2015
DOI: 10.5666/kmj.2015.55.4.1053
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Abstract: Abstract. A two-direction multiscaling function φ satisfies a recursion relation that uses scaled and translated versions of both itself and its reverse. This offers a more general and flexible setting than standard one-direction wavelet theory. In this paper, we investigate how to find and normalize point values and derivative values of two-direction multiscaling and multiwavelet functions. Determination of point values is based on the eigenvalue approach. Normalization is based on normalizing conditions for … Show more

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Cited by 3 publications
(2 citation statements)
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“…which is a correct normalization for the two-direction scaling functions (For normalizing condition for ϕ, see [2]). Hence, our construction of ϕ is correctly normalized.…”
Section: Main Theoremmentioning
confidence: 99%
See 1 more Smart Citation
“…which is a correct normalization for the two-direction scaling functions (For normalizing condition for ϕ, see [2]). Hence, our construction of ϕ is correctly normalized.…”
Section: Main Theoremmentioning
confidence: 99%
“…The recursion coefficients p k are scalars. Two-direction scaling function ϕ and wavelet function ψ, which are a more general setting than the one-direction scaling function and wavelet, are investigated in [2,3,4,5,6,7].…”
Section: Introductionmentioning
confidence: 99%