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Optimal parameter choice for a class of cubic interpolation kernels and the associated error analysis

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Title Optimal parameter choice for a class of cubic interpolation kernels and the associated error analysis
 
Creator AGGARWAL, M
GADRE, VM
 
Subject approximation theory
numerical methods
error analysis
optimization
 
Description 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.
 
Publisher IEEE
 
Date 2009-02-04T06:08:04Z
2011-11-28T07:22:30Z
2011-12-15T09:56:59Z
2009-02-04T06:08:04Z
2011-11-28T07:22:30Z
2011-12-15T09:56:59Z
1996
 
Type Conference Papers / Proceedings
 
Identifier Proceedings of the International Conference on Image Processing (V 3), Lausanne, Switzerland, 16-19 Sepetemmber 1996, 723-726
0-7803-3259-8
10.1109/ICIP.1996.560787
http://hdl.handle.net/10054/600
http://dspace.library.iitb.ac.in/xmlui/handle/10054/600
 
Language en