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An Extension of a New Kind of Graphics Fitting Method |
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PP: 741-747 |
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Author(s) |
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Shaohui Deng,
Sujie Guan,
Guozhao Wang,
Shaobo Deng,
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Abstract |
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| The progressive iterative approximation method (PIA) for fitting is developed in recent years. The previous research is
mainly restricted to the normalized totally positive (NTP) basis. In this paper, we propose a new extended method which can unify
the classic PIA method, weighted PIA method (WPIA) and local PIA (LPIA) method into one formula by introducing the transform
matrix. In addition, the method presented by us has the following advantages: firstly, it can be applied to any basis; secondly, compared
with other extended methods, the convergence rate of our method can be independent of the initial parameterizations; thirdly, for the
NTP basis, the extended PIA method can be accelerated greatly with the fastest convergence rate. Finally, we present two numerical
examples to show that our algorithm is efficient. |
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