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Spatial resolution properties of penalized-likelihood image reconstruction: space-invariant tomographs
Open accessAbstract
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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Metadata
- Authors
- Fessler, J. A., & Rogers, W. L.
- Venue
- IEEE Transactions on Image Processing
- Published
- 1996-09
- Volume
- 5
- Issue
- 9
- Pages
- 1346-1358
- ISSN
- 1057-7149 (ISSN-L)
- 1941-0042
- OpenAlex
- W2121570028
- Cited by
- 518
- References
- 0
- FWCI
- 4.40
- Type
- journal article
- Language
- en
- Open access
- green
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- Fessler, J. A., & Rogers, W. L. (1996). Spatial resolution properties of penalized-likelihood image reconstruction: space-invariant tomographs. IEEE Transactions on Image Processing. https://doi.org/10.1109/83.535846
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