Approximation of the function with spline discrete bases

Non-Homogeneous Spline Bases for Approximation on the Sphere

Nonlinear n-term Approximation from Hierarchical Spline Bases

This article is a survey of some recent developments which concern two multilevel approximation schemes: (a) Nonlinear n-term approximation from piecewise polynomials generated by anisotropic dyadic partitions in R, and (b) Nonlinear n-term approximation from sequences of hierarchical spline bases generated by multilevel triangulations in R. A construction is given of sequences of bases consist...

Discrete B-Spline Approximation in a Variety of Norms

B-splines can be used to approximate data in a variety of metrology applications. In general, the approximation is carried out so as to minimize a criterion deened in terms of the least squares norm. However, often this choice of norm is inappropriate , and a measure such as thè 1 or minimax norm should be chosen. In this tutorial paper, we introduce the topic of B-splines, and we discuss the a...

Tensor Product Spline Surface Approximation of a Discrete Point Field

1. Theoretical approach Designing the appropriate surface that approximates a certain point vector is one of the most challenging engineering tasks. Some of the aero and hydrodynamic profiles, materials plastic deformation technological problems are to be approached through surface approximation. Usually, the discrete input is achieved after coordinate measuring of a certain model. The designer...

Multivariate spline approximation of the signed distance function

The signed distance function can effectively support many geometry processing tasks such as decimates, smoothing and shape reconstruction since it provides efficient access to distance estimates. In this talk, we present an adaptive method to approximate the signed distance function of a smooth curve by using polynomial splines over type-2 triangulation. The trimmed offsets are also studied.