Denoising Seismic Data via a Threshold Shrink Method in the Non-Subsampled Contourlet Transform Domain

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td class="align_left">Noisy data</td><td class="align_center">Hard thresholding</td><td class="align_center">Soft thresholding</td><td class="align_center">Shrink thresholding</td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td class="align_left">−6.4468</td><td class="align_center">6.4325</td><td class="align_center">6.8746</td><td class="align_center">7.2314</td></tr><tr><td class="align_left">0.4326</td><td class="align_center">14.2376</td><td class="align_center">14.3628</td><td class="align_center">15.3071</td></tr><tr><td class="align_left">5.6183</td><td class="align_center">16.9283</td><td class="align_center">17.1426</td><td class="align_center">17.9552</td></tr><tr><td class="align_left">8.6341</td><td class="align_center">21.6875</td><td class="align_center">22.4328</td><td class="align_center">22.9457</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Comparison of various SNRs before denoising and after denoising in the NSCT domain (dB).</div>

Mathematical Problems in Engineering

tab2

Table 2

Table 2: Denoising Seismic Data via a Threshold Shrink Method in the Non-Subsampled Contourlet Transform Domain 