Differential phase contrast imaging using the phase retrieval of a Hilbert transform and noise filtering by low rank method

Jae Suk Yang; Myung Joon Kwack; Soo Yeul Lee; Jang Hwan Choi

doi:10.1117/12.2521975

Differential phase contrast imaging using the phase retrieval of a Hilbert transform and noise filtering by low rank method

Jae Suk Yang, Myung Joon Kwack, Soo Yeul Lee, Jang Hwan Choi

Department of Mechanical & Biomedical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

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.

Original language	English
Title of host publication	International Forum on Medical Imaging in Asia 2019
Editors	Jong Hyo Kim, Feng Lin, Hiroshi Fujita
Publisher	SPIE
ISBN (Electronic)	9781510627758
DOIs	https://doi.org/10.1117/12.2521975
State	Published - 2019
Event	International Forum on Medical Imaging in Asia 2019 - Singapore, Singapore Duration: 7 Jan 2019 → 9 Jan 2019

Publication series

Name	Proceedings of SPIE - The International Society for Optical Engineering
Volume	11050
ISSN (Print)	0277-786X
ISSN (Electronic)	1996-756X

Conference

Conference	International Forum on Medical Imaging in Asia 2019
Country/Territory	Singapore
City	Singapore
Period	7/01/19 → 9/01/19

Bibliographical note

Funding Information:
This research was supported by the National Research Foundation of Korea (NRF) grant funded by the Korean government, MSIP (grant no: NRF-2017R1C1B5018287, and NRF2017M2A2A6A020 70522, URL: http://nrf.re.kr). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.

Publisher Copyright:
© 2019 SPIE.

Keywords

Differential phase contrast imaging
Hilbert transform
Low-rank
Phase unwrapping

Access to Document

10.1117/12.2521975

Cite this

Yang, J. S., Kwack, M. J., Lee, S. Y., & Choi, J. H. (2019). Differential phase contrast imaging using the phase retrieval of a Hilbert transform and noise filtering by low rank method. In J. H. Kim, F. Lin, & H. Fujita (Eds.), International Forum on Medical Imaging in Asia 2019 Article 110500I (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 11050). SPIE. https://doi.org/10.1117/12.2521975

Yang, Jae Suk ; Kwack, Myung Joon ; Lee, Soo Yeul et al. / Differential phase contrast imaging using the phase retrieval of a Hilbert transform and noise filtering by low rank method. International Forum on Medical Imaging in Asia 2019. editor / Jong Hyo Kim ; Feng Lin ; Hiroshi Fujita. SPIE, 2019. (Proceedings of SPIE - The International Society for Optical Engineering).

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abstract = "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.",

keywords = "Differential phase contrast imaging, Hilbert transform, Low-rank, Phase unwrapping",

author = "Yang, {Jae Suk} and Kwack, {Myung Joon} and Lee, {Soo Yeul} and Choi, {Jang Hwan}",

note = "Funding Information: This research was supported by the National Research Foundation of Korea (NRF) grant funded by the Korean government, MSIP (grant no: NRF-2017R1C1B5018287, and NRF2017M2A2A6A020 70522, URL: http://nrf.re.kr). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript. Publisher Copyright: {\textcopyright} 2019 SPIE.; International Forum on Medical Imaging in Asia 2019 ; Conference date: 07-01-2019 Through 09-01-2019",

year = "2019",

doi = "10.1117/12.2521975",

language = "English",

series = "Proceedings of SPIE - The International Society for Optical Engineering",

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Yang, JS, Kwack, MJ, Lee, SY & Choi, JH 2019, Differential phase contrast imaging using the phase retrieval of a Hilbert transform and noise filtering by low rank method. in JH Kim, F Lin & H Fujita (eds), International Forum on Medical Imaging in Asia 2019., 110500I, Proceedings of SPIE - The International Society for Optical Engineering, vol. 11050, SPIE, International Forum on Medical Imaging in Asia 2019, Singapore, Singapore, 7/01/19. https://doi.org/10.1117/12.2521975

Differential phase contrast imaging using the phase retrieval of a Hilbert transform and noise filtering by low rank method. / Yang, Jae Suk; Kwack, Myung Joon; Lee, Soo Yeul et al.
International Forum on Medical Imaging in Asia 2019. ed. / Jong Hyo Kim; Feng Lin; Hiroshi Fujita. SPIE, 2019. 110500I (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 11050).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Differential phase contrast imaging using the phase retrieval of a Hilbert transform and noise filtering by low rank method

AU - Yang, Jae Suk

AU - Kwack, Myung Joon

AU - Lee, Soo Yeul

AU - Choi, Jang Hwan

N1 - Funding Information: This research was supported by the National Research Foundation of Korea (NRF) grant funded by the Korean government, MSIP (grant no: NRF-2017R1C1B5018287, and NRF2017M2A2A6A020 70522, URL: http://nrf.re.kr). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript. Publisher Copyright: © 2019 SPIE.

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

KW - Differential phase contrast imaging

KW - Hilbert transform

KW - Low-rank

KW - Phase unwrapping

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U2 - 10.1117/12.2521975

DO - 10.1117/12.2521975

M3 - Conference contribution

AN - SCOPUS:85063895513

T3 - Proceedings of SPIE - The International Society for Optical Engineering

BT - International Forum on Medical Imaging in Asia 2019

A2 - Kim, Jong Hyo

A2 - Lin, Feng

A2 - Fujita, Hiroshi

PB - SPIE

T2 - International Forum on Medical Imaging in Asia 2019

Y2 - 7 January 2019 through 9 January 2019

ER -

Yang JS, Kwack MJ, Lee SY, Choi JH. Differential phase contrast imaging using the phase retrieval of a Hilbert transform and noise filtering by low rank method. In Kim JH, Lin F, Fujita H, editors, International Forum on Medical Imaging in Asia 2019. SPIE. 2019. 110500I. (Proceedings of SPIE - The International Society for Optical Engineering). doi: 10.1117/12.2521975

Differential phase contrast imaging using the phase retrieval of a Hilbert transform and noise filtering by low rank method

Abstract

Publication series

Conference

Bibliographical note

Keywords

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