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INTRODUCTIONOffsetsareusedinmanyindustrialapplica-tions,suchastoolpathsinnumerical-control(NC)machining,planningpathsformobilerobotsandinCAD/CAMfields.TheparametricrepresentationofcurveinCAGDisbasedonemployingpolyno-mialorrationalfunction.Planecurveanditsoff-setsareusuallydefinedbyparametricformssuchasr(t)=(x(t),y(t));offsetsared()()()ttdt=眗rn,n(t)isnormalvectorofr(t),disdistancealongn(t).Butthegenerationofoffsetcurvesisnotasimpletaskbecausen(t)ingeneralhasnorationalexpression.Sofar… 相似文献
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Two kinds of B-basis of the algebraic hyperbolic space 总被引：15，自引：2，他引：15
In this paper, two new kinds of B-basis functions called algebraic hyperbolic (AH) Bezier basis and AH B-Spline basis are presented in the space (?)k=span{1,t,...,tk-3,sinht,cosht}, in which K is an arbitrary integer larger than or equal to 3. They share most optimal properties as those of the Bezier basis and B-Spline basis respectively and can represent exactly some remarkable curves and surfaces such as the hyperbola, catenary, hyperbolic spiral and the hyperbolic paraboloid. The generation of tensor product surfaces of the AH B-Spline basis have two forms: AH B-Spline surface and AH T-Spline surface. 相似文献
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提出了一种基于有序简单多边形的平面点集凸包快速求取的改进算法,新的算法能够避免极值点重合的问题。本文算法不仅达到了O(nlnn)的理论时间复杂度下限,而且算法简单,易于实现。 相似文献
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In this paper,a G1, C1, C2 PH-spline is employed as an approximation for a given Bézier curve within error bound and further renders offset which can be regarded as an approximate offset to the Bézier curve. The errors between PH-spline and the Bézier curve, the offset to PH-spline and the offset to the given Bézier curve are also estimated. A new algorithm for constructing offset to the Bézier curve is proposed. 相似文献
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Bézier curves with shape parameter 总被引：3，自引：0，他引：3
INTRODUCTION The Bézier curves and surfaces form a basic toofor constructing free form curves and surfaces. Manbasis-like Bézier basis are presented. Said (1989) anGoodman and Said (1991) constructed the Ball basisMainar et al.(2001) found some bases for the space{1, t, cost, sint, cos2t, sin2t}, {1, t, t2, cost, sint}, an{1, t, cost, sint, tcost, tsint}. Chen and Wang (2003gave the C-Bézier basis in the space {1, t, t2, …, tn?2sint, cost}. Wang and Wang (2004) put forwarUniform… 相似文献
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第二届中韩几何设计与可视计算双边学术会议于2006年8月23日至25日在中国杭州举行,由浙江大学负责承办。计算机辅助几何设计与计算机图形学是当代高技术学科之一,其主要内容是对几何外形信息的计算机表示、显示、分析、设计与综合。应用范围除了航空、造船、汽车这三大制造业外,还深入到机械制造、建筑、地形地貌、生物工程、医疗诊断、航天材料、电子工程、机器人、军事作战、计算机视觉、服装鞋帽、电影动画、多媒体技术等高技术领域,涉及计算机辅助设计、辅助制造、辅助工程、辅助工艺计划编制(CAD/CAM/CAE/CAPP)的一体化与网络化… 相似文献
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在"欧拉三角剖分"问题的基础上进一步考虑三角剖分方法数与对角线的关系.通过分析五边形和六边形在减少一些对角线后可能的三角剖分方法数,给出了凹多边形三角剖分方法数上界的计算公式. 相似文献
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