Compressive Phase Retrieval Realized by Combining Generalized Approximate Message Passing with Cartoon-Texture Model

Jingjing SI; Jing XIANG; Yinbo CHENG; Kai LIU

doi:10.1587/transfun.E101.A.1608

Compressive Phase Retrieval Realized by Combining Generalized Approximate Message Passing with Cartoon-Texture Model

Jingjing SI, Jing XIANG, Yinbo CHENG, Kai LIU

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Generalized approximate message passing (GAMP) can be applied to compressive phase retrieval (CPR) with excellent phase-transition behavior. In this paper, we introduced the cartoon-texture model into the denoising-based phase retrieval GAMP(D-prGAMP), and proposed a cartoon-texture model based D-prGAMP (C-T D-prGAMP) algorithm. Then, based on experiments and analyses on the variations of the performance of D-PrGAMP algorithms with iterations, we proposed a 2-stage D-prGAMP algorithm, which makes tradeoffs between the C-T D-prGAMP algorithm and general D-prGAMP algorithms. Finally, facing the non-convergence issues of D-prGAMP, we incorporated adaptive damping to 2-stage D-prGAMP, and proposed the adaptively damped 2-stage D-prGAMP (2-stage ADD-prGAMP) algorithm. Simulation results show that, runtime of 2-stage D-prGAMP is relatively equivalent to that of BM3D-prGAMP, but 2-stage D-prGAMP can achieve higher image reconstruction quality than BM3D-prGAMP. 2-stage ADD-prGAMP spends more reconstruction time than 2-stage D-prGAMP and BM3D-prGAMP. But, 2-stage ADD-prGAMP can achieve PSNRs 0.2∼3dB higher than those of 2-stage D-prGAMP and 0.3∼3.1dB higher than those of BM3D-prGAMP.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E101-A No.9 pp.1608-1615

Publication Date: 2018/09/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.E101.A.1608

Type of Manuscript: LETTER

Category: Image

Authors

Jingjing SI
  Yanshan University,the Hebei Key Laboratory of Information Transmission and Signal Processing
Jing XIANG
  Yanshan University,the Hebei Key Laboratory of Information Transmission and Signal Processing
Yinbo CHENG
  Ocean College of Hebei Agricultural University
Kai LIU
  Yanshan University,the Hebei Key Laboratory of Information Transmission and Signal Processing

Keyword

compressive phase retrieval, generalized approximate message passing, cartoon-texture model, adaptive damping

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Jingjing SI, Jing XIANG, Yinbo CHENG, Kai LIU, "Compressive Phase Retrieval Realized by Combining Generalized Approximate Message Passing with Cartoon-Texture Model" in IEICE TRANSACTIONS on Fundamentals, vol. E101-A, no. 9, pp. 1608-1615, September 2018, doi: 10.1587/transfun.E101.A.1608.
Abstract: Generalized approximate message passing (GAMP) can be applied to compressive phase retrieval (CPR) with excellent phase-transition behavior. In this paper, we introduced the cartoon-texture model into the denoising-based phase retrieval GAMP(D-prGAMP), and proposed a cartoon-texture model based D-prGAMP (C-T D-prGAMP) algorithm. Then, based on experiments and analyses on the variations of the performance of D-PrGAMP algorithms with iterations, we proposed a 2-stage D-prGAMP algorithm, which makes tradeoffs between the C-T D-prGAMP algorithm and general D-prGAMP algorithms. Finally, facing the non-convergence issues of D-prGAMP, we incorporated adaptive damping to 2-stage D-prGAMP, and proposed the adaptively damped 2-stage D-prGAMP (2-stage ADD-prGAMP) algorithm. Simulation results show that, runtime of 2-stage D-prGAMP is relatively equivalent to that of BM3D-prGAMP, but 2-stage D-prGAMP can achieve higher image reconstruction quality than BM3D-prGAMP. 2-stage ADD-prGAMP spends more reconstruction time than 2-stage D-prGAMP and BM3D-prGAMP. But, 2-stage ADD-prGAMP can achieve PSNRs 0.2∼3dB higher than those of 2-stage D-prGAMP and 0.3∼3.1dB higher than those of BM3D-prGAMP.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E101.A.1608/_p

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@ARTICLE{e101-a_9_1608,
author={Jingjing SI, Jing XIANG, Yinbo CHENG, Kai LIU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Compressive Phase Retrieval Realized by Combining Generalized Approximate Message Passing with Cartoon-Texture Model},
year={2018},
volume={E101-A},
number={9},
pages={1608-1615},
abstract={Generalized approximate message passing (GAMP) can be applied to compressive phase retrieval (CPR) with excellent phase-transition behavior. In this paper, we introduced the cartoon-texture model into the denoising-based phase retrieval GAMP(D-prGAMP), and proposed a cartoon-texture model based D-prGAMP (C-T D-prGAMP) algorithm. Then, based on experiments and analyses on the variations of the performance of D-PrGAMP algorithms with iterations, we proposed a 2-stage D-prGAMP algorithm, which makes tradeoffs between the C-T D-prGAMP algorithm and general D-prGAMP algorithms. Finally, facing the non-convergence issues of D-prGAMP, we incorporated adaptive damping to 2-stage D-prGAMP, and proposed the adaptively damped 2-stage D-prGAMP (2-stage ADD-prGAMP) algorithm. Simulation results show that, runtime of 2-stage D-prGAMP is relatively equivalent to that of BM3D-prGAMP, but 2-stage D-prGAMP can achieve higher image reconstruction quality than BM3D-prGAMP. 2-stage ADD-prGAMP spends more reconstruction time than 2-stage D-prGAMP and BM3D-prGAMP. But, 2-stage ADD-prGAMP can achieve PSNRs 0.2∼3dB higher than those of 2-stage D-prGAMP and 0.3∼3.1dB higher than those of BM3D-prGAMP.},
keywords={},
doi={10.1587/transfun.E101.A.1608},
ISSN={1745-1337},
month={September},}

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TY - JOUR
TI - Compressive Phase Retrieval Realized by Combining Generalized Approximate Message Passing with Cartoon-Texture Model
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1608
EP - 1615
AU - Jingjing SI
AU - Jing XIANG
AU - Yinbo CHENG
AU - Kai LIU
PY - 2018
DO - 10.1587/transfun.E101.A.1608
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E101-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2018
AB - Generalized approximate message passing (GAMP) can be applied to compressive phase retrieval (CPR) with excellent phase-transition behavior. In this paper, we introduced the cartoon-texture model into the denoising-based phase retrieval GAMP(D-prGAMP), and proposed a cartoon-texture model based D-prGAMP (C-T D-prGAMP) algorithm. Then, based on experiments and analyses on the variations of the performance of D-PrGAMP algorithms with iterations, we proposed a 2-stage D-prGAMP algorithm, which makes tradeoffs between the C-T D-prGAMP algorithm and general D-prGAMP algorithms. Finally, facing the non-convergence issues of D-prGAMP, we incorporated adaptive damping to 2-stage D-prGAMP, and proposed the adaptively damped 2-stage D-prGAMP (2-stage ADD-prGAMP) algorithm. Simulation results show that, runtime of 2-stage D-prGAMP is relatively equivalent to that of BM3D-prGAMP, but 2-stage D-prGAMP can achieve higher image reconstruction quality than BM3D-prGAMP. 2-stage ADD-prGAMP spends more reconstruction time than 2-stage D-prGAMP and BM3D-prGAMP. But, 2-stage ADD-prGAMP can achieve PSNRs 0.2∼3dB higher than those of 2-stage D-prGAMP and 0.3∼3.1dB higher than those of BM3D-prGAMP.
ER -