CAJ | 학술논문

利用参数曲面局部凸的条件，导出了（准）均匀B-样条曲面局部凸的充分条件。证明了带有凸的平行四边形控制子网格的（准）均匀B-样条曲面片的凸的。给出了（准）均匀B-样条曲面保凸拼接的控制顶点算法，并给出了几个三次B-样条曲面保凸拼接实例。
이용삼수곡면국부철적조건，도출료（준）균균B-양조곡면국부철적충분조건。증명료대유철적평행사변형공제자망격적（준）균균B-양조곡면편적철적。급출료（준）균균B-양조곡면보철병접적공제정점산법，병급출료궤개삼차B-양조곡면보철병접실례。
In this paper, based on the locally convex conditions of parametric surfaces, the sufficient conditions of locally convex uniform B-spline surfaces are derived. It proves that the uniform B-spline surfaces patches with the parallel quadrilateral control nets are the convex surfaces. The algorithms for convexity preserving connection for uniform B-spline surfaces are given. Finally, a few examples are given.