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Second order derivative sampling and its application into image scaling

In this paper, based on the derivative sampling in the fractional Fourier transform (FRFT) domain, we present a novel image scaling algorithm. The proposed algorithm uses the second order derivative sampling (SDS) formula we derived in the paper, and employs the FRFT filters for the first time. Besides, we have exploited two evaluation criteria of different image scaling algorithms, the standard deviation for evaluation of the blur and the average curvature for evaluation of the aliasing. Experimental results show that our proposed algorithm has fine-edge characteristic, less blur and aliasing than some classical image scaling algorithms. Moreover, our algorithm is competitive for quality with the Papoulis algorithm.