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Ellipsoidal Harmonics by George Dassios

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16Applications to inverse problems

The construction of inversion algorithms provide challenging mathematical problems which shape the direction of research in modern science and technology. Medical imaging, non-destructive evaluation and testing, RADAR and SONAR technology, oil exploration, and remote sensing are some areas where mathematical modelling leads to inverse problems of contemporary interest. Keller [199] gives the following definition, “two problems are inverse of one another if the formulation of each involves all or part of the solution of the other,” and continues, “historically, one of the two problems has been studied extensively for some time, while the other is newer and not so well understood. The former is called the direct ...

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