Deconvolution of several versions of a scene perturbed by different defocus blurs: influence of kernel diameters on restoration quality and on robustness to kernel estimation

Goudail, François; Ruch, Olivier; Réfrégier, Philippe

doi:10.1364/ao.39.006602

Cited by 6 publications

(8 citation statements)

References 10 publications

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“…A gain in resolution in 2-D can however readily be obtained by acquiring two or more successive images with improved resolution along several directions, which are simply recombined, as already done in 3-D for the Multiple Imaging Axis Microscope [33]. Similarly, one can also take benefit of the several 2-D images, which are different versions of the same sample, perturbed by different blurs to improve the kernel estimation and the deconvolution process [34].…”

Section: Discussionmentioning

confidence: 99%

Improving the lateral resolution in confocal fluorescence microscopy using laterally interfering excitation beams

Haeberlé

Simon

2006

Optics Communications

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International audienceThe confocal fluorescence microscope is the instrument of choice for biologists. However, compared to other instruments, its resolution is still limited. We propose a simple technique, based on laterally interfering beams, to improve the resolution. One technique consists in using a halve phase plate to modify the illumination, combined with a laterally offset detection. A 90 nm lateral resolution is obtained for properly prepared specimens using readily available dyes. Another approach is to use several excitation beams, slightly shifted and properly dephased, to decrease the lateral extension of the PSF. With this approach, a lateral resolution of 75 nm is predicted with the advantage of a regular confocal detection. Finally, we show how using these techniques in combination with a two-color twophoton excitation could permit to further improve the resolution to 60 nm

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Section: Discussionmentioning

confidence: 99%

Improving the lateral resolution in confocal fluorescence microscopy using laterally interfering excitation beams

Haeberlé

Simon

2006

Optics Communications

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“…Goudail et al [24] studied multikernel deconvolution with the aim of quantifying the efficiency and the robustness of such a technique. They adapted a Thikonov regularized deconvolution filter to the multikernel deconvolution problem.…”

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%

“…Indeed, it can be considered that each image of the series is perturbed by an independent noise realization. Goudail et al [24] studied the advantage of the multikernel approach with respect to the robustness to noise in the case of two-kernel deconvolution. Their conclusions highlight the positive effect of noise averaging permitted by this approach: because the algorithm is based on the addition of several processed images (see Eq.…”

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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“…, N) in the first range cell with m = 1. By using the estimationsθ n , we will construct the image by formulas (17) and (22) (in the whole frame) and calculate the functional (7)…”

Section: Evaluation Of Phase Distortionsmentioning

confidence: 99%

“…These spectrum data include some amplitude and (or) phase distortions of various types very often. The problem of compensating these distortions with the aim of achieving high quality of image restoration is actual, and different techniques were suggested to solve this problem both in radar science [1,2,3,4,5,6,7,8,9,10,11] and in optics [12,13,14,15,16,17,18,19,20,21,22]. It is important to notice that in the Fourier optics, one of the most topical tasks is the problem of simultaneous restoration of the optical response function and of the object image in the presence of some phase distortions related to atmospheric turbulences.…”

Section: Introductionmentioning

confidence: 99%

Algorithm of the Radar Imaging by Using the Wideband Signals with the Distorted Signal Phases

Zhulina¹

2003

EURASIP J. Adv. Signal Process.

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The problem of restoring an image by its Fourier transform is considered when the Fourier transform contains phase distortions. The nature of these distortions and their values are arbitrary. The criterion for the quality of the phase distortion estimates is suggested. It can be used to select the image which is mostly like the true one. The nature of the true image is also arbitrary. The only condition for the true image is that it is real and positive for all the points of the restored area. The other condition for the task is that the recovered image is calculated as the absolute value of the inverse Fourier transform. The algorithm for the search of the compensating phases satisfying the criterion is not considered for the general case; however, the task of the radar imaging based on the wideband signal and the time synthesis of the aperture is treated in detail. The physical basis for the task is a wideband pulse radar signal reflected by a moving object. As a result, a two-dimensional aperture is synthesized along the range, due to the super resolution, and along the velocity, according to the motion of the object. The radar signals are received by a single receiver. The image is reconstructed on the basis of these signals by using the maximum likelihood technique. The method uses the coherent processing of the signals. In practice, the coherence can be destroyed (due to some atmospheric turbulence or equipment instability, due to some inaccuracy in defining the motion). We assume that the objects to be observed are located at the far zone. For this task and on the basis of the suggested criterion, we develop an approximate algorithm for searching the best compensating phases in the radar signal. The quality of the images is tested with the help of simulation

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Deconvolution of several versions of a scene perturbed by different defocus blurs: influence of kernel diameters on restoration quality and on robustness to kernel estimation

Cited by 6 publications

References 10 publications

Improving the lateral resolution in confocal fluorescence microscopy using laterally interfering excitation beams

Improving the lateral resolution in confocal fluorescence microscopy using laterally interfering excitation beams

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

Algorithm of the Radar Imaging by Using the Wideband Signals with the Distorted Signal Phases

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