS WG III/3 Comparison of Filters report by Sithole, G. and Vosselman, G., 2003.

Last changed: $Date: 2017-07-24 23:59:39 +0200 (Mon, 24 Jul 2017) $