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Spatial resolution properties of penalized-likelihood image reconstruction: space-invariant tomographs

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2 Author(s)
Fessler, J.A. ; Michigan Univ., Ann Arbor, MI, USA ; Rogers, W.L.

This paper examines the spatial resolution properties of penalized-likelihood image reconstruction methods by analyzing the local impulse response. The analysis shows that standard regularization penalties induce space-variant local impulse response functions, even for space-invariant tomographic systems. Paradoxically, for emission image reconstruction, the local resolution is generally poorest in high-count regions. We show that the linearized local impulse response induced by quadratic roughness penalties depends on the object only through its projections. This analysis leads naturally to a modified regularization penalty that yields reconstructed images with nearly uniform resolution. The modified penalty also provides a very practical method for choosing the regularization parameter to obtain a specified resolution in images reconstructed by penalized-likelihood methods

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Image Processing, IEEE Transactions on  (Volume:5 ,  Issue: 9 )