AN IMPROVED TOTAL VARIATION TYPE REGULARIZATION FOR GEOPHYSICAL INVERSE PROBLEMS

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Mohammadi Gheymasi H.; GHOLAMI A.; SIAHKOOHI H.R.

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Seminar Paper

Paper Information

Seminar: IRANIAN GEOPHYSICS CONFERENCE
Year:2014 | Issue:16

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Title

AN IMPROVED TOTAL VARIATION TYPE REGULARIZATION FOR GEOPHYSICAL INVERSE PROBLEMS

Author(s)

Mohammadi Gheymasi H. | GHOLAMI A. | SIAHKOOHI H.R. | Issue Writer Certificate

Keywords

LOCAL ORDER REGULARIZATION

EDGE DETECTION

SPARSITY

TOTAL VARIATION

EDGE PRESERVING

GEOPHYSICAL INVERSE PROBLEMS

Abstract

DIFFERENT TYPES OF REGULARIZATION HAVE BEEN DEVELOPED TO OBTAIN STABLE SOLUTIONS TO LINEAR INVERSE PROBLEMS. AMONG THESE TOTAL VARIATION (TV) LEADS TO PIECEWISE CONSTANT SOLUTIONS AND HAS RECEIVED MUCH ATTENTION FOR SOLVING INVERSE PROBLEMS ARISING IN GEOPHYSICAL STUDIES. HOWEVER, THE METHOD SHOWS STAIRCASE EFFECTS AND IS NOT SUITABLE FOR THE MODELS INCLUDING SMOOTH REGIONS. TO OVERCOME THE STAIRCASE EFFECT, WE PRESENT A METHOD, WHICH EMPLOYS A LOCAL ORDER DIFFERENCE OPERATOR IN THE REGULARIZATION TERM. EXPERIMENTAL RESULT FROM THE REAL SEISMIC TRAVELTIME TOMOGRAPHY SHOW THAT THE PROPOSED INVERSION METHOD IS ABLE TO RETAIN THE SMOOTH REGIONS OF THE REGULARIZED SOLUTION, WHILE PRESERVING SHARP TRANSITIONS PRESENTED IN IT.

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APA: Copy

Mohammadi Gheymasi, H., GHOLAMI, A., & SIAHKOOHI, H.R.. (2014). AN IMPROVED TOTAL VARIATION TYPE REGULARIZATION FOR GEOPHYSICAL INVERSE PROBLEMS. IRANIAN GEOPHYSICS CONFERENCE. SID. https://sid.ir/paper/924718/en

Vancouver: Copy

Mohammadi Gheymasi H., GHOLAMI A., SIAHKOOHI H.R.. AN IMPROVED TOTAL VARIATION TYPE REGULARIZATION FOR GEOPHYSICAL INVERSE PROBLEMS. 2014. Available from: https://sid.ir/paper/924718/en

IEEE: Copy

H. Mohammadi Gheymasi, A. GHOLAMI, and H.R. SIAHKOOHI, “AN IMPROVED TOTAL VARIATION TYPE REGULARIZATION FOR GEOPHYSICAL INVERSE PROBLEMS,” presented at the IRANIAN GEOPHYSICS CONFERENCE. 2014, [Online]. Available: https://sid.ir/paper/924718/en

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