[OPTICAL REVIEW Vol. 3, No. 1 (1996) 22-28]

Microscopic Computed Tomography Based on Generalized Analytic Reconstruction from Discrete Samples

Susumu KIKUCHI,1 Akihiro MATSUYA,2 Masahiro YAMAGUCHI2 and Nagaaki OHYAMA2

1Applied Research Department, Olympus Optical Co., Ltd., 2-3, Kuboyama-cho, Hachioji, Tokyo, 192 Japan, 2Imaging Science and Engineering Laboratory, Tokyo Institute of Technology, 4259, Nagatsuta-cho, Midori-ku, Yokohama, 226 Japan

(Received June 9, 1995; Accepted November 15, 1995)

We propose a computed tomography (CT) for the incoherent optical system based on a generalized analytic reconstruction method from discrete samples (GARDS), by which an object image defined in a continuous space is reconstructed from discrete images acquired through the imaging system. We apply this method to reconstruct depth structures of micro-specimens using conventional fluorescence microscopes. Also, we discuss the optimal sampling distance in the depth direction through a generalized singular value decomposition of a continuous-to-discrete imaging system. We next apply the GARDS-based CT method to a double-axis microscope, in which two microscopes are set up perpendicularly to cover a missing frequency band of each microscopic imaging system. We show simulation results which verify the effectiveness of our proposed method.

Key words : image reconstruction, image estimation, computed tomography, microscope, double-axis optical system, generalized inverse, singular value decomposition, continuous-to-discrete model