A reconstruction theory for intensity diffraction tomography (I-DT) has been proposed that permits reconstruction of a weakly scattering object without explicit knowledge of phase information. We investigate the I-DT reconstruction problem assuming an incident (paraxial) spherical wave and scanning geometries that employ fixed source-to-object distances. Novel reconstruction methods are derived by identifying and exploiting tomographic symmetries and the rotational invariance of the problem. An underlying theme is that symmetries in tomographic imaging systems can facilitate solutions for phase-retrieval problems. A preliminary numerical investigation of the developed reconstruction methods is presented.
© 2005 Optical Society of America
Original Manuscript: December 15, 2004
Revised Manuscript: April 22, 2005
Manuscript Accepted: May 6, 2005
Published: December 1, 2005
Mark A. Anastasio, Greg Gbur, Daxin Shi, and Yin Huang, "Image reconstruction in spherical-wave intensity diffraction tomography," J. Opt. Soc. Am. A 22, 2651-2661 (2005)