Please use this identifier to cite or link to this item:
|Title:||Adaptive B-spline knot selection using multi-resolution basis set||Authors:||Yuan, Y.
free knot splines
|Issue Date:||1-Dec-2013||Citation:||Yuan, Y., Chen, N., Zhou, S. (2013-12-01). Adaptive B-spline knot selection using multi-resolution basis set. IIE Transactions (Institute of Industrial Engineers) 45 (12) : 1263-1277. ScholarBank@NUS Repository. https://doi.org/10.1080/0740817X.2012.726758||Abstract:||B-splines are commonly used to fit complicated functions in Computer Aided Design and signal processing because they are simple yet flexible. However, how to place the knots appropriately in B-spline curve fitting remains a difficult problems. This article discusses a two-stage knot placement method to place knots adapting to the curvature structures of unknown function. In the first stage, a subset of basis functions is selected from the pre-specified multi-resolution basis set using a statistical variable selection method: Lasso. In the second stage, a vector space that is spanned by the selected basis functions is constructed and a concise knot vector is identified that is sufficient to characterize the vector space to fit the unknown function. The effectiveness of the proposed method is demonstrated using numerical studies on multiple representative functions. © 2013 Taylor and Francis Group, LLC.||Source Title:||IIE Transactions (Institute of Industrial Engineers)||URI:||http://scholarbank.nus.edu.sg/handle/10635/62993||ISSN:||0740817X||DOI:||10.1080/0740817X.2012.726758|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Oct 16, 2019
WEB OF SCIENCETM
checked on Oct 9, 2019
checked on Oct 13, 2019
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.