Optical wavefront reconstruction: Theory and numerical methods

SIAM Review

Volumn 44, Issue 2, 2002, Pages 169-224

  Luke, D Russell ^a   Burke, James V ^a   Lyon, Richard G ^a  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

Geometric optics; Least squares; Nonconvex programming; Phase retrieval

Indexed keywords

ABERRATIONS; ALGORITHMS; COMPUTER HARDWARE; COMPUTER SOFTWARE; DIFFRACTION; GEOMETRICAL OPTICS; LEAST SQUARES APPROXIMATIONS; NUMERICAL METHODS; SPACE TELESCOPES;

NEXT GENERATION SPACE TELESCOPE; OPTICAL WAVEFRONT RECONSTRUCTION; RAYLEIGH-SOMMERFELD DIFFRACTION THEORY;

IMAGE RECONSTRUCTION;

EID: 0036602309     PISSN: 00361445     EISSN: None     Source Type: Journal    
DOI: 10.1137/S003614450139075     Document Type: Article

References (133)

1. On the determination of the phase of a fourier integral
2. On the determination of the phase of a fourier integral
3. Imaging-phase radiography with neutrons
4. On the rate of convergence of the preconditioned conjugate gradient algorithm
5. Measurement of telescope aberrations through atmospheric turbulence by use of phase diversity
6. Algorithms for reconstruction of partially known, band-limited fourier-transform pairs from noisy data. II. The nonlinear problem of phase retrieval
7. Algorithms for reconstruction of partially known, band-limited fourier-transform pairs from noisy data
8. Artificial neural network for the determination of hubble space telescope aberration from stellar images
9. The composition of finitely many projections onto closed convex sets in Hilbert space is asymptotically regular
10. On the convergence of von Neumann's alternating projection algorithm for two sets
11. On projection algorithms for solving convex feasibility problems
12. The method of cyclic projections for closed convex sets in Hilbert space
13. A relative weighting method for estimating parameters and variances in multiple data sets
14. On the circle polynomials of Zernike and related orthogonal sets
15. Convergence of algorithms for phase retrieval from two intensity measurements
16. The method of successive projection for finding a common point of convex sets
17. On the ambiguity of the image reconstruction problem
18. Low-Dimensional quasi-newton updating strategies for large-scale unconstrained optimization
19. Hubble space telescope optics status
20. The imaging performance of the Hubble space telescope
21. Representations of quasi-Newton matrices and their use in limited memory methods
22. Phase diversity experimental results: Deconvolution of v scorpii
23. Wave-front phase estimation from fourier intensity measurements
24. Cyclic projection methods on a class of nonconvex sets
25. Optimization and nonsmooth analysis
26. Inconsistent signal feasibility problems: Least-squares solutions in a product space
27. The convex feasibility problem in image recovery
28. Hard-constrained inconsistent signal feasibility problems
29. Method of successive projections for finding a common point of sets in metric spaces
30. Phase retrieval and image reconstruction for astronomy
31. The phase retrieval problem of coherence theory as a stability problem
32. Phase reconstruction via nonlinear least squares
33. Numerical investigation of phase retrieval in a fractional Fourier transform
34. The problem of phase retrieval in light and electron microscopy of strong objects
35. Approximative compactness and Chenyshev sets
36. New iterative algorithm for the design of phase-only gratings
37. Reconstruction of an object from the modulus of its Fourier transform
38. Space object imaging through the turbulent atmosphere
39. Iterative method applied to image reconstruction and to computer-generated holograms
40. Phase retrieval algorithms: A comparison
41. Phase retrieval for Hubble space telescope using iterative propagation algorithms
42. Hubble space telescope characterized by using phase retrieval algorithms
43. Phase retrieval stagnation problems and solutions
44. Three-dimensional cryoelectron microscopy of ribosomes
45. A practical algorithm for the determination of phase from image and diffraction plane pictures
46. Phase retrieval from modulus data
47. Phase retrieval and diversity in adaptive optics
48. The method of projections for finding the common point of convex sets
49. Phase retrieval with the transport of intensity equation: II. Orthogonal series solution for nonuniform illumination
50. Phase retrieval with the transport of intensity equation: Matrix solution with the use of Zernike polynomials
51. The product of projection operators
52. Signal reconstruction from phase or magnitude
53. The problem of phase retrieval in light and electron microscopy of strong objects. II. On the uniqueness and stability of object reconstruction procedures using two defocused images
54. Approximate subdifferentials and applications: II
55. Approximate subdifferentials and applications: III
56. Role of support information and zero locations in phase retrieval by a quadratic approach
57. Temporal coherence of black body radiation
58. Phase diversity wave-front sensor for imaging systems
59. Phase retrieval analysis of pre and post-repair hubble space telescope images
60. Evaluation of least-squares phase-diversity technique for space telescope wave-front sensing
61. Reconstruction of complex signals from intensities of Fourier transform pairs
62. Image restoration by the method of generalized projections with application to restoration from magnitude
63. Wave-front sensing with time-of-flight phase diversity
64. Calibration of a deformable mirror and strehl ratio measurements by use of phase diversity
65. Fast algorithms for phase diversity and phase retrieval
66. Hubble Space Telescope faint object camera calculated point spread functions
67. Hubble Space Telescope phase retrieval: A parameter estimation
68. Zernike annular polynomials for imaging systems with annular pupils
69. NGST
70. Determination of the hubble space telescope effective conic-constant error from direct image measurements
71. Extending the methodology of x-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens
72. Phase retrieval in crystallography and optics
73. An examination of an iterative method for the solution of the phase problem in optics and electron optics I. Test calculations
74. Nonsmooth sequential analysis in Asplund spaces
75. Methods for reconstruction of 2-d sequences from Fourier transform magnitude
76. Multiresolution approach to image reconstruction with phase-diversity technique
77. The question of phase in image formation
78. Optimal conditioning of self-scaling variable metric algorithms
79. Joint estimation of object and aberrations by using phase diversity
80. Evaluation of phase-diversity techniques for solar-image restoration
81. Some computational problems arising in adaptive optics imaging systems
82. Iterative techniques for minimum phase signal reconstruction from phase or magnitude
83. Wavefront sensing and control for a next generation space telescope
84. Hybrid ray-trace and diffraction propagation code for analysis of optical systems
85. Combined approach to the hubble space telescope wave-front distortion analysis
86. Analyticity and phase retrieval
87. Object-independent fast phase-diversity
88. NASA's next generation space telescope visiting a time when galaxies were young
89. Numerical investigation of the uniqueness of phase retrieval
90. Matrix conditioning and nonlinear optimization
91. Image processing using projection methods
92. Closest point maps and their product, II
93. On the interference bands of approximately homogeneous light; in a letter to Prof. A. Michelson
94. Gram-Schmidt orthonormalization of Zernike polynomials for general aperture shapes
95. Holographic microscopy with a complicated reference
96. Reconstruction of an object from its noisy Fourier modulus: Ideal estimate of the object to be constructed and a method that attempts to find that object
97. Deterministic phase retrieval: A Green's function solution
98. The problem of phase retrieval in light and electron microscopy of strong objects. III. Developments of methods for numerical solution
99. The problem of phase retrieval in light and electron microscopy of strong objects. IV. Checking algorithms by means of simulated objects
100. Estimation of the adaptive optics long-exposure point-spread function using control-loop data
101. Approximative properties of sets in normed linear spaces
102. A limited memory BFGS method for an inverse problem in atmospheric imaging
103. Fast algorithms for phase diversity-based blind deconvolution
104. On rings of operators, reduction theory
105. The question of phase retrieval in optics
106. Is a complete determination of the energy spectrum of light possible from measurements of degree of coherence?
107. Phase retrieval using two intensity measurements in the complex plane
108. Gerchberg-Saxton and Yang-Gu algorithms for phase retrieval in a nonunitary transform system: A comparison
109. Mathematical theory of image restoration by the method of convex projections
110. Extensions of a result on the synthesis of signals in the presence of inconsistent constraints
111. Image restoration by the method of convex projections: Part I - Theory
112. Projections on convex sets in Hilbert space and spectral theory
113. Beugungstheorie des schneidenverfahrens und seiner verbesserten form, der phasenkontrastmethode