Thesis Structure. The remainder of the thesis is structured as follows. Chapter 2 presents background material and theories that are necessary for the development of our imaging algorithms and its validation and testing. Chapter 3 presents our novel microwave breast imaging algorithm based on an optimised two-step iterative shrinkage/thresholding method. Following that Chapter 4 presents an implementation of the multiple-frequency approach for MWI in various resolutions. Moreover, several improvement strategies based on the multiple-frequency DBIM-TwIST algorithm are presented in Chapter 5. Finally, Chapter 6 presents initial results from the application of the algorithm to data from a MWI experimental prototype. Chapter 2
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