from Hydro-International 2015
Satellite Derived Bathymetry Migration
From Laboratories to Chart Production Routine
Two SDB Methods in a Nutshell
- Empirical methods explore the statistical relationships between image pixel values and field measured water depths.
- Analytical approaches rely on the general principle that sea water transmittances at near-visible wavelengths are functions of a general optical equation dependent on the intrisinc optical properties of sea water. A number of external factors affect the accuracy of the depth calculation, including the spatial and spectral resolution of the imagery, the viewing angle of the satellite, the solar illumination angle, atmospheric effects, sunlight, tide level and submerged vegetation. Careful selection of satellite imagery and subsequent image processing can mitigate some of these effects.
|Anything in between? |
YES, see 4SM
4SM is an empirical "ratio method" operating a radiance inversion approach
which does not need any field measured water depths for calibration
- which relies on an understanding of the physics behind
- which requires the practioner to maintain physical consistency among parameters
- rather than rely on existing depth measurements and multiple regressions
- which assumes homogeneous atmospheric and water optical properties
- which, being a ratio method, does not need conversion of TOA DN radiances into BOA reflectance
- which uses bareland pixels in the image to specify the agronomer's Soil Line concept
- as a spectral reference for shallow pixels pixels at null depth
- this then leads to approximate estimation of the spectral atmospheric path radiance: no need for formal atmospheric correction,
- uses the "dark pixel" assumption
- which requires proper removal of sea-surface clutter (glint)
- which relies on the estimation of spectral opticaly deep water radiance from the image
- which relies on measuring the ratio KBLUE/KGREEN from shallow areas of the image, as proposed by Lyzenga
- which uses Jerlov's table of diffuse attenuation coefficients of marine waters for specifying spectral K in the visible range as a function on the ratio KBLUE/KGREEN observed for the shallow areas of the image, as observed by Kirk.
- which uses a visual display of the optical calibration diagram as a powerful tool to ascertain physical consistency of all parameters
- which then uses the inverted simplified radiative transfer equation (RTE) proposed by Maritorena et al 1994
- to optimize the estimation of derived depth which results in an acceptable fit of the water column corrected spectral bottom signature of each shallow pixel with the Soil Line
- although contrasted bottom signatures entail potentially severe bias on retrieved depth
- which then uses the image metadata to convert spectral water column corrected bottom signatures into calibrated reflectances (0-1), ready for bottom typing and time series studies.
- operational 2K~=2*a over the 0-10 m depth range
- this results in satellite derived depths calibrated in meters without the need/use of any field data for calibration purpose.
- this has been verified against many seatruth datasets, using SPOT, Landsat, IKONOS, WV2, QUICKBIRD, CASI, HYPERION and HICO.
4SM in a nutshell:
- 4SM operates the "simplified radiative transfer equation" as suggested by Maritorena, Morel and Gentilly, 1994, under the proviso that both atmosphere and water column are homogeneous over the ROI, vertically ans spatially, and that sea-surface clutter has been removed (sun/sky glint).
- this means that most of the atmospheric/water_column complexities involved in analytical methods are rounded up into two variables:
- a TOA spectral Lsw deep water radiance term or a BOA Lw deep water radiance term
- a spectral two-ways diffuse attenuation coefficient 2K term in units of 1/m
- therefore, the spectral TOA signal is Ls=Lsw+LsB-Lsw)/exp(2K_Z) in units of image DNs
- therefore, the spectral BOA signal is L =Lw +LB -Lw )/exp(2K_Z) in units of image DNs
- La is the atmospheric path radiance,
- Lsw is the TOA deep water radiance (backscatter light flux)
- Lw is the BOA deep water radiance (backscatter light flux)
- BOA=base of atmosphere,
- TOA=top of atmosphere,
- "spectral" means "for all visible operational wavelengths in the image"
- operating the simplified RTE (aka "inverting the model") is done by increasing water depth Z in units of meters: LB=Lw+(LB-Lw)*exp(2K*Z)
- until the BOA LB spectrum is deemed to match closely the Soil Line that has been observed over bare dryland in the image
- this is an optimization process
- this requires knowledge of applicable spectral 2K in units of 1/m
- this is gained by estimating the ratio Ki/Kj for all pairs of visibles bands in the image, as directed by Lyzenga
- then interpolating Kblue and Kgreen using Jerlov's table of diffuse attenuation in water for downwelling sun light
- then using Kblue or Kgreen to interpolate all Ki for visible bands
- because 4SM is a "ratio method", radiance terms need not to be specified in units of calibrated reflectance,
- therefore there is no need for formal atmospheric correction
- nor for conversion of the water leaving signal into calibrated reflectance.
- 4SM does not require a LUT of bottom substrate endmembers
- 4SM runs 40 times faster than the fastest ALUT method, while yielding similar results
|Note from Sachak Pe'eri, NOAA, 2015 |
"For an algorithm that can be used by the hydrographic community on a COTS GIS software, a ratio transform algorithm based from an optimization approach provides a robust solution that does not require to sample the environment or generate a database. "
this applies to 4SM
Jupp's DOP zones
Lyzenga's log-linear inversion
Stumpf's non-linear inversion
reviews and comparisons
US Naval PostGraduate School
Jared KIBELE's KNN method, 2016
A machine learning method: very nteresting reading.
Uses a DTM to train his KNN method.
The training dataset must reference fairfuly all bottom substrates over the whole depth range in the scene.
4SM modeling performances
Dec 2013: I give up reporting, this is red hot!
Just see HYPHOON and join the crowd
|SDB: satellite derived bathymetry is now at the forefront |
useful and practical, even if lacking required hydrographic accuracy
"In short, SDB has been confirmed; not as an overrated exploration tool,
but as a new sensor capable of providing calibrated and validated depths to the marine cartographer."
IHO NOAA presentation IHO-IOC GEBCO Landsat 8 cookbook 2015
|ENVI-IDL: BOMBER |