CAJ | 학술논문

本文得到了关于两个双三次内部重结点B-样条曲面片G1连续的充分必要条件和在公共边界线上控制向量的本征条件.这些条件直接由两个B-样条曲面的控制向量表示.文[10]证明了使用内部单结点的双三次B-样条曲面来构造G1光滑曲面,局部格式不存在.使用本文的这些条件就可以构造出具有局部各式的G1光滑造型.
본문득도료관우량개쌍삼차내부중결점B-양조곡면편G1련속적충분필요조건화재공공변계선상공제향량적본정조건.저사조건직접유량개B-양조곡면적공제향량표시.문[10]증명료사용내부단결점적쌍삼차B-양조곡면래구조G1광활곡면,국부격식불존재.사용본문적저사조건취가이구조출구유국부각식적G1광활조형.
The conditions for G1 continuity between two adjacent bicubic B-spline surfaces with double interior knots along their common boundary curve are obtained in this paper,which are directly represented by the control points of the two B-spline surfaces. As stated by Shi Xi-quan and Zhao Yan, a local scheme of constructing G1 continuous B-spline surface models with single interior knots does not exist; we may achieve a local scheme of (true) G1 continuity over an arbitrary B-spline surface network using these conditions.