CAJ | 학술논문

提出了四边形网格的三分细分模式.对于正则和非正则四边形网格,分别采用不同的细分模板获得新的细分顶点.从双三次B样条中推导出正则四边形网格的三分细分模板,极限曲面C2连续;对细分矩阵进行傅里叶变换,推导出非正则四边形网格的三分细分模板,极限曲面C1连续.提出的三分细分模式可以解决任意拓扑四边形网格的曲面细分问题.与其他细分模式相比,具有收敛速度快、适用范围广等优点.最后给出了四边形网格细分的实例.
제출료사변형망격적삼분세분모식.대우정칙화비정칙사변형망격,분별채용불동적세분모판획득신적세분정점.종쌍삼차B양조중추도출정칙사변형망격적삼분세분모판,겁한곡면C2련속;대세분구진진행부리협변환,추도출비정칙사변형망격적삼분세분모판,겁한곡면C1련속.제출적삼분세분모식가이해결임의탁복사변형망격적곡면세분문제.여기타세분모식상비,구유수렴속도쾌、괄용범위엄등우점.최후급출료사변형망격세분적실례.
This paper proposes a ternary stationary subdivision scheme for quadrilateral mesh. For regular and irregular quadrilateral meshes, different subdivision masks are applied to generate new vertices. The number of faces on the refined mesh is about nine times than that of the coarse mesh after every subdivision step. The limit surface generated by the new method is C2 continuous for a regular mesh and C1 continuous for an irregular mesh. Compared with typical subdivision schemes, the proposed scheme has faster convergence speed and the ability to solve arbitrary topological quadrilateral mesh. Some examples are given in the end to illustrate the performance of the new subdivision scheme.