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- W287087830 abstract "The null space is the origin of the non-uniqueness of solutions of linearized tomographic inversion. Usually its negative effects are dealt by introducing a priori information by means of constraints, covariance matrices and damping factors. In this paper a singular values analysis is introduced which allows to identify the null space causes: uncrossed pixels and linearly dependent rays. Both can be controlled or eliminated modifying properly the tomographic grid, accordingly to the estimated local reliability. Some synthetic examples are presented with a velocity distribution which is typical of the sea water, and the relationship between the acquisition geometry, the pixel distribution and the quality of results is discussed.KeywordsNull SpaceTomographic InversionAcquisition GeometryDual TomographyComputational PrecisionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
- W287087830 created "2016-06-24" @default.
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- W287087830 date "1995-01-01" @default.
- W287087830 modified "2023-09-25" @default.
- W287087830 title "Null Space Reduction in the Linearized Tomographic Inversion" @default.
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- W287087830 doi "https://doi.org/10.1007/978-94-015-8476-0_23" @default.
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