منابع مشابه
two-direction poly-scale refinement equations with nonnegative coefficients
in this paper, we study l1 -solutions of the following two-direction poly-scale refinement equationwe prove that the vector space of all l1 -solutions of the above equation is at most one-dimensional andconsists of compactly supported functions of constant sign. we also show that any- l1 solution of the aboveequation is either positive or negative on its support under a special assumption. with...
متن کاملTwo-direction Poly-scale Refinement Equations with Nonnegative Coefficients
We prove that the vector space of all 1 L -solutions of the above equation is at most one-dimensional and consists of compactly supported functions of constant sign. We also show that any1 L solution of the above equation is either positive or negative on its support under a special assumption. With regard to the solutions of the equation, some simple sufficient conditions for the existence of ...
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Non-Uniform Rational B-Spline (NURBS) surfaces can be non-uniform and defined for any degree, but existing subdivision surfaces are either uniform or of fixed degree. The resulting incompatibility forms a barrier to the adoption of subdivision for ComputerAided Design. In this talk I will discuss our work towards a superset of NURBS which can handle irregularities in the control mesh. We call t...
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Splines can be constructed by convolving the indicator function of the Voronoi cell of a lattice. This paper presents simple criteria that imply that only a small subset of such spline families can be refined: essentially the well-known box splines and tensor-product splines. Among the many non-refinable constructions are hex-splines and their generalization to non-Cartesian lattices. An exampl...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2009
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2009.03.095