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Title: Detection of C2-singularities using uniform spline approximations
Author: Nagler, Johannes
Kaehler, Uwe
Keywords: Inverse theorem
Schoenberg operator
Singularity detection
Spline approximation
Issue Date: 2017
Publisher: Wiley
Abstract: For the detection of C2-singularities, we present lower estimates for the error in Schoenberg variation-diminishing spline approximation with equidistant knots in terms of the classical second-order modulus of smoothness. To this end, we investigate the behaviour of the iterates of the Schoenberg operator. In addition, we show an upper bound of the second-order derivative of these iterative approximations. Finally, we provide an example of how to detect singularities based on the decay rate of the approximation error.
Peer review: yes
DOI: 10.1002/mma.4614
ISSN: 1099-1476
Appears in Collections:CIDMA - Artigos
CHAG - Artigos

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