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.
出处
《工程图学学报》
CSCD
北大核心
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)
关键词
计算机应用
参数曲线
伸缩因子
几何造型
computer application
parametric curves
extension factor
geometric modeling
