Abstract
We analyze the properties of orthogonality, short support, polynomial approximation order and balancing in the context of nonseparable bidimensional multi wavelets with quincunx decimation, and obtain conditions on the filter coefficients of the multi scaling function. These conditions are exploited to find examples of multi wavelets. The definition of balanced multi wavelets is extended to the bidimensional case for any dilation matrix. Relations between balancing and polynomial approximation order are investigated, and new are given. We find that for the dilation matrices chosen there can be no order are investigated, and new results are given. We find that for the dilation matrices chosen there can be no order 2 balanced multi wavelets of accuracy 2. The procedure for calculating the multi wavelet transform is outlined, and we given results of applying some of the wavelet found for image compression.
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