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In this paper, a noise replacement scheme based on adaptive polynomial interpolation (NRAPI) is proposed, where the perfect noise detection is assumed. In the NRAPI, the zeroorder and the first-order polynomial interpolation schemes are adaptively applied in the noise replacement according to the noise density. It is observed that the proposed zero-order noise replacement scheme generally has better contrast and visual quality when the noise density is high and that the proposed first-order noise replacement scheme has better visual quality for cases of low and mild noise density. Consequently, the proposed NRAPI combines the zero-order and the first-order noise replacement schemes for better performance. The proposed NRAPI is justified by several images and compared with two newly reported noise replacement schemes. The simulation results indicate that the proposed NRAPI has better visual quality of restored images than those from the zeroorder and the first-order noise replacement schemes, as expected.

In this paper, we apply the one-dimensional polynomial interpolation (1-D PI) to salt and pepper noise removal. The difference between the proposed approach and median based schemes is that the noise pixel is replaced by an interpolated value instead of median in the window. With window, two non-noise neighbor pixels are used to estimate the noise pixel by first-order PI. Then the interpolated value takes the place of noise pixel. The proposed approach is justified by two examples. The results indicate that the proposed approach has better visual quality in the examples when compared with conventional median filter and adaptive median filter. 3×

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