Orthogonality Criteria for Multi-scaling Functions
نویسندگان
چکیده
منابع مشابه
Scaling for orthogonality
In updating algorthms where orthogonal transformations are accumulated , it is important to preserve the orthogonality of the product in the presence of rounding error. Moonen, Van Dooren, and Vandewalle have pointed out that simply normalizing the columns of the product tends to preserve orthogonality | though not, as DeGroat points out, to working precision. In this note we give an analysis o...
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A refinable function φ(x) : Rn → R or, more generally, a refinable function vector 8(x) = [φ1(x), . . . , φr (x)]T is an L1 solution of a system of (vector-valued) refinement equations involving expansion by a dilation matrix A, which is an expanding integer matrix. A refinable function vector is called orthogonal if {φj (x − α) : α ∈ Zn, 1 ≤ j ≤ r} form an orthogonal set of functions in L2(Rn)...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 1998
ISSN: 1063-5203
DOI: 10.1006/acha.1997.0233