%0 Journal Article
%T Improved Four Points Subdivision Scheme and its Applications<br>改进四点细分法及其应用
%A ZHAO Hong-Qing
%A PENG Guo-Hua
%A YE Zheng-Lin
%A <br>赵宏庆
%A 彭国华
%A 叶正麟
%J 计算机科学
%D 2006
%I 
%X This paper extends the classical 4 point interpolating subdivision scheme, and brings forward a new 4-point subdivision scheme with four parameters for curve design, which can be controlled by choosing these four parameters appropriately. At the same time, we expand it to surface design. The sufficient conditions of the uniform convergence property and continuity properties of the subdivision scheme are proved. It can generate expectable terrain shapes using 4 point subdivision scheme with four parameters in terrain simulation. Through selecting four parameters flexibly, we can adjust generating terrain shape suitably and produce ample physiognomy shape. We can describe physiognomy de tail because subdivision scheme has multi-scale character. The method can generate terrain simulation preferably and of fer an effective scheme for terrain simulation.
%K Subdivision
%K Multi-scale
%K Surfaces modeling
%K Terrain simulation<br>细分
%K 多尺度
%K 曲面造型
%K 地形模拟
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=64A12D73428C8B8DBFB978D04DFEB3C1&aid=FA10FF7435ED7F8C&yid=37904DC365DD7266&vid=27746BCEEE58E9DC&iid=B31275AF3241DB2D&sid=1DF3F9D75A12D97B&eid=6A73B36E85DB0CE9&journal_id=1002-137X&journal_name=计算机科学&referenced_num=0&reference_num=10