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2nd Response to "Feasibility of 3D reconstruction from a single 2D diffraction measurement"

2009/10/01 by Jianwei Miao, Miao, Jianwei, Chien‐Chun Chen +2
Earth and Planetary Sciences · Physics and Astronomy · #Advanced X-ray Imaging Techniques #Digital Holography and Microscopy #FOS: Physical sciences #Geophysics (physics.geo-ph) #Optics (physics.optics) #Seismic Imaging and Inversion Techniques #physics.geo-ph #physics.optics

paper · pdf · doi:10.48550/arxiv.0910.0272

14 pages

arxiv created 2009/10/01 · openalex publication_date 2009/10/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present our 2nd response to Thibault's commentary article [1] and his reply [2], in which he commented upon our ankylography paper [3] and our 1st response [4]. In this article, we further explain why we think Thibault's theoretical analysis is flawed and his interpretation of our experiment is incorrect. Furthermore, we provide a quantitative analysis and a numerical experiment to illustrate why ankylography can in principle be applicable to general samples. Finally, we present detailed procedures for our numerical experiment on ankylographic reconstructions, which uses the traditional HIO algorithm only with the positivity constraint [5]. We welcome anyone (including Thibault) interested in ankylography to perform numerical experiments and verify our results. We will be very happy to provide any help if needed.

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