Based on our previous investigation and the pioneering work of other researchers, a novel explicit fractal interpolation method based on affine transform is proposed, in which we approximate the vertical scaling facto...Based on our previous investigation and the pioneering work of other researchers, a novel explicit fractal interpolation method based on affine transform is proposed, in which we approximate the vertical scaling factors by the locally explicit expression. Numerical experiments indicate that the explicit fractal interpolation method shows great accuracy of reconstruction of the seismic profile and yields significant improvement over wave-equation based trace interpolation methods （unified approach）.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No 40437018, the National Basic Research Programme of China under Grant No 2007CB209603, and the Open Fund of Key Laboratory of Geo-detection of the Ministry of Education, at China University of Geosciences, Beijing, under Grant No GDL0709.
文摘Based on our previous investigation and the pioneering work of other researchers, a novel explicit fractal interpolation method based on affine transform is proposed, in which we approximate the vertical scaling factors by the locally explicit expression. Numerical experiments indicate that the explicit fractal interpolation method shows great accuracy of reconstruction of the seismic profile and yields significant improvement over wave-equation based trace interpolation methods （unified approach）.
