Recently I have been learning about the light field microscope, in this system when I reconstruct the object we use 3D deconvolution method and I do not know the function of PSF in the 3D deconvolution algorithm method
Methods based on a small number of differently focused views no longer work. Instead, one must treat each view as a projection through the object. If the aperture is a pinhole, values of the object function (either its linear attenuation or emission) are integrated along rays passing through the pinhole. If the pinhole is replaced with an ideal lens, then integrals along rays are replaced with integrals over double cones centered at points in the object that are in focus.This double cone is the point-spread-function (PSF) of the lens, and it represents blurring due to defocus. If one includes the effects of diffraction, this PSF becomes hourglass shaped, having a finite waist at the plane of focus. Moving the lens along its optical axis, we form a sequence of images focused at different depths, i.e. a focal stack. This process is a convolution of the object by the PSF to form a 3D image.
Reconstruction by 3D deconvolution attempts to reassign that portion of the light recorded in each pixel that is due to blurring back to the voxels from which they came, i.e. it tries to estimate the object given the 3D image and PSF. Although the blurring convolution can be expressed as a matrix multiplication and directly inverted , the matrix is usually too ill-conditioned for this method to succeed. Instead, iterative algorithms are employed. To ensure convergence to a meaningful result. PSF simply enhance the image specially in 3D deconvolution.
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I'm assuming that when you say light field microscopy you are referring to wide-field and not confocal. There's an excellent introductory paper from Jason Swedlow called "A Workingperson’s Guide to Deconvolution in Light Microscopy" BioTechniques 31:1076-1097 (November 2001). It does a good job of explaining how deconvolution and the PSF are related in wide-field light microscopy.
thank you very much , i have't understood the psf in a light field microscope very well and maybe the light field i said has some diffrence with the one you said ,do you have an microlens array in the microscope