Tomographic inversion using ℓ<sub><nobr>1</nobr></sub>-norm regularization of wavelet coefficients期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Tomographic inversion using ℓ₁-norm regularization of wavelet coefficients

Authors:	Ignace Loris Guust Nolet Ingrid Daubechies F A Dahlen

Institution:	Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ, USA;Dienst Theoretische Natuurkunde, Vrije Universiteit Brussel, Brussels, Belgium. E-mail:;Department of Geosciences, Princeton University, Princeton, NJ, USA

Abstract:	We propose the use of ?₁ regularization in a wavelet basis for the solution of linearized seismic tomography problems A m = d , allowing for the possibility of sharp discontinuities superimposed on a smoothly varying background. An iterative method is used to find a sparse solution m that contains no more fine-scale structure than is necessary to fit the data d to within its assigned errors.

Keywords:	inverse problem one-norm sparsity tomography wavelets