Image restoration in 3-D microscopy with limited data

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Abstract
We present an image restoration method that is suitable for images with missing or truncated data. This method, L2 regularization with a non-negativity constraint, is applied to image restoration of 3D optically sectioned microscope images of fluorescently labelled cells. Its ability to use axially truncated data is useful when applying it to 3D images from a conventional wide field microscope and to operate effectively on a small number of optical sections. Its ability to correctly place light originating from outside the field of view by making use of the out of focus information allows us to subdivide a large image into smaller pieces without a substantial edge effect. Large 3D data sets can be restored on a modestly priced computer workstation.

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