Anisotropic kriging to derive missing coseismic displacement values obtained from synthetic aperture radar images

Muhammad Yaseen; Nicholas A. Hamm; Valentyn A. Tolpekin; Alfred Stein

doi:10.1117/1.JRS.7.073580

13 March 2013 Anisotropic kriging to derive missing coseismic displacement values obtained from synthetic aperture radar images

Muhammad Yaseen, Nicholas A. Hamm, Valentyn A. Tolpekin, Alfred Stein

Author Affiliations +

Journal of Applied Remote Sensing, Vol. 7, Issue 1, 073580 (March 2013). https://doi.org/10.1117/1.JRS.7.073580

Abstract

Coseismic displacements play a vital role in the characterization of geological faults and understanding earthquake dynamics. We demonstrate the utility of anisotropic geostatistics to interpolate their missing values. These were due to noncoherence of pre- and post-earthquake advanced synthetic aperture radar images obtained from the earthquake affected area around the city of Bam in Iran. A spherical function was used for modeling the variograms. Directional variograms revealed geometric and zonal anisotropy. The geometric anisotropy was reduced to isotropy by applying a linear transformation of the coordinates, whereas the complexity of zonal anisotropy is discussed. Results from the geometric anisotropy model indicated a continuation of the geological fault towards the north underneath the city of Bam. Cross-validation gave a mean error close to zero, whereas the root mean square error value was approximately 0.1 m, well below the detection limit of pixel-tracking technique. We conclude that ordinary kriging using a variogram model corrected for geometric anisotropy produced more accurate interpolation results than an isotropic model.

Citation Download Citation

Muhammad Yaseen, Nicholas A. Hamm, Valentyn A. Tolpekin, and Alfred Stein "Anisotropic kriging to derive missing coseismic displacement values obtained from synthetic aperture radar images," Journal of Applied Remote Sensing 7(1), 073580 (13 March 2013). https://doi.org/10.1117/1.JRS.7.073580

Published: 13 March 2013

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available