Improvement of the LLS and MAP deconvolution algorithms by automatic determination of optimal regularization parameters and pre-filtering of original data

Colicchio, Bruno; Haeberlé, Olivier; Xu, Chuan; Dieterlen, Alain; Jung, Georges

doi:10.1016/j.optcom.2004.08.039

Cited by 12 publications

(9 citation statements)

References 33 publications

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“…Note however that in tomography with specimen rotation, this axis of lower image quality corresponds to the physical rotation axis of the specimen, while in conventional microscopy, the optical axis is the direction of worst imaging conditions. Note also that the observed elongation along the rotation axis in diffractive tomography with sample rotation is less pronounced than that observed in standard transmission microscopy or in fluorescence microscopy along the optical axis [13,14]. This can be easily understood if one considers the so-called missing-cone in transmission or fluorescence microscopy [15]: while high frequencies are captured along lateral axes, no frequencies are measured along the optical axis, and even the maximum thickness of the captured frequency support along this direction is several times smaller than its lateral extension.…”

Section: Simulationsmentioning

confidence: 84%

Diffraction microtomography with sample rotation: primary result on the influence of a missing apple core in the recorded frequency space

Vertu

Yamada

Delaunay

et al. 2009

Modeling Aspects in Optical Metrology II

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Diffraction microtomography in coherent light is foreseen as a promising technique to image transparent living samples in three dimensions without staining. Contrary to conventional microscopy with incoherent light, which gives morphological information only, diffraction microtomography makes it possible to obtain the complex optical refractive index of the observed sample by mapping a three-dimensional support in the spatial frequency domain. The technique can be implemented in two configurations, namely, by varying the sample illumination with a fixed sample or by rotating the sample using a fixed illumination. In the literature, only the former method was described in detail. In this report, we derive the three-dimensional frequency support that can be mapped by the sample rotation configuration. We found that, within the first-order Born approximation, the volume of the frequency domain that can be mapped exhibits a missing part, the shape of which resembles that of an apple core. A brightfield transmission microscope was modified to form a Mach-Zehnder interferometer that was used to generate phase-shifted holograms recorded in image plane. We report preliminary experimental results.

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Section: Simulationsmentioning

confidence: 84%

Diffraction microtomography with sample rotation: primary result on the influence of a missing apple core in the recorded frequency space

Vertu

Yamada

Delaunay

et al. 2009

Modeling Aspects in Optical Metrology II

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“…(8). Often, additional assumptions (noise's origin or amplitude) [2,3,7] or iterative methods serve to improve intensity based deconvolution [5,6]. The presented complex deconvolution foregoes any assumptions since it is simply based on inverting image formation from Eq.…”

Section: Inverse Filter Deconvolution Of Complex Fieldsmentioning

confidence: 99%

“…Many 2D deconvolution methods, like deblurring, can be applied to improve image quality of incoherent imaging systems [4] and 3D deconvolution techniques give rise to enhanced optical sectioning capability [2]. Based on iterative expectation-maximization algorithms for maximum-likelihood deconvo-lution of incoherent images, even enhanced resolution has been demonstrated [5,6] at the cost of computational power. All such efforts make deconvolution a common post-processing method for biological applications such as deconvolution of fluorescence microscopy images [7].…”

Section: Introductionmentioning

confidence: 99%

Microscopy image resolution improvement by deconvolution of complex fields

Cotte¹,

Toy²,

Pavillon³

et al. 2010

Opt. Express

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Based on truncated inverse filtering, a theory for deconvolution of complex fields is studied. The validity of the theory is verified by comparing with experimental data from digital holographic microscopy (DHM) using a high-NA system (NA=0.95). Comparison with standard intensity deconvolution reveals that only complex deconvolution deals correctly with coherent cross-talk. With improved image resolution, complex deconvolution is demonstrated to exceed the Rayleigh limit. Gain in resolution arises by accessing the objects complex field - containing the information encoded in the phase - and deconvolving it with the reconstructed complex transfer function (CTF). Synthetic (based on Debye theory modeled with experimental parameters of MO) and experimental amplitude point spread functions (APSF) are used for the CTF reconstruction and compared. Thus, the optical system used for microscopy is characterized quantitatively by its APSF. The role of noise is discussed in the context of complex field deconvolution. As further results, we demonstrate that complex deconvolution does not require any additional optics in the DHM setup while extending the limit of resolution with coherent illumination by a factor of at least 1.64.

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“…Indeed, catastrophic amplification of noise may occur, which may render the deconvolution result useless. An important point in order to get optimal results is to determine the optimal level of regularization of the deconvolution process with respect to the noise present in the image [26].…”

Section: M a G E P R O C E S S I N G : M U L T I -K E R N E L D E Cmentioning

confidence: 99%

Multi-kernel deconvolution applied to confocal fluorescence microscopy with engineered point spread function

Simon¹,

Haeberlé²

2006

J. Eur. Opt. Soc.-Rapid Publ.

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International audienceFluorescence microscopy is a powerful technique in biology, because of the immense variety of markers now available. Compared to other methods, its resolution is however limited. In wide-field microscopy, the technique of structured illumination permits to improve the lateral resolution by a factor of two, even surpassing confocal microscopy, which permits a theoretical gain of about 40%. We propose an alternate technique, combining laterally interfering focused beams, which should permit the same gain of resolution in a confocal microscope. Furthermore, this technique, combined with multiple acquisition and multikernel deconvolution, permits a better object reconstruction than classical monokernel deconvolution using a regular excitation point spread function

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Improvement of the LLS and MAP deconvolution algorithms by automatic determination of optimal regularization parameters and pre-filtering of original data

Cited by 12 publications

References 33 publications

Diffraction microtomography with sample rotation: primary result on the influence of a missing apple core in the recorded frequency space

Diffraction microtomography with sample rotation: primary result on the influence of a missing apple core in the recorded frequency space

Microscopy image resolution improvement by deconvolution of complex fields

Multi-kernel deconvolution applied to confocal fluorescence microscopy with engineered point spread function

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