We consider the problem of recovering the conductivity of an object from knowledge of the magnitude of one current density field in its interior. A known voltage potential is assumed imposed at the boundary. We prove identifiability and propose an iterative reconstruction procedure. The computational feasibility of this procedure is demonstrated in some numerical experiments.
机构:
Univ Toronto, Edward S Rogers Sr Dept Elect & Comp Engn, Dept Math, Toronto, ON, CanadaUniv Toronto, Edward S Rogers Sr Dept Elect & Comp Engn, Dept Math, Toronto, ON, Canada
Nachman, Adrian
Tamasan, Alexandru
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Univ Cent Florida, Dept Math, Orlando, FL USAUniv Toronto, Edward S Rogers Sr Dept Elect & Comp Engn, Dept Math, Toronto, ON, Canada
Tamasan, Alexandru
Timonov, Alexandre
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Univ S Carolian Upstate, Div Math & Comp Sci, Spartanburg, SC USAUniv Toronto, Edward S Rogers Sr Dept Elect & Comp Engn, Dept Math, Toronto, ON, Canada
机构:
Southeast Univ, ST Yau Ctr, Sch Math, Nanjing 210096, Peoples R China
Nanjing Ctr Appl Math, Nanjing 211135, Peoples R ChinaSoutheast Univ, ST Yau Ctr, Sch Math, Nanjing 210096, Peoples R China
Liu, J. J.
Sun, C. L.
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Nanjing Univ Aeronaut & Astronaut, Coll Sci, Nanjing 211106, Peoples R China
Nanjing Ctr Appl Math, Nanjing 211135, Peoples R ChinaSoutheast Univ, ST Yau Ctr, Sch Math, Nanjing 210096, Peoples R China
Sun, C. L.
Yamamoto, M.
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Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, JapanSoutheast Univ, ST Yau Ctr, Sch Math, Nanjing 210096, Peoples R China
机构:
Chinese Univ Hong Kong, Dept Comp Sci & Engn, Shatin, Hong Kong, Peoples R ChinaChinese Univ Hong Kong, Dept Comp Sci & Engn, Shatin, Hong Kong, Peoples R China
Or, SH
Wong, TT
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Chinese Univ Hong Kong, Dept Comp Sci & Engn, Shatin, Hong Kong, Peoples R ChinaChinese Univ Hong Kong, Dept Comp Sci & Engn, Shatin, Hong Kong, Peoples R China
机构:
Mem Sloan Kettering Canc Ctr, Sloan Kettering Inst, Program Computat & Syst Biol, New York, NY 10021 USAMem Sloan Kettering Canc Ctr, Sloan Kettering Inst, Program Computat & Syst Biol, New York, NY 10021 USA
van Dijk, David
Sharma, Roshan
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Mem Sloan Kettering Canc Ctr, Sloan Kettering Inst, Program Computat & Syst Biol, New York, NY 10021 USA
Columbia Univ, Dept Appl Phys & Appl Math, New York, NY USAMem Sloan Kettering Canc Ctr, Sloan Kettering Inst, Program Computat & Syst Biol, New York, NY 10021 USA
Sharma, Roshan
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Nainys, Juozas
Yim, Kristina
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Yale Univ, Dept Comp Sci, Dept Genet, New Haven, CT 06520 USAMem Sloan Kettering Canc Ctr, Sloan Kettering Inst, Program Computat & Syst Biol, New York, NY 10021 USA
Yim, Kristina
Kathail, Pooja
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Mem Sloan Kettering Canc Ctr, Sloan Kettering Inst, Program Computat & Syst Biol, New York, NY 10021 USA
Columbia Univ, Dept Biol Sci, New York, NY 10027 USAMem Sloan Kettering Canc Ctr, Sloan Kettering Inst, Program Computat & Syst Biol, New York, NY 10021 USA
Kathail, Pooja
Carr, Ambrose J.
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Mem Sloan Kettering Canc Ctr, Sloan Kettering Inst, Program Computat & Syst Biol, New York, NY 10021 USA
Columbia Univ, Dept Biol Sci, New York, NY 10027 USAMem Sloan Kettering Canc Ctr, Sloan Kettering Inst, Program Computat & Syst Biol, New York, NY 10021 USA
Carr, Ambrose J.
Burdziak, Cassandra
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Mem Sloan Kettering Canc Ctr, Sloan Kettering Inst, Program Computat & Syst Biol, New York, NY 10021 USAMem Sloan Kettering Canc Ctr, Sloan Kettering Inst, Program Computat & Syst Biol, New York, NY 10021 USA
Burdziak, Cassandra
Moon, Kevin R.
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机构:
Yale Univ, Dept Comp Sci, Dept Genet, New Haven, CT 06520 USA
Yale Univ, Program Appl Math, New Haven, CT USAMem Sloan Kettering Canc Ctr, Sloan Kettering Inst, Program Computat & Syst Biol, New York, NY 10021 USA
Moon, Kevin R.
Chaffer, Christine L.
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机构:
Garvan Inst Med Res, Darlinghurst, NSW, AustraliaMem Sloan Kettering Canc Ctr, Sloan Kettering Inst, Program Computat & Syst Biol, New York, NY 10021 USA
Chaffer, Christine L.
Pattabiraman, Diwakar
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机构:
Whitehead Inst Biomed Res, Cambridge, MA 02142 USAMem Sloan Kettering Canc Ctr, Sloan Kettering Inst, Program Computat & Syst Biol, New York, NY 10021 USA
Pattabiraman, Diwakar
Bierie, Brian
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Whitehead Inst Biomed Res, Cambridge, MA 02142 USAMem Sloan Kettering Canc Ctr, Sloan Kettering Inst, Program Computat & Syst Biol, New York, NY 10021 USA
Bierie, Brian
Mazutis, Linas
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Mem Sloan Kettering Canc Ctr, Sloan Kettering Inst, Program Computat & Syst Biol, New York, NY 10021 USAMem Sloan Kettering Canc Ctr, Sloan Kettering Inst, Program Computat & Syst Biol, New York, NY 10021 USA
Mazutis, Linas
Wolf, Guy
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机构:
Yale Univ, Program Appl Math, New Haven, CT USAMem Sloan Kettering Canc Ctr, Sloan Kettering Inst, Program Computat & Syst Biol, New York, NY 10021 USA