In this paper, a phase retrieval method using the Hilbert transform (HT) and low-rank method is proposed to obtain differential phase contrast (DPC) imaging. The method has the following advantages: 1. A single grating system can be implemented without the mechanical movement of the grating. 2. The complex computation of the phase retrieval method by the fast Fourier transform (FFT) method can be avoided. 3. The noise rejection by the low-rank can be handled due to fringes from the various energy bins. Specifically, the low-rank method is the singular value decomposition (SVD) by the rank-one property. The phase retrieval of the HT method and noise filtering by the lowrank method have been performed to validate the proposed method. The proposed method provided the clear boundary division between the sample area and the air area. The boundary division of the high energy image between the sample area and the air area was improved with the low rank method (resulting in a sharp division). Moreover, the profile of the DPC image obtained by HT had symmetrical form similar to the theoretical profile.

Date Published: 27 March 2019
PDF: 7 pages
Proc. SPIE 11050, International Forum on Medical Imaging in Asia 2019, 110500I (27 March 2019); doi: 10.1117/12.2521975

Published in SPIE Proceedings Vol. 11050:
International Forum on Medical Imaging in Asia 2019
Feng Lin; Hiroshi Fujita; Jong Hyo Kim, Editor(s)