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Data regularization using Gaussian beams decomposition and sparse norms

  • Yanfei Wang EMAIL logo , Peng Liu , Zhenhua Li , Tao Sun , Changchun Yang and Qingsheng Zheng
Published/Copyright: February 1, 2013

Abstract.

We consider seismic data regularization problems in this paper. Gaussian beam decomposition model is proposed for seismic data representation. To solve the representation problem, an l0 quasi-norm minimization model with different smooth approximations is proposed. To solve the l0 quasi-norm minimization problem, a projected gradient method with nonmonotone choice of iterative steps is developed. Numerical simulations on one-dimensional and two-dimensional seismic imaging problems are performed to verify the feasibility of our methods.

Received: 2012-05-08
Published Online: 2013-02-01
Published in Print: 2013-02-01

© 2013 by Walter de Gruyter Berlin Boston

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