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.

The Northern Ireland Assembly Election 2011

Following the first full term of regional government in the province since 1972, the Northern Ireland Assembly election held on 5 May 2011 saw the continuation of several trends. Foremost, the Democratic Unionist Party and Sinn Féin bolstered further their positions as leaders of their respective communities, with the Social Democratic and Labour Party and Ulster Unionist Party losing yet more ground. Building on their decision to enter power-sharing government together in 2007, the two largest parties framed themselves as the progressive choice for voters. As this was the first Assembly election since St Andrews (2006), much of the campaign dialogue centred on the prospect of a Sinn Féin First Minister, a concern highlighted by both unionist parties. The campaign also focused on ‘normal’ socio-economic political issues and possible institutional reform. The absence of inter-party conflict led to the campaign being perceived as the most mundane in living memory, with fears of a record low turnout realised.