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船体曲面的NURBS表达与设计 被引量:12

Ship hull surface′s NURBS representation and design
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摘要 在 Auto CAD的 Object ARX开发环境中 ,以 VC+ + 为编程语言 ,建立了 Auto CAD图形数据库与外部数据库的数据链接 .采用非均匀有理 B样条技术 ,对给定型值点的船体曲面插值及边界条件处理进行了研究 ,构造出以 NURBS为统一数学表达式的船体曲面 .根据投影原理 ,对船体曲面与任意平面的求交问题给出数值算法 .首先用直线段逼近曲面的单参数曲线 ,在投影坐标系内求出直线段与平面的交点 ,再将交点映射到实际坐标系中得到真实的交点 。 Using the object-oriented technique, authors define the customer classes for ship-hull form modeling in the ObjectARX programming environment. Through DAO database API of MFC, the connection between AutoCAD and outside database (MS Access, MSSQL Server etc.) is established. According to the points net of offset, authors give the boundary conditions, interpolate the ship hull shape with NURBS surface, and represent the ship hull form. At last, an algorithm for surface-plane intersection based on projection principle is proposed. Firstly isoparametric curves are divided into line segments respectively. Then a new auxiliary space, i.e. projection-coordinate system, is established. Projecting intersections between plane and line segments in auxiliary space, mapping intersections form auxiliary space into object space, intersections between NURBS surface patches and an arbitrary plane are implemented finally.
出处 《大连理工大学学报》 EI CAS CSCD 北大核心 2002年第5期569-573,共5页 Journal of Dalian University of Technology
基金 国家教育部"跨世纪优秀人才培养计划"基金资助项目 (1999) 高等学校博士学科点专项科研基金资助项目 (2 0 0 0 0 14 12 5)
关键词 曲线插值 船体曲面 曲面造型 NURBS OBJECTARX AutoCAD 非均匀有理B样条 船体设计 Boundary conditions Database systems Design Interpolation
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