Approximation by Shepard type pseudo-linear operators and applications to Image Processing

doi:10.1016/j.ijar.2008.01.007

Approximation by Shepard type pseudo-linear operators and applications to Image Processing

2009-01-01

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DOI：10.1016/j.ijar.2008.01.007

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Recently, it has been shown that sum and product are not the only operations that can be used in order to define concrete approximation operators. Several other operations provided by fuzzy sets theory can be used. In the present paper, pseudo-linear approximation operators are investigated from the practical point of view in Image Processing. We study max-min, max-product Shepard type approximation operators together with Shepard operators based oil pseudo-operations generated by an increasing continuous generator. It is shown that in several cases these outperform classical approximation operators based on sum and product operations. (c) 2008 Elsevier Inc. All rights reserved.

Keywords:

Approximation

Pseudo-analysis

Shepard operators

Pseudo-linear approximation

Image Processing

Approximation by Shepard type pseudo-linear operators and applications to Image Processing

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