Phase and amplitude imaging from noisy images by Kalman filtering

被引:49
作者
Waller, Laura [1 ]
Tsang, Mankei [1 ]
Ponda, Sameera [2 ]
Yang, Se Young [3 ]
Barbastathis, George [3 ,4 ]
机构
[1] MIT, Dept Elect Engn & Comp Sci, Cambridge, MA 02139 USA
[2] MIT, Dept Aeronaut & Astronaut, Cambridge, MA 02139 USA
[3] MIT, Dept Mech Engn, Cambridge, MA 02139 USA
[4] Singapore MIT Alliance Res & Technol Ctr, Singapore 117543, Singapore
来源
OPTICS EXPRESS | 2011年 / 19卷 / 03期
基金
美国国家科学基金会;
关键词
RETRIEVAL ALGORITHMS; INTENSITY APPROACH; GERCHBERG-SAXTON; RECONSTRUCTION; DIVERSITY; TRANSPORT; MICROSCOPY; FOURIER; CONTRAST; MODULUS;
D O I
10.1364/OE.19.002805
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We propose and demonstrate a computational method for complex-field imaging from many noisy intensity images with varying defocus, using an extended complex Kalman filter. The technique offers dynamic smoothing of noisy measurements and is recursive rather than iterative, so is suitable for adaptive measurements. The Kalman filter provides near-optimal results in very low-light situations and may be adapted to propagation through turbulent, scattering, or nonlinear media. (C) 2011 Optical Society of America
引用
收藏
页码:2805 / 2815
页数:11
相关论文
共 52 条
[1]   Phase retrieval from series of images obtained by defocus variation [J].
Allen, LJ ;
Oxley, MP .
OPTICS COMMUNICATIONS, 2001, 199 (1-4) :65-75
[2]   Phase retrieval from images in the presence of first-order vortices [J].
Allen, LJ ;
Faulkner, HML ;
Nugent, KA ;
Oxley, MP ;
Paganin, D .
PHYSICAL REVIEW E, 2001, 63 (03) :376021-376024
[3]  
[Anonymous], 2012, Optimal Estimation of Dynamic Systems
[4]   ELIMINATION OF THE UNWANTED IMAGE IN DIFFRACTION MICROSCOPY [J].
BRAGG, WL ;
ROGERS, GL .
NATURE, 1951, 167 (4240) :190-191
[5]   Generalized phase diversity for wave-front sensing [J].
Campbell, HI ;
Zhang, SJ ;
Greenaway, AH ;
Restaino, S .
OPTICS LETTERS, 2004, 29 (23) :2707-2709
[6]   Diversity selection for phase-diverse phase retrieval [J].
Dean, BH ;
Bowers, CW .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2003, 20 (08) :1490-1504
[7]   UNIQUENESS QUESTION IN PROBLEM OF PHASE RETRIEVAL FROM INTENSITY MEASUREMENTS [J].
DEVANEY, AJ ;
CHIDLAW, R .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1978, 68 (10) :1352-1354
[8]  
Dominguez-Caballero J., 2009, OSA DH 3D IMAGING
[9]   RECONSTRUCTION OF AN OBJECT FROM MODULUS OF ITS FOURIER-TRANSFORM [J].
FIENUP, JR .
OPTICS LETTERS, 1978, 3 (01) :27-29
[10]   PHASE RETRIEVAL ALGORITHMS - A COMPARISON [J].
FIENUP, JR .
APPLIED OPTICS, 1982, 21 (15) :2758-2769