"Lazy" Wavelets of Hermite Quintic Splines and a Splitting Algorithm

Hermite B-Splines: n-Refinability and Mask Factorization

“…with v j as in (6). Here, r denotes the size of the operator and p denotes the maximal degree of polynomials being annihilated.…”

“…, φ r;r−1 ) T . The refinement property (2) makes Hermite B-splines particularly interesting in the context of vector multi-resolution analysis, multi-wavelets, and Hermite subdivision schemes [3][4][5][6][7][8][9][10][11][12].…”

A note on Hermite multiwavelets with polynomial and exponential vanishing moments

“…Their symbols admits the factorizations ( 16) and ( 22), respectively, with respect to the cancellation operator (19).…”

“…The limit functions of the given example (p = 0, r = 1) result in the Hermite quintic B-splines, whose connection with multiwavelets has already been widely studied for example in [19,20].…”

“…The symbol of the corresponding high-pass filter of the decomposition, as constructed in Section 4, is given by We remark that such filters have been obtained with a completely different approach than others in literature [19,20]. Furthermore, the related factorization issues have never been studied before.…”