计算机光盘软件与应用
計算機光盤軟件與應用
계산궤광반연건여응용
COMPUTER CD SOFTWARE ADN APPLICATIONS
2012年
3期
149-150,148
,共3页
非均匀%细分曲面%非均匀有理B-样条%Lane-Riesenfeld%插入节点
非均勻%細分麯麵%非均勻有理B-樣條%Lane-Riesenfeld%插入節點
비균균%세분곡면%비균균유리B-양조%Lane-Riesenfeld%삽입절점
Non-uniform%Subdivision surfaces%NURBS%Lane-Riesenfeld%Knot insertion
为了得到能更好应用于CAD系统的细分曲面造型方法,提出一种基于B-样条的对称非均匀细分算法,其中的思想和均匀Lane-Riesenfeld节点插入算法相似。基于B-样条的节点插入算法,以Blossoming为工具,计算出细分后的新控制顶点。细分后得到的极限曲面由张量积样条曲面组成,在奇异点达到2C连续。与传统的细分曲面算法相比,该细分曲面算法具有良好的局部支撑性,大大降低了算法的复杂度,而且该算法是对称的,不用考虑定向问题。
為瞭得到能更好應用于CAD繫統的細分麯麵造型方法,提齣一種基于B-樣條的對稱非均勻細分算法,其中的思想和均勻Lane-Riesenfeld節點插入算法相似。基于B-樣條的節點插入算法,以Blossoming為工具,計算齣細分後的新控製頂點。細分後得到的極限麯麵由張量積樣條麯麵組成,在奇異點達到2C連續。與傳統的細分麯麵算法相比,該細分麯麵算法具有良好的跼部支撐性,大大降低瞭算法的複雜度,而且該算法是對稱的,不用攷慮定嚮問題。
위료득도능경호응용우CAD계통적세분곡면조형방법,제출일충기우B-양조적대칭비균균세분산법,기중적사상화균균Lane-Riesenfeld절점삽입산법상사。기우B-양조적절점삽입산법,이Blossoming위공구,계산출세분후적신공제정점。세분후득도적겁한곡면유장량적양조곡면조성,재기이점체도2C련속。여전통적세분곡면산법상비,해세분곡면산법구유량호적국부지탱성,대대강저료산법적복잡도,이차해산법시대칭적,불용고필정향문제。
In order to get a subdivision algorithm which was more compatible with NURBS,presented a non-uniform subdivision algorithm which share similar properties with Lane-Riesenfeld refine and smooth construction.The algorithm was based on knot insertion algorithm of B-splines and was expressed in terms of blossoming.After subdivision,get a limit surface consisting of tensor-product splines and was 2 C at extraordinary points.Compared with the conventional subdivision surfaces algorithm,ours was locally supported that largely reduced the complexity of algorithm,and the algorithm is symmetric,avoiding the problem of direction-orientation.
