Journal ArticleDOI
Inverse-problem approach for particle digital holography: accurate location based on local optimization.
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TLDR
In this article, the authors proposed a microparticle localization scheme in digital holography based on the inverse-problems approach, which yields the optimal particle set that best models the observed hologram image and resolves this global optimization problem by conventional particle detection followed by a local refinement for each particle.Abstract:
We propose a microparticle localization scheme in digital holography Most conventional digital holography methods are based on Fresnel transform and present several problems such as twin-image noise, border effects, and other effects To avoid these difficulties, we propose an inverse-problem approach, which yields the optimal particle set that best models the observed hologram image We resolve this global optimization problem by conventional particle detection followed by a local refinement for each particle Results for both simulated and real digital holograms show strong improvement in the localization of the particles, particularly along the depth dimension In our simulations, the position precision is > or =1 microm rms Our results also show that the localization precision does not deteriorate for particles near the edge of the field of viewread more
Citations
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PatentDOI
Holographic microscopy of holographically trapped three-dimensional structures
Sang-Hyuk Lee,David G. Grier +1 more
TL;DR: In this article, a method and system for performing three-dimensional holographic microscopy of an optically trapped structure is presented, which uses an inverted optical microscope, a laser source which generates a trapping laser beam wherein the laser beam is focused by an objective lens into a plurality of optical traps.
Journal ArticleDOI
Inline hologram reconstruction with sparsity constraints.
TL;DR: This Letter suggests the use of a sparsity-promoting prior, verified in many inline holography applications, and presents a simple iterative algorithm for 3D object reconstruction under sparsity and positivity constraints.
Journal ArticleDOI
Off-axis digital hologram reconstruction: some practical considerations
Nicolas Verrier,Michael Atlan +1 more
TL;DR: The influence of experimental parameters on the classical hologram reconstruction methods is assessed, offering guidelines for optimal image rendering regarding the hologram recording conditions.
Journal ArticleDOI
Greedy Solution of Ill-Posed Problems: Error Bounds and Exact Inversion
TL;DR: The orthogonal matching pursuit (OMP) algorithm as discussed by the authors is an algorithm to solve sparse approximation problems and it has been applied to solve ill-posed inverse problems in general and in particular for two deconvolution examples from mass spectrometry and digital holography.
Journal ArticleDOI
Inverse problem approach in particle digital holography: out-of-field particle detection made possible
TL;DR: This work proposes a microparticle detection scheme in digital holography by considering the camera as a truncated version of a wider sensor, and estimates the optimal particles set that best models the observed hologram image.
References
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Journal ArticleDOI
Introduction to Fourier Optics
Joseph W. Goodman,Mary E. Cox +1 more
TL;DR: The second edition of this respected text considerably expands the original and reflects the tremendous advances made in the discipline since 1968 as discussed by the authors, with a special emphasis on applications to diffraction, imaging, optical data processing, and holography.
Book
Introduction to Fourier optics
TL;DR: The second edition of this respected text considerably expands the original and reflects the tremendous advances made in the discipline since 1968 as discussed by the authors, with a special emphasis on applications to diffraction, imaging, optical data processing, and holography.
Journal ArticleDOI
Computing a Trust Region Step
Jorge J. Moré,Danny C. Sorensen +1 more
TL;DR: An algorithm for the problem of minimizing a quadratic function subject to an ellipsoidal constraint is proposed and it is shown that this algorithm is guaranteed to produce a nearly optimal solution in a finite number of iterations.
Journal ArticleDOI
REVIEW ARTICLE: Holographic particle image velocimetry
TL;DR: In this paper, the state-of-the-art of digital particle holography is reviewed to allow estimates of its future in experimental flow analysis, and the practical advantage of video and digital techniques over photographic recording is obvious.
Proceedings ArticleDOI
Methods of digital holography: a comparison
TL;DR: In this paper, the authors used the Fourier transform to calculate the impulse response of free space propagation, which is then Fourier transformed or the free space transfer function is defined immediately.