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Determining optimal value of the shape parameter $c$ in RBF for unequal distances topographical points by Cross-Validation algorithm | ||
| Journal of Mathematical Modeling | ||
| مقاله 11، دوره 5، شماره 1، شهریور 2017، صفحه 53-60 اصل مقاله (376.58 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2017.2225 | ||
| نویسندگان | ||
| Mohammadreza Yaghouti* ؛ Habibe Ramezannezhad Azarboni | ||
| Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran | ||
| چکیده | ||
| Several radial basis function based methods contain a free shape parameter which has a crucial role in the accuracy of the methods. Performance evaluation of this parameter in different functions with various data has always been a topic of study. In the present paper, we consider studying the methods which determine an optimal value for the shape parameter in interpolations of radial basis functions for data collections produced by topographical images that are not necessarily in equal distances. The Cross-Validation method is picked out of several existing algorithms proposed for determining the shape parameter. | ||
| کلیدواژه‌ها | ||
| Radial Basis Function؛ Cross-Validation error؛ three-dimensional image | ||
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