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Topographic Correction of LAPAN-A3/LAPAN-IPB Multispectral Image: A Comparison of Five Different Algorithms

Zylshal Zylshal
Zylshal Zylshal
   | Aug 05, 2020
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Published Online: Aug 05, 2020
Page range: 33 - 45
Received: Feb 25, 2020
DOI: https://doi.org/10.2478/quageo-2020-0021
Keywords
© 2020 Zylshal Zylshal, published by Sciendo
This work is licensed under the Creative Commons Attribution 3.0 Public License.

Fig. 1

Study area.A – Overview of study area on South Sulawesi, Indonesia. B – LAPAN-A3 RGB composite of NIR-R-G, C – Landuse/landcover of the study area taken from visually interpreted SPOT-6 pansharpened iamge (1.5 meter) acquired at September 14th 2019. Red rectangle in left image indicates the area of interest. The right image is the LAPAN-A3 RGB composite of NIR-R-G.
Study area.A – Overview of study area on South Sulawesi, Indonesia. B – LAPAN-A3 RGB composite of NIR-R-G, C – Landuse/landcover of the study area taken from visually interpreted SPOT-6 pansharpened iamge (1.5 meter) acquired at September 14th 2019. Red rectangle in left image indicates the area of interest. The right image is the LAPAN-A3 RGB composite of NIR-R-G.

Fig. 2

The terrain elevation and its derivatives used in this study.A – ALOS World 3D 30 meter, B – Slope map, C – Aspect map, D – Histogram distribution of terrain elevation based on AW3D30, E – Histogram distribution of slopes, F – Histogram distribution of aspects.
The terrain elevation and its derivatives used in this study.A – ALOS World 3D 30 meter, B – Slope map, C – Aspect map, D – Histogram distribution of terrain elevation based on AW3D30, E – Histogram distribution of slopes, F – Histogram distribution of aspects.

Fig. 3

Geometric illustration shows all angles involved in calculating the incidence angle between normal to the ground and sunrays in slopped area. Image reproduced from Riaño et al. (2003).
Geometric illustration shows all angles involved in calculating the incidence angle between normal to the ground and sunrays in slopped area. Image reproduced from Riaño et al. (2003).

Fig. 4

A – NIR-R-B False color composite of LAPAN-A3 and after applying topographic correction algorithms: B – cosine correction, C – improved cosine correction, D – Minnaert correction, E – modifed Minnaert correction, and F – two-stage normalization.
A – NIR-R-B False color composite of LAPAN-A3 and after applying topographic correction algorithms: B – cosine correction, C – improved cosine correction, D – Minnaert correction, E – modifed Minnaert correction, and F – two-stage normalization.

Fig. 5

Scatter plots and regression lines between the pixel value and local illumination (cos γi) over Near-infrared band for 3942 taken from both Precorrected (A) and corrected image using: B – cosine correction (Teillet et al. 1982), C – modified-cosine correction (Civco 1989), D – Minnaert correction (Minnaert 1941), E – modified Minnaert correction (Riaño et al. 2003), and F – two-stages normalization (Civco 1989) modified by (Law & Nichol 2004).
Scatter plots and regression lines between the pixel value and local illumination (cos γi) over Near-infrared band for 3942 taken from both Precorrected (A) and corrected image using: B – cosine correction (Teillet et al. 1982), C – modified-cosine correction (Civco 1989), D – Minnaert correction (Minnaert 1941), E – modified Minnaert correction (Riaño et al. 2003), and F – two-stages normalization (Civco 1989) modified by (Law & Nichol 2004).

Statistics of pixel value before and after topographic correction. A negative value indicates an increase in coefficient variation after correction. Bold and highlighted value indicated the best performed algorithm (σ is the standard deviation, cv is the correlation coefficient, and R is the correlation coefficient).

Algorithm Stats Band
NIR R G B
Precorrected Ori mean 13340.19 8434.89 9639.64 277.14
σ 2070.84 3007.36 1579.32 533.12
cv 15.52 35.65 16.38 192.37
Corrected cosine correction mean 14757.97 9210.36 10686.45 280.60
R 0.69 0.29 0.65 0.15
σ 3688.53 3444.89 2992.48 540.96
cv 24.99 37.40 28.00 192.79
cvdifference −9.47 −1.75 −11.62 −0.42
improved cosine correction mean 13061.56 8196.82 9467.50 258.26
R 0.65 0.14 0.60 0.14
σ 2239.93 2773.34 1798.05 500.44
cv 17.15 33.83 18.99 193.77
cvdifference −1.63 1.82 −2.61 −1.40
Minnaert correction mean 13929.20 8749.86 10073.39 278.58
R 0.24 0.06 0.28 0.16
σ 2019.77 2899.01 1615.29 536.34
cv 14.50 33.13 16.04 192.53
cvdifference 1.02 2.52 0.35 −0.16
modified Minnaert correction mean 13542.25 8549.51 9819.09 276.68
R 0.20 0.08 0.21 0.16
σ 1764.99 2921.02 1603.82 534.63
cv 13.03 34.17 16.33 193.23
cvdifference 2.49 1.49 0.05 −0.86
two-stages normalization mean 13061.56 8196.82 9467.50 258.26
R 0.66 0.14 0.60 0.14
σ 2239.93 2773.34 1798.05 500.44
cv 17.15 33.83 18.99 193.77
cvdifference −1.63 1.82 −2.61 −1.40
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