کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
473884 | 698821 | 2010 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Born expansion and Fréchet derivatives in nonlinear Diffuse Optical Tomography
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
The nonlinear Diffuse Optical Tomography (DOT) problem involves the inversion of the associated coefficient-to-measurement operator, which maps the spatially varying optical coefficients of turbid medium to the boundary measurements. The inversion of the coefficient-to-measurement operator is approximated by using the Fréchet derivative of the operator. In this work, we first analyze the Born expansion, show the conditions which ensure the existence and convergence of the Born expansion, and compute the error in the mth order Born approximation. Then, we derive the mth order Fréchet derivatives of the coefficient-to-measurement operator using the relationship between the Fréchet derivatives and the Born expansion.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 59, Issue 11, June 2010, Pages 3377–3397
Journal: Computers & Mathematics with Applications - Volume 59, Issue 11, June 2010, Pages 3377–3397
نویسندگان
Kiwoon Kwon, Birsen Yazıcı,