منابع مشابه
Refinable Subspaces of a Refinable Space
Local refinable finitely generated shift-invariant spaces play a significant role in many areas of approximation theory and geometric design. In this paper we present a new approach to the construction of such spaces. We begin with a refinable function ψ : R → Rm which is supported on [0, 1]. We are interested in spaces generated by a function φ : R → Rn built from the shifts of ψ.
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The scope of refinable functions in wavelet theory is focused to localized functions. In our paper we like to widen that scope, in particular we show that all polynomial functions are refinable. This may yield an interesting notion of convolution of polynomials.
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Polycube G-splines form a 2-manifold guided by a mesh of quadrilateral faces such that at most six quads meet at each vertex. In particular, this replicates the layout of the quad faces of a polycube. Polycube G-splines are piecewise bicubic and polycube Gspline surfaces are almost everywhere tangent-continuous (G) based on rational linear reparameterization. They can be constructed in two diff...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1978
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-39-2-263-269