The invention discloses a high-precision seismic
data reconstruction method based on two-dimensional non-uniform
curvelet transform. The high-precision seismic
data reconstruction method is characterized in that non-uniform
Fourier transform is adopted on the basis of multi-scale multidirectional two-dimensional
curvelet forward transform, forward and inverse transform operators between a
curvelet coefficient and seismic
missing data under spatial non-uniform sampling are established, a spectral projected
gradient method is adopted for inversion calculation to obtain a uniform curvelet coefficient under the minimal L1 norm constraint, and the uniform curvelet coefficient undergoes standard two-dimensional curvelet inverse transform
processing, thereby finally implementing the high-precision seismic
data reconstruction method based on two-dimensional non-uniform
curvelet transform. The high-precision seismic data
reconstruction method overcomes the defect that the traditional two-dimensional
curvelet transform method cannot reconstruct a seismic missing trace under non-uniform sampling, does not loss energy in the reconstruction process, has an anti-
aliasing function, significantly improves fidelity and a
signal-to-
noise ratio of reconstructed signals, protects weak effective wave signals, thus makes co-phase axes of
reflected waves more continuous, and is of reference significance in other fields.