title: High-pass-filtered diffraction microtomography by coherent hard x rays for cell imaging: theoretical and numerical studies of the imaging and reconstruction principles.
abstract: This paper presents theoretical and numerical studies of diffraction tomography using hard x rays, from the viewpoint of imaging and reconstruction methods for cell imaging. The proposed system employs a single-perfect-crystal analyzer in symmetric Laue-case transmission geometry to efficiently detect the higher spatial frequency components of an object's refractive-index distribution, and to effectively suppress interference between the unperturbated wave field and the wave field diffracted by the object. This system features acquisition of a single projection by a single exposure using a simple geometry and aggressive use of diffracted x rays. We present the physical description of the imaging method using the Fourier diffraction theorem derived from the Born approximation. First, we demonstrate that the reconstruction leads to the phase-retrieval problem. We then describe a reconstruction algorithm based on the classical Gerchberg-Saxton-Fienup algorithm. Finally, we show the efficacy of this system by computer simulation. Our simulation demonstrates that the imaging system delineates microstructure 3.5 microm in diameter in a phase object 400 microm in diameter.
authors.affiliation: Department of Bio-System Engineering, Yamagata University, 4-3-16 Jonan, Yonezawa, Yamagata 992-8510, Japan. yuasa@eat72.yz.yamagata-u.ac.jp
authors.forename: Tetsuya
authors.initials: T
authors.lastname: Yuasa
authors.forename: Hiroshi
authors.initials: H
authors.lastname: Sugiyama
authors.forename: Zhong
authors.initials: Z
authors.lastname: Zhong
authors.forename: Anton
authors.initials: A
authors.lastname: Maksimenko
authors.forename: F Avraham
authors.initials: FA
authors.lastname: Dilmanian
authors.forename: Takao
authors.initials: T
authors.lastname: Akatsuka
authors.forename: Masami
authors.initials: M
authors.lastname: Ando
mesh_terms: D000465:Algorithms; D002477:Cells / Q000166:cytology / Q000000981:diagnostic imaging*; D003198:Computer Simulation; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D008954:Models, Biological; D019047:Phantoms, Imaging; D011856:Radiographic Image Enhancement / Q000379:methods; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D012815:Signal Processing, Computer-Assisted; D041623:Tomography, Optical Coherence / Q000295:instrumentation / Q000379:methods*; D014057:Tomography, X-Ray Computed / Q000295:instrumentation / Q000379:methods*; D014961:X-Ray Diffraction / Q000295:instrumentation / Q000379:methods*