2021/01/13 by Tatiana Latychevskaia · 4 citations
Engineering · Mathematics · Physics and Astronomy · #Advanced Optical Imaging Technologies #Advanced X-ray Imaging Techniques #Algorithm #Artificial intelligence #Blind deconvolution #Computer science #Deconvolution #Diffraction #Digital Holography and Microscopy #Holography #Limit (mathematics) #Mathematics #Optics #Physics #Point spread function #Resolution (logic) #Sample (material) #Wavefront #Wiener deconvolution #Wiener filter #physics.comp-ph #physics.optics
paper · pdf · doi:10.1364/ao.412736
published in Applied Optics 60(5), 1304 (Optica Publishing Group)
openalex publication_date 2021/01/13 · arxiv created 2022/01/10 · arxiv updated 2022/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Methods of three-dimensional deconvolution (3DD) or volumetric deconvolution of optical complex-valued wavefronts diffracted by 3D samples with the 3D point spread function are presented. Particularly, the quantitative correctness of the recovered 3D sample distributions is addressed. Samples consisting of point-like objects can be retrieved from their 3D diffracted wavefronts with non-iterative (Wiener filter) 3DD. Continuous extended samples, including complex-valued (phase) samples, can be retrieved with iterative (Gold and Richardson-Lucy) 3DD algorithms. It is shown that quantitatively correct 3D sample distribution can be recovered only with iterative 3DD, and with the optimal protocols provided. It is demonstrated that 3DD can improve the lateral resolution to the resolution limit, and the axial resolution can be at least four times better than the resolution limit. The presented 3DD methods of complex-valued optical fields can be applied for 3D optical imaging and holography.