Abstract:

With introducing of Hermite interpolating condition and aiming at  the dilation factor d>2, we presented a new generalized Hermite interpolating scaling function vector, and investigated their interpolation property and described several properties of the generalized Hermite interpolating scaling function vector in terms of its mask. Moreover, the construction algorithms of the compactly supported wavelet were derived.

Key words: generalized scaling function vector, Hermite interpolating property, mask