Multi-frame blind deconvolution with linear equality constraints

摘要: The Phase Diverse Speckle (PDS) problem is formulated mathematically as Multi Frame Blind Deconvolution (MFBD) together with a set of Linear Equality Constraints (LECs) on the wavefront expansion parameters. This MFBD--LEC formulation quite general and, in addition to PDS, it allows same code handle variety different data collection schemes specified data, LECs, rather than code. It also relieves us from having derive new expressions for gradient parameter vector each type set. idea first presented simple that accommodates Diversity, Speckle, and Shack--Hartmann sensing. Then various generalizations are discussed, many other types sets be handled. Background: Unless auxiliary information used, single frame not well posed because object PSF cannot separated. There ways bringing bear problem. MFBD uses several frames which helps somewhat, solutions constrained by requirement same, but often enough get useful results without further constraints. One class methods constrain requiring PSFs correspond wavefronts over certain pupil geometry, expanded finite basis. an effective approach there still uniqueness phases can give PSF. Diversity more PDS special cases this MFBD, where observations usually arranged so in-focus collected intentionally defocused sacrificed aberrations. known differences similarities between used better estimates.