CAJ | 학술논문

本文首先提出流形网格上的de Boor算法.此算法可用于生成网格模型上的B样条曲线.测地B样条曲线适用于网格模型上自由曲线的设计.其次,证明了测地B样条曲线的一些重要性质,如凸包性,局部调整性和保凸性等性质.最后,在Visual C++6.0语言环境下,利用OpenGL图形库给出网格模型上B样条曲线生成的一些实例.实验结果表明,本文提出的算法正确、稳定、快速且容易实现,具有较好的仿真效果.
본문수선제출류형망격상적de Boor산법.차산법가용우생성망격모형상적B양조곡선.측지B양조곡선괄용우망격모형상자유곡선적설계.기차,증명료측지B양조곡선적일사중요성질,여철포성,국부조정성화보철성등성질.최후,재Visual C++6.0어언배경하,이용OpenGL도형고급출망격모형상B양조곡선생성적일사실례.실험결과표명,본문제출적산법정학、은정、쾌속차용역실현,구유교호적방진효과.
De Boor algorithm was given over manifold meshes. B-spline curves over arbitrary topological mesh are constructed by us-ing the algorithm. Geodesic B-spline curves are suitable for designing free curves over arbitrary topological mesh. Some important properties were proved for geodesic B-spline curve, such as convex hull, local adjustment and convexity preserving properties. Under Visual C++6.0, B-spline curve on meshes were given by OpenGL. Examples show that the algorithm are correct, stable, fast and easy in implementation. There is a good effect of simulation for all examples.