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Inverse problems are problems wherein the law of causality is inverted to identify the cause of a phenomenon from its results. Non-invasive measurements in biomedical engineering are one type of inverse problem, in which unseen cancers inside human bodies or epileptic foci in human brains are located using measurements of electromagnetic fields. Non-destructive inspection of structures and materials in power plants is another significant example of an inverse problem, in which cracks or corrosion are identified from measurements of electromagnetic/ultrasonic waves.
In addition to estimating, designing the cause of a desirable results is also an inverse problem. In virtual reality, for example, designing physical fields such as ultrasonic waves is required to provide humans with artificial sensations or information. In biophysics, design and control of alignment of cells can be formulated as an inverse problem as well.
Our laboratory aims to develop unified mathematical theories as well as measurement methods for inverse problems applicable to this diverse range of fields.
Inverse problems are problems wherein the law of causality is inverted to identify the cause of a phenomenon from its results. Non-invasive measurements in biomedical engineering are one type of inverse problem, in which unseen cancers inside human bodies or epileptic foci in human brains are located using measurements of electromagnetic fields. Non-destructive inspection of structures and materials in power plants is another significant example of an inverse problem, in which cracks or corrosion are identified from measurements of electromagnetic/ultrasonic waves.
In addition to estimating, designing the cause of a desirable results is also an inverse problem. In virtual reality, for example, designing physical fields such as ultrasonic waves is required to provide humans with artificial sensations or information. In biophysics, design and control of alignment of cells can be formulated as an inverse problem as well.
Our laboratory aims to develop unified mathematical theories as well as measurement methods for inverse problems applicable to this diverse range of fields.
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arxiv(2023)
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IEEE Transactions on Medical Imagingno. 6 (2022): 1400-1409
Measurement: Sensors (2022)
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