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By Say Song Goh, Tim N. T. Goodman and S. L. Lee


Abstract. Using their unitary extension principle, Ron and Shen have constructed a normalized tight frame for L2 (R) consisting of spline functions with uniform knots. This paper constructs a normalized tight frame for L2 ((0, ∞)) comprising spline functions with knots on a hybrid of uniform and geometric mesh. The construction is motivated by applications in adaptive approximation using spline functions on a hybrid mesh that admits a natural dyadic multiresolution approximation of L2 ((0, ∞)) based on dilation and translation. 1

Year: 2011
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