Compressive sensing

  • US 9,632,193 B2
  • Filed: 10/31/2014
  • Issued: 04/25/2017
  • Est. Priority Date: 11/01/2013
  • Status: Active Grant
First Claim
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1. A computer-implemented method for determining optimal sampling grid during seismic data reconstruction, the method comprising:

  • a) constructing an optimization model, via a computing processor, given by minu

    Su∥

    1 s.t. ∥

    Ru−

    b∥

    2

    σ

    wherein S is a discrete transform matrix, b is seismic data on an observed grid, u is seismic data on a reconstruction grid, σ

    represents noise level in observed data, and matrix R is a sampling operator;

    b) defining mutual coherence as

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