Hengyong Yu et al 2009 Phys. Med. Biol. 54 N425 doi:10.1088/0031-9155/54/18/N04
Hengyong Yu1, Jiansheng Yang2, Ming Jiang2 and Ge Wang1
Show affiliationsRecently, in the compressed sensing framework we proved that an interior ROI can be exactly reconstructed via the total variation minimization if the ROI is piecewise constant. In the proofs, we implicitly utilized the property that if an artifact image assumes a constant value within the ROI, then this constant must be zero. Here we prove this property in the space of square integrable functions.
Issue 18 (21 September 2009)
Received 17 July 2009, in final form 11 August 2009
Published 28 August 2009
Hengyong Yu et al 2009 Phys. Med. Biol. 54 N425
Hengyong Yu and Ge Wang 2009 Phys. Med. Biol. 54 2791
Andrea Donini et al JHEP08(2009)041