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摘 要：为了使细分格式具有好的性质：如光滑性、保凸性，提出了3点binary插值细分格式，然后分析了该细分格式的连续性、保凸性以及分形等性质与参数之间的关系，最后给出了该细分格式性质的一些应用。#br# 关 键 词：插值细分格式; 连续性; 保凸性; 分形性质
Abstract: In order to make the subdivision scheme which has good properties, such as continuity, preserving-convexity, a 3-point binary interpolatory subdivision scheme is proposed. Then, the relationship between the properties including continuity, preserving-convexity and fractal property and the parameter are analyzed. Finally, some applications are given about the properties of the subdivision scheme.#br# Key words: interpolatory subdivision schemes; continuity; preserving-convexity; fractal property
摘要： 为了使细分格式具有好的性质：如光滑性、保凸性，提出了3点binary插值细分格式，然后分析了该细分格式的连续性、保凸性以及分形等性质与参数之间的关系，最后给出了该细分格式性质的一些应用。
