In most cases, the inter-block correlations will lie between Examples 1 and 2. Figure 9 Multi-patch autocorrelation matrix (tilde {mathbf {R}}_{i}).
The proposed approach retains the high level of accuracy of single patch solutions and reveals its potential for authentic multi-patch NURBS modeling.
For such problems, the multi-patch techniques, such as the tearing and interconnecting approach of Kleiss et al. [29] or BDDC approach of Beirao et al. [13], are more suitable where the multigrid solver can be used within each sub-patch.
In our new correlation model, the multi-patch statistics will be expressed in terms of statistics for a single patch and a distance matrix for all of the similar patches.
To the best of our knowledge, this is the first multi-patch algorithm to use a single-pass weighted sum of all pixels within multiple similar patches to jointly address blur and noise.
The correlation models in Equations 11 and 12 capture the spatial correlations among pixels within each patch using R and p. The patch similarities, captured in the distance matrix, are used to 'modulate' these correlations with the Kronecker product to provide the full multi-patch correlation model.
To the best of our knowledge, this is the first multi-patch algorithm to use a single spatial-domain weighted sum of all pixels within multiple similar patches to form its estimate and the first to use a spatial-domain multi-patch correlation model to determine the weights.
In this paper, we propose a novel multi-patch AWF algorithm for image restoration.
We present a new patch-based image restoration algorithm using an adaptive Wiener filter (AWF) with a novel spatial-domain multi-patch correlation model.
This exposition invites a great deal of further work, including development of the multi-patch (meta-population) ODEs with flight, full sensitivity analysis of the agent-based model, further "dialogue" between the two approaches, and calibration to historical cases.
