Wavelet methods for a weighted sparsity penalty for region of interest tomography.Quinto, Eric Todd.
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