Scaled Heavy-Ball Acceleration of the Richardson-Lucy Algorithm for 3D Microscopy Image Restoration

The Richardson–Lucy algorithm is one of the most important in image deconvolution. However, a drawback is its slow convergence. A significant acceleration was obtained using the technique proposed by Biggs and Andrews (BA), which is implemented in the deconvlucy function of the image processing MATLAB toolbox. The BA method was developed heuristically with no proof of convergence. In this paper, we introduce the heavy-ball (H-B) method for Poisson data optimization and extend it to a scaled H-B method, which includes the BA method as a special case. The method has a proof of the convergence rateof O(K^2), where k is the number of iterations. We demonstrate the superior convergence performance, by a speedup factor off ive, of the scaled H-B method on both synthetic and real 3D images.

Les moeurs du jour, ou Histoire de Sir William Harrington. Partie 2 / , écrite du vivant de M. Richardson,... revue et retouchée par lui sur le manuscrit de l'auteur

Titre original : The history of sir William Harrington

Les moeurs du jour, ou Histoire de Sir William Harrington. Partie 4 / , écrite du vivant de M. Richardson,... revue et retouchée par lui sur le manuscrit de l'auteur

Titre original : The history of sir William Harrington

Les moeurs du jour, ou Histoire de Sir William Harrington. Partie 3 / , écrite du vivant de M. Richardson,... revue et retouchée par lui sur le manuscrit de l'auteur

Titre original : The history of sir William Harrington

Les moeurs du jour, ou Histoire de Sir William Harrington. Partie 1 / , écrite du vivant de M. Richardson,... revue et retouchée par lui sur le manuscrit de l'auteur

Titre original : The history of sir William Harrington

Photograph - J. Diefenbaker, Keith Marten, Sean O'Sullivan, Lee Richardson

A photograph of J. Diefenbaker, Keith Marten, Sean O'Sullivan and Lee Richardson. The photograph is undated. It is included in a photo book in honour of John G. Diefenbaker's 80th birthday.