L1 Approximating Splines with Locally Computed Coefficients for Discrete Data
Technical Report,17 Aug 2012,16 Dec 2015
North Carolina State University Raleigh
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The objective of the proposed research is to shift from the global structure previously used for L1 approximating splines to the local structure that has been so successful for L1 interpolating splines. Larger effects of this univariate research include 1 It will lead to computationally cheap, shape-preserving nonparametric and parametric bi- and multivariate L1 spline fits for modeling irregular, multiscale 3D point clouds for reconstruction and texturing of urban terrain and of irregular geometrical objects. 2 It may lead to a new class of bileveloptimization algorithms.
- Theoretical Mathematics