用于参数曲线自由变形的新的伸缩因子  

A New Extension Factor for Free-Form Deformation of Parametric Curves

作　　者：宋来忠[1] 彭刚[2] 杨文颖[1] 张先波[1] 

机构地区：[1]三峡大学理学院,湖北宜昌443002 [2]三峡大学水电土木学院,湖北宜昌443002

出　　处：《工程图学学报》2009年第3期87-93,共7页Journal of Engineering Graphics

基　　金：国家自然科学基金资助项目(50679039)

摘　　要：构造了一种新的伸缩因子函数,以改进参数曲线自由变形方法。它不仅具有已有伸缩因子的特性,还可在区间上达到峰值,克服了现有伸缩因子仅在一点达到峰值的不足。在将新的伸缩因子作用于待变形的曲线方程时,可通过交互改变控制参数来控制曲线的形状,以获得丰富的变形效果。叙述了在混凝土骨料随机分布的二维优化数学仿真模型中的应用。A new extension factor is constructed for free-form deformation of parametric curves. The new extension factor not only has the features of those existed extension factors, but also can achieve the maximum value in an interval. The original curve can be deformed through multiplying by the operator matrix or adding the multiplication of some vector field by the operator matrix. Through modifying control parameters interactively, the shape of curves can be deformed effectively. The method is simple, intuitive and easy to control. An example of application in 2D mathematical simulation modeling for concrete aggregate is described.

关 键 词：计算机应用 参数曲线 伸缩因子 几何造型 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]