A new fractal-interpolation method called PPA (Pointed Point Algorithm) based on the Iterated Function System (IFS) is proposed to interpolate the signals with the expected interpolation error, solving the problem that the ordinary fractal interpolation cannot get the value of any arbitrary point directly, which has not been found in the existing literature. Experiments on the theoretical data and real field seismic data show that the proposed PPA method can not only get the expected point's value, but also get a great accuracy in the reconstruction of the seismic profile, leading to a significant improvement over other trace interpolation methods.
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