Image Filtering by Factorial Kriging—Sensitivity analysis and application to Gloria side-scan sonar images |
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| Authors: | Renjun Wen and Richard Sinding-Larsen |
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| Institution: | (1) Department of Geology and Mineral Resource Engineering, Norwegian University of Science and Technology, N-7034 Trondheim, Norway |
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| Abstract: | Factorial Kriging (FK) is a data- dependent spatial filtering method that can be used to remove both independent and correlated
noise on geological images as well as to enhance lineaments for subsequent geological interpretation. The spatial variability
of signal, noise, and lineaments, characterized by a variogram model, have been used explicitly in calculating FK filter coefficients
that are equivalent to the kriging weighting coefficients. This is in contrast to the conventional spatial filtering method
by predefined, data-independent filters, such as Gaussian and Sobel filters. The geostatistically optimal FK filter coefficients,
however, do not guarantee an optimal filtering effect, if filter geometry (size and shape) are not properly selected. The
selection of filter geometry has been investigated by examining the sensitivity of the FK filter coefficients to changes in
filter size as well as variogram characteristics, such as nugget effect, type, range of influence, and anisotropy. The efficiency
of data-dependent FK filtering relative to data-independent spatial filters has been evaluated through simulated stochastic
images by two examples. In the first example, both FK and data-independent filters are used to remove white noise in simulated
images. FK filtering results in a less blurring effect than the data-independent fillers, even for a filter size as large
as 9 × 9. In the second example, FK and data-independent filters are compared relative to the extraction of lineaments and
components showing anisotropic variability. It was determined that square windows of the filter mask are effective only for
removing Isotropie components or white noise. A nonsquare windows must be used if anisotropic components are to be filtered
out. FK filtering for lineament enhancement is shown to be resistant to image noise, whereas data-independent filters are
sensitive to the presence of noise. We also have applied the FK filtering to the GLORIA side-scan sonar image from the Gulf
of Mexico, illustrating that FK is superior to the data-independent filters in removing noise and enhancing lineaments. The
case study also demonstrate that variogram analysis and FK filtering can be used for large images if a spectral analysis and
optimal filter design in the frequency domain is prohibitive because of a large memory requirement. |
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| Keywords: | factorial kriging image filtering lineament enhancement sensitivity analysis side-scan sonar images |
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