Total Variation Based Image Restoration of Three Dimensional Microscopic Objects

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چکیده

The inverse problem involving the determination of a three-dimensional biological structure from images obtained by means of optical-sectioning microscopy is ill-posed. Regularization methods must often be used in order to obtain a reasonable solution. Recently, the Total Variation (TV) regularization, as proposed b y Rudin, Osher and Fatemi [ll], has become very popular for this purpose. A n iterative algorithm is used for minimizing a TV-penalized least squares problems. W e also employ transform based methods for solving large linear subproblems arising from TV-penalized least problems. Preliminary numerical results show that the method performs quite well.

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