DSpace
 

DSpace at IIT Bombay >
IITB Publications >
Proceedings papers >

Please use this identifier to cite or link to this item: http://dspace.library.iitb.ac.in/jspui/handle/10054/600

Title: Optimal parameter choice for a class of cubic interpolation kernels and the associated error analysis
Authors: AGGARWAL, M
GADRE, VM
Keywords: approximation theory
numerical methods
error analysis
optimization
Issue Date: 1996
Publisher: IEEE
Citation: Proceedings of the International Conference on Image Processing (V 3), Lausanne, Switzerland, 16-19 Sepetemmber 1996, 723-726
Abstract: Two issues related to a class of cubic kernels for interpolation with a single free parameter are addressed in this paper. The first issue relates to parametrizing the cubic interpolation kernel optimally for arbitrary kernel length keeping in view the need to cancel all error terms up to the second order. This builds upon the results of Keys (1981) where the optimal parameter value is obtained only for a kernel length of 2. The second issue relates to obtaining a precise mathematical formulation for the advantage gained in increasing the kernel length. The associated third order error analysis shows that the error coefficients decrease monotonically in magnitude with an increase in the kernel length. Asymptotic results are also obtained for the splin.
URI: 10.1109/ICIP.1996.560787
http://hdl.handle.net/10054/600
http://dspace.library.iitb.ac.in/xmlui/handle/10054/600
ISBN: 0-7803-3259-8
Appears in Collections:Proceedings papers

Files in This Item:

File Description SizeFormat
ev-7.pdf305.97 kBAdobe PDFView/Open
View Statistics

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

 

Valid XHTML 1.0! DSpace Software Copyright © 2002-2010  Duraspace - Feedback