中国航空学报（英文版）
中國航空學報（英文版）
중국항공학보（영문판）
CHINESE JOURNAL OF AERONAUTICS
2003年
4期
241-246
,共6页
计算机辅助设计%几何连续%非均匀有理B样条
計算機輔助設計%幾何連續%非均勻有理B樣條
계산궤보조설계%궤하련속%비균균유리B양조
computer aided design%geometric continuity%non-uniform rational B-spline
非均匀有理B样条(NURBS)曲线、曲面造型理论是当前最先进的几何造型方法之一,大量基于NURBS的实用造型系统得到发展.对NURBS而言,虽然具有参数连续性,但为了实用需要,仍需构造具有一定光滑程度的合成曲面,满足局部设计和修改的目的.在作者给出的具有公共三次曲线的NURBS曲面片G1光滑拼接算法基础上,给出了具有公共三次曲线的NURBS曲面片G2光滑拼接条件,得到了相应控制顶点、权系数的具体算法;对于一个已知NURBS曲面,构造另一个NURBS曲面,使其达到G2拼接是简单易行的.
非均勻有理B樣條(NURBS)麯線、麯麵造型理論是噹前最先進的幾何造型方法之一,大量基于NURBS的實用造型繫統得到髮展.對NURBS而言,雖然具有參數連續性,但為瞭實用需要,仍需構造具有一定光滑程度的閤成麯麵,滿足跼部設計和脩改的目的.在作者給齣的具有公共三次麯線的NURBS麯麵片G1光滑拼接算法基礎上,給齣瞭具有公共三次麯線的NURBS麯麵片G2光滑拼接條件,得到瞭相應控製頂點、權繫數的具體算法;對于一箇已知NURBS麯麵,構造另一箇NURBS麯麵,使其達到G2拼接是簡單易行的.
비균균유리B양조(NURBS)곡선、곡면조형이론시당전최선진적궤하조형방법지일,대량기우NURBS적실용조형계통득도발전.대NURBS이언,수연구유삼수련속성,단위료실용수요,잉수구조구유일정광활정도적합성곡면,만족국부설계화수개적목적.재작자급출적구유공공삼차곡선적NURBS곡면편G1광활병접산법기출상,급출료구유공공삼차곡선적NURBS곡면편G2광활병접조건,득도료상응공제정점、권계수적구체산법;대우일개이지NURBS곡면,구조령일개NURBS곡면,사기체도G2병접시간단역행적.
Non-uniform rational B-spline (NURBS) curves and surfaces are becoming increasingly widespread. The author have explored G1 continuity condition between adjacent NURBS surface patches along common cubic boundary curve. On the basis of the research performed, this paper presents a G2 continuity condition between adjacent NURBS patches along common cubic boundary curve and deduces a specific algorithm for contro1 points and weights of NURBS patch. For making another NURBS patch and one given NURBS patch to attain G2, according to algorithm condition, one can adjust another patch control points and weights. It is much more convenient for engineers to apply.
