title: A method for estimating spatial resolution of real image in the Fourier domain.
abstract: Spatial resolution is a fundamental parameter in structural sciences. In crystallography, the resolution is determined from the detection limit of high-angle diffraction in reciprocal space. In electron microscopy, correlation in the Fourier domain is used for estimating the resolution. In this paper, we report a method for estimating the spatial resolution of real images from a logarithmic intensity plot in the Fourier domain. The logarithmic intensity plots of test images indicated that the full width at half maximum of a Gaussian point spread function can be estimated from the images. The spatial resolution of imaging X-ray microtomography using Fresnel zone-plate optics was also estimated with this method. A cross section of a test object visualized with the imaging microtomography indicated that square-wave patterns up to 120-nm pitch were resolved. The logarithmic intensity plot was calculated from a tomographic cross section of brain tissue. The full width at half maximum of the point spread function estimated from the plot coincided with the resolution determined from the test object. These results indicated that the logarithmic intensity plot in the Fourier domain provides an alternative measure of the spatial resolution without explicitly defining a noise criterion.
authors.affiliation: Department of Applied Biochemistry, School of Engineering, Tokai University, Hiratsuka, Kanagawa, Japan.
authors.forename: Ryuta
authors.initials: R
authors.lastname: Mizutani
authors.affiliation: Department of Applied Biochemistry, School of Engineering, Tokai University, Hiratsuka, Kanagawa, Japan.
authors.forename: Rino
authors.initials: R
authors.lastname: Saiga
authors.affiliation: Department of Cell Biology, Division of Host Defense Mechanism, Tokai University School of Medicine, Isehara, Kanagawa, Japan.
authors.forename: Susumu
authors.initials: S
authors.lastname: Takekoshi
authors.affiliation: Department of Pathology, Tokai University School of Medicine, Isehara, Kanagawa, Japan.
authors.forename: Chie
authors.initials: C
authors.lastname: Inomoto
authors.affiliation: Department of Pathology, Tokai University School of Medicine, Isehara, Kanagawa, Japan.
authors.forename: Naoya
authors.initials: N
authors.lastname: Nakamura
authors.affiliation: Tokyo Metropolitan Institute of Medical Science, Setagaya, Tokyo, Japan.
authors.forename: Masanari
authors.initials: M
authors.lastname: Itokawa
authors.affiliation: Tokyo Metropolitan Institute of Medical Science, Setagaya, Tokyo, Japan.
authors.forename: Makoto
authors.initials: M
authors.lastname: Arai
authors.affiliation: Tokyo Metropolitan Institute of Medical Science, Setagaya, Tokyo, Japan.
authors.forename: Kenichi
authors.initials: K
authors.lastname: Oshima
authors.affiliation: Japan Synchrotron Radiation Research Institute (JASRI/SPring-8), Sayo, Hyogo, Japan.
authors.forename: Akihisa
authors.initials: A
authors.lastname: Takeuchi
authors.affiliation: Japan Synchrotron Radiation Research Institute (JASRI/SPring-8), Sayo, Hyogo, Japan.
authors.forename: Kentaro
authors.initials: K
authors.lastname: Uesugi
authors.affiliation: Japan Synchrotron Radiation Research Institute (JASRI/SPring-8), Sayo, Hyogo, Japan.
authors.forename: Yasuko
authors.initials: Y
authors.lastname: Terada
authors.affiliation: Japan Synchrotron Radiation Research Institute (JASRI/SPring-8), Sayo, Hyogo, Japan.
authors.forename: Yoshio
authors.initials: Y
authors.lastname: Suzuki
keywords: Micro-CT; Reciprocal space; Resolution; Tomography