Wavelet methods for a weighted sparsity penalty for region of interest tomography

Quinto, Eric Todd
Klann, Esther
Ramlau, Ronny

We consider region of interest (ROI) tomography of piecewise constant functions.We prove that continuous ROI data determine piecewise constant functions. Additionally,an algorithm is developed for ROI tomography of piecewise constant functionsusing a Haar wavelet basis. A weighted `p–penalty is used with weights that depend on therelative location of wavelets to the region of interest. We prove th... read more

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Inverse Problems 31(2015) 025001
ID: tufts:sd.0000502
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