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- [Takaaki Nara] Development of Mathematical Foundations of Indirect Measurement Based on Complex Analysis
Graduate School of Information Science and Technology, The University of Tokyo
Professor
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In modern society, indirect measurement is ubiquitous in which unknown information is transformed into the other physical quantity and is reconstructed mathematically from its measurement data. However, the conventional methods based on optimization requires an appropriate initial solution without which the algorithm is trapped by a local minimum. In this research, we introduce the profound mathematical properties of complex analysis into indirect measurement, and develop optimal measurement methodologies for bio-electromagnetic inverse problems, nondestructive testing of fuel cell and power plants, and search for the buried persons in avalanches, soil avalanches, and rubble in earthquake disasters.