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![]() | Exploring three-dimensional implicit wavefield extrapolation with the helix transform | ![]() |
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sixth Figure A-1. The second-derivative operator in the wavenumber domain and its approximations. |
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laplace Figure B-1. The numerical anisotropy error of different Laplacian approximations. Both the five-point Laplacian (plot a) and its rotated version (plot b) are accurate along the axes, but exhibit significant anisotropy in between at large wavenumbers. The nine-point McClellan filter (plot c) has a reduced error, while the filter with ![]() |
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Under the helix transform, a filter of the general form
(B-2) becomes equivalent to a one-dimensional filter with
the transform
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inv-laplace Figure B-2. Inverting the Laplacian operator by a helix deconvolution. The top left plot shows the input, which contains a single spike and the causal minimum-phase filter ![]() |
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![]() | Exploring three-dimensional implicit wavefield extrapolation with the helix transform | ![]() |
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