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

Quinto, Eric Todd
Klann, Esther
Ramlau, Ronny
2015

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

This object is in collection:
Tufts Published Scholarship
Subjects
Tomography.
Permanent URL
http://hdl.handle.net/10427/009675
Original publication
Inverse Problems 31(2015) 025001
ID: tufts:sd.0000502
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Usage: Detailed Rights