Combined denoising method based on curvelet transform and singular value decomposition
A singular value decomposition and curvelet transform technology, applied in the field of exploration geophysics, can solve problems such as poor effect of curved or crossed events, low calculation efficiency, and artifacts
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Embodiment 1
[0048] Such as figure 1 as shown, figure 1 It is a flowchart of the joint denoising method based on curvelet transform and singular value decomposition of the present invention. In step 101, a seismic section that needs noise suppression is selected. The process goes to step 102.
[0049] In step 102, denoising processing is performed on the seismic section by using the curvelet transform threshold method. figure 2 It is the schematic diagram of the principle of the curvelet transform based on the joint denoising method of curvelet transform and singular value decomposition of the present invention. When utilizing the curvelet transform threshold method for denoising, the basic relationship of the curvelet transform in the frequency domain is represented by the following formula:
[0050]
[0051] In the formula: c(j,l,k) is the curvelet coefficient, j is the scale parameter, l is the angle parameter, k is the orientation parameter, is the input of the curvelet transfor...
Embodiment 2
[0064] In step 1, the curvelet transform is used to denoise with the threshold method. At this time, the basic relationship of the curvelet transform in the frequency domain is expressed by the following formula:
[0065]
[0066] In the formula: c(j,l,k) is the curvelet coefficient, j is the scale parameter, l is the angle parameter, k is the orientation parameter, f(x) is the input of the curvelet transform, for scale 2 -j , direction θ l , at of Qu Bo.
[0067] In step 1, the main method is as follows: first, perform curvelet forward transformation on the two-dimensional actual seismic records, transform it into the curvelet domain, and obtain multiple corresponding curvelet coefficients; then perform threshold processing on these curvelet coefficients, The curvelet coefficient greater than the threshold is regarded as the threshold corresponding to the effective signal, and is retained, and the curvelet coefficient smaller than the threshold is regarded as the curv...
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