Unsupervised Segmentation of 3D and 2D Seismic Reflection Data
K. Koester, M. Spann
Accepted for publication in Int. J. of Pattern Rec. and Artificial Int.,
Sept 1998
Abstract
This paper describes an unsupervised method to extract 2D and 3D inner
earth structures from seismic reflection measurements. The
application is a typical texture segmentation problem, which can be
split up into a feature extraction stage and a segmentation
stage. As a texture feature, the locally emergent frequency is estimated
by a Gabor filter bank. The instantaneous frequency (IF)
has already been successfully used for seismic trace analysis
and will be compared with the results of the filter bank.
The second stage of the algorithm involves a region-growing method
to compute the final object structure. The extremely flexible segmentation
scheme is appropriate for application to 2D and 3D images of arbitrary
vectorial dimension. The merging decision is based on the mutual inlier
ratio of two adjacent regions. This ratio is computed by robust regression
techniques to avoid noise artifacts. A mutual inlier ratio
discrimination function to recognise identical Gaussian distributions,
guaranteeing a 97.5\% certainty, is derived. This method is compared with
the Kolmogorov-Smirnov test and results of the application in a segmentation
algorithm are shown. The segmentation stage is also tested
with different benchmark data sets from other computer vision problems
to demonstrate its general flexibility.
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