Search results for "interpolating splines"

showing 2 items of 2 documents

ON SOME GENERALIZATION OF SMOOTHING PROBLEMS

2015

The paper deals with the generalized smoothing problem in abstract Hilbert spaces. This generalized problem involves particular cases such as the interpolating problem, the smoothing problem with weights, the smoothing problem with obstacles, the problem on splines in convex sets and others. The theorem on the existence and characterization of a solution of the generalized problem is proved. It is shown how the theorem gives already known theorems in special cases as well as some new results.

interpolating splinesBox splineGeneralizationsmoothing splinesRegular polygonHilbert spaceCharacterization (mathematics)CombinatoricsSmoothing splinesymbols.namesakeModeling and Simulationmixed splinesQA1-939symbolsApplied mathematicssplines in convex setsMathematicsAnalysisSmoothingComputingMethodologies_COMPUTERGRAPHICSMathematicsMathematical Modelling and Analysis
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Local cubic splines on non-uniform grids and real-time computation of wavelet transform

2017

In this paper, local cubic quasi-interpolating splines on non-uniform grids are described. The splines are designed by fast computational algorithms that utilize the relation between splines and cubic interpolation polynomials. These splines provide an efficient tool for real-time signal processing. As an input, the splines use either clean or noised arbitrarily-spaced samples. Formulas for the spline’s extrapolation beyond the sampling interval are established. Sharp estimations of the approximation errors are presented. The capability to adapt the grid to the structure of an object and to have minimal requirements to the operating memory are of great advantages for offline processing of s…

local splinesreal-time wavelet transformMathematicsofComputing_NUMERICALANALYSISdiscrete vanishing momentsquasi-interpolating splinesComputingMethodologies_COMPUTERGRAPHICS
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