演講公告

演講主題：Inverse problems and medical imaging
主講人：Bastian von Harrach 教授 (法蘭克福大學)
演講日期：2020年3月17日(星期二) 14:00 –15:00
演講地點：(光復校區) 科學一館223室
茶會時間：當天下午13:30 (科學一館205室)
摘要內容：
Abstract. Medical diagnosis has been revolutionized by noninvasive imaging methods such as computerized tomography (CT) and magnetic resonance imaging (MRI). These great technologies are based on mathematics. If the patient's interior was known then we could numerically simulate the outcome of physical measurements performed on the patient. Medical imaging requires solving the corresponding inverse problem of determining the patient's interior from the performed measurements.

In this talk, we will give an introduction to inverse problems in medical imaging, and discuss the mathematical challenges in newly emerging techniques such as electrical impedance tomography (EIT), where electrical currents are driven through a patient to image its interior. EIT leads to the inverse problem of determining the coefficient in a partial differential equation from (partial) knowledge of its solutions. We will describe recent mathematical advances on this problem that are based on monotonicity relations and the concept of localized potentials.
相關檔案：TALK_1090317.pdf

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