An Inverse Problem in Thermal Imaging | Zendy

Kurt Bryan | Zendy; Lester Caudill | Zendy

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An Inverse Problem in Thermal Imaging

Author(s) -

Kurt Bryan,

Lester Caudill

Publication year - 1996

Publication title -

siam journal on applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.954

H-Index - 99

eISSN - 1095-712X

pISSN - 0036-1399

DOI - 10.1137/s0036139994277828

Subject(s) - inverse problem , uniqueness , boundary (topology) , inversion (geology) , inverse , mathematics , heat flux , mathematical analysis , stability (learning theory) , object (grammar) , boundary value problem , thermal , point (geometry) , computer science , geometry , physics , heat transfer , mechanics , thermodynamics , geology , artificial intelligence , paleontology , structural basin , machine learning

This paper examines uniqueness and stability results for an inverse problem in thermalimaging. The goal is to identify an unknown boundary of an object by applying a heat fluxand measuring the induced temperature on the boundary of the sample. The problem isstudied both in the case in which one has data at every point on the boundary of the regionand the case in which only finitely many measurements are available. An inversion procedureis developed and used to study the stability of the...

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