Evaluation of finite difference and FFT-based solutions of the transport of intensity equation

被引：9

作者：

Zhang, Hongbo ^{[1
]}

Zhou, Wen-Jing ^{[2
]}

Liu, Ying ^{[3
]}

Leber, Donald ^{[1
]}

Banerjee, Partha ^{[4
,5
]}

Basunia, Mahmudunnabi ^{[5
]}

Poon, Ting-Chung ^{[1
]}

机构：

[1] Virginia Tech, Bradley Dept Elect & Comp Engn, Blacksburg, VA 24061 USA

[2] Shanghai Univ, Dept Precis Mech Engn, Shanghai 200072, Peoples R China

[3] Virginia Tech, Dept Mech Engn, Blacksburg, VA 24061 USA

[4] Univ Dayton, Dept Electroopt & Photon, Dayton, OH 45469 USA

[5] Univ Dayton, Dept Elect & Comp Engn, Dayton, OH 45469 USA

来源：

APPLIED OPTICS | 2018年 / 57卷 / 01期

基金：

中国国家自然科学基金;

关键词：

PHASE RETRIEVAL; TRANSFORM; ALGORITHMS; IMAGES;

D O I：

10.1364/AO.57.00A222

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A finite difference method is proposed for solving the transport of intensity equation. Simulation results show that although slower than fast Fourier transform (FFT)-based methods, finite difference methods are able to reconstruct the phase with better accuracy due to relaxed assumptions for solving the transport of intensity equation relative to FFT methods. Finite difference methods are also more flexible than FFT methods in dealing with different boundary conditions. (C) 2017 Optical Society of America

引用

页码：A222 / A228

页数：7

共 50 条

[21] Elimination of ringing artifacts by finite-element projection in FFT-based homogenization
Leute, Richard J.
Ladecký, Martin
Falsafi, Ali
Jödicke, Indre
Pultarová, Ivana
Zeman, Jan
Junge, Till
Pastewka, Lars
Journal of Computational Physics, 2022, 453
[22] A consistent discretization via the finite radon transform for FFT-based computational micromechanics
Jabs, Lukas
Schneider, Matti
COMPUTATIONAL MECHANICS, 2024, : 1451 - 1470
[23] FINITE-DIFFERENCE SOLUTIONS OF THE INFILTRATION EQUATION
KUNZE, RJ
NIELSEN, DR
SOIL SCIENCE, 1982, 134 (02) : 81 - 88
[24] FFT-based high order central difference schemes for three-dimensional Poisson's equation with various types ofboundary conditions
Feng, Hongsong
Zhao, Shan
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 410
[25] FFT-based Computation of the Bioheat Transfer Equation for the HCC Ultrasound Surgery Therapy Modeling
Dillenseger, Jean-Louis
Esneault, Simon
Garnier, Carole
2008 30th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, Vols 1-8, 2008, : 2538 - 2541
[26] Finite length equalization for FFT-based multicarrier systems - An error-whitening viewpoint
Webster, M
Roberts, R
THIRTY-FIRST ASILOMAR CONFERENCE ON SIGNALS, SYSTEMS & COMPUTERS, VOLS 1 AND 2, 1998, : 555 - 559
[27] Evaluation of an FFT-based Processor for Doppler-frequency Ambiguous Radar.
Cristofalo, Egidio
Galati, Gaspare
Note, recensioni, notizie, 1979, 28 (3-4): : 351 - 385
[28] Grey finite difference models for solute transport equation
1600, Research India Publications (08):
[29] Evaluation of Spectral Estimation Parameters for Direct Sampling FFT-Based Measuring Receivers
Garcia-Bermudez, Marc
Sole-Lloveras, Jordi
Hudlicka, Martin
Azpurua, Marco A.
IEEE OPEN JOURNAL OF SIGNAL PROCESSING, 2024, 5 : 588 - 598
[30] Simulating thermohydrodynamics by finite difference solutions of the Boltzmann equation
Surmas, R.
Ortiz, C. E. Pico
Philippi, P. C.
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2009, 171 : 81 - 90

← 1 2 3 4 5 →