摘要
传统的造型方法都是基于纯粹的几何模型，通过几何上的型值点或边界曲线定义曲线或曲面，难于进行交互修改．基于物理模型的变形曲线、曲面造型方法将参数化几何描述方法与力学原理结合起来，使曲线曲面变形形态在一定程度上与弹性梁和薄壳相似．设计者可以通过施加于变形曲线曲面上的力或约束，或改变曲线曲面本身刚度来改变其局部或整体形状，克服了局部控制与总体光顺的矛盾．该造型方法已在光顺。
The surface modeling techniques in current CAD systems are generally based on the purely mathematical theories of parametrically described geometry. It is very difficult to design interactively fair surfaces which interpolate given data points or boundary curves. Physics based modeling techniques are based on physical laws. So the deformation has a great similarity to elastic beams and plates, this makes their behavior natural and fair. The designer can simply and intuitively sculpt the local or global shape by adjusting the applied forces, geometric constraints and physical parameters, therefor can mediate the contradictory of local shape manipulation and global fairness as well as convexity. This method has been used in fairing, N sided patch blending surfaces and joining surfaces.
出处
《北京航空航天大学学报》
EI
CAS
CSCD
北大核心
1999年第4期471-474,共4页
Journal of Beijing University of Aeronautics and Astronautics
基金
国家863计划
航空科学基金
关键词
B样条曲面
约束
几何造型
变形模型
B splines
curved surface
constraints
geometric modeling
deformable model
