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[en] Aiming at the high time complexity of the decoding phase in the traditional image enlargement methods based on fractal coding, a novel image magnification algorithm is proposed in this paper, which has the advantage of iteration-free decoding, by using the similarity analogy between an image and its zoom-out and zoom-in. A new pixel selection technique is also presented to further improve the performance of the proposed method. Furthermore, by combining some existing fractal zooming techniques, an efficient image magnification algorithm is obtained, which can provides the image quality as good as the state of the art while greatly decrease the time complexity of the decoding phase.
[en] In this paper, we analyze the fractal property of Hassan's 3-point ternary interpolatory subdivision scheme with two parameters. The fractal range of the scheme is obtained and illustrated. Many examples show that the obtained results suggest a clear direction to generate fractal curves and surfaces by using this scheme