软件学报
軟件學報
연건학보
JOURNAL OF SOFTWARE
2003年
4期
830-837
,共8页
样条曲面%控制三角形网格%三角形Bézier片%几何连续性%混合比
樣條麯麵%控製三角形網格%三角形Bézier片%幾何連續性%混閤比
양조곡면%공제삼각형망격%삼각형Bézier편%궤하련속성%혼합비
spline surface%control triangular mesh%triangular Bézier patch%geometric continuity%blend ratio
介绍了一种在控制三角形网格上创建光滑样条曲面的算法,该控制网格能够刻画具有或没有边界的任意自由曲面.生成的曲面有一个4次参数多项式表示并且被表示成一个切平面连续的三角形Bézier片网.曲面对网格的逼近程度受到一个混合比控制,当混合比为0时,产生的曲面插值网格.该算法是一种局部方法,简单且效率高,适合于外形设计.
介紹瞭一種在控製三角形網格上創建光滑樣條麯麵的算法,該控製網格能夠刻畫具有或沒有邊界的任意自由麯麵.生成的麯麵有一箇4次參數多項式錶示併且被錶示成一箇切平麵連續的三角形Bézier片網.麯麵對網格的逼近程度受到一箇混閤比控製,噹混閤比為0時,產生的麯麵插值網格.該算法是一種跼部方法,簡單且效率高,適閤于外形設計.
개소료일충재공제삼각형망격상창건광활양조곡면적산법,해공제망격능구각화구유혹몰유변계적임의자유곡면.생성적곡면유일개4차삼수다항식표시병차피표시성일개절평면련속적삼각형Bézier편망.곡면대망격적핍근정도수도일개혼합비공제,당혼합비위0시,산생적곡면삽치망격.해산법시일충국부방법,간단차효솔고,괄합우외형설계.
The paper introduces an algorithm for creating smooth spline surfaces over control triangular meshes capable of outlining arbitrary free-form surfaces with or without boundary. The resulting surface has a degree 4 parametric polynomial representation and is represented as a network of tangent plane continuous triangular Bézier patches. The approximation of resulting surface to mesh is controlled by a blend ratio; when the blend ratio is zero, surfaces interpolate meshes. The algorithm is a local method, simple, efficient and fit for appearance design.
