In applied mathematics, the transfer matrix is a formulation in terms of a block-Toeplitz matrix of the two-scale equation, which characterizes refinable functions. Refinable functions play an important role in wavelet theory and finite element theory.
For the mask, which is a vector with component indexes from to, the transfer matrix of, we call it here, is defined as
More verbosely
The effect of can be expressed in terms of the downsampling operator "":
Read more about Transfer Matrix: Properties, See Also
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