In this context, redundant dictionary means that the dictionary is overcomplete and contains much more than the minimum required basis functions, that is, a collection of nonorthogonal basis functions, that is, much larger than the minimum required basis functions to span the given signal space.
Compared with the conventional orthogonal transform representation, this most parsimonious representation of a signal over a redundant collection of generated basis offers efficient capability of signal modeling.
In this method, gallery images are first partitioned into sub-regions excluding obstructed parts to generate a collection of initial basis vectors.
The proposed network comes with a collection of radial basis functions, which are structurally as well as parametrically optimized with the aid of information granulation and genetic algorithm.
The collection of the basis is called a 'dictionary', and the joint matrix of weights is called an 'activity': x l = ∑ j = 1 J a j h j, l = A h l (1).
Our model defines each primitive as a cross-section, an infinitesimally thin area, whose structure is defined by a vector of parameters that consist of a collection of PaLS basis functions defined by their center locations, weighting factors and axis length, or dilation.
In the black township of Alexandra, where there was no sewage, residents had to leave their shit outside their doors every night for collection (the basis of a protest poem by Wally Serote – "What's in This Black 'shit'shit
