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Contributors Preface 1. Convolution and Related Concepts (Peter A. Jansson) 2. Distortion of Optical Spectra (Peter A. Jansson) 3. Traditional Linear Deconvolution Methods (Peter A. Jansson) 4. Modern Constrained Nonlinear Methods (Peter A. Jansson) 5. Convergence of Relaxation Algorithms (Paul Benjamin Crilly) 6. Instrumental Considerations (William E. Blass and George W. Halsey) 7. Deconvolution Examples (Paul Benjamin Crilly, William E. Blass, and George W. Halsey) 8. Application to Electron Spectroscopy for Chemical Analysis (Robert D. Davies and Peter A. Jansson) 9. Deconvolution in Optical Microscopy (Jason R. Swedlow, John W. Sedat, and David A. Agard) 10. Deconvolution of Hubble Space Telescope Images and Spectra (Robert J. Hanisch, Richard L. White, and Ronald L. Gilliland) 11. Maximum Probable Estimates of Spectra (B. Roy Frieden) 12. Fourier Spectrum Continuation (Samuel J. Howard) 13. Minimum-Negativity-Constrained Fourier Spectrum Continuation (Samuel J. Howard) 14. Alternating Projections onto Convex Sets (Robert J. Marks II) Index