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《Journal of Zhejiang University(Engineering Science)》 2010-01
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Construction of cubic C-Bézier spiral and its application in highway design

CAI Hua-hui 1,2 ,WANG Guo-jin 1 (1.Institute of Computer Images and Graphics,State Key Laboratory of CAD&CG,Zhejiang University,Hangzhou 310027,China;2.School of Information Engineering,Jingdezhen Ceramic Institute,Jingdezhen 333403,China)  
A planar cubic C-Bézier spiral with monotone curvature of constant sign was constructed to meet the requirement of highway design,and then the transition curves between straight lines and/or circular arcs were derived in detail.As it is done with clothoids in engineering,a single spiral is used for straight line to circular arc,two spirals suiting C-shaped or S-shaped transition for circular arc to circular arc,two spirals for straight line to straight line,and a single spiral for circular to circular arc when the latter is contained within the former.The concrete expressions for the first four cases were given.In the fifth case,the solution cannot always be obtained.Because straight line segments and circular arcs can be represented precisely by C-Bézier curves,the issues such as highway design can be handled in the system by C-Bézier model,avoiding the difficult situation for computer-aided design system to use the clothoids defined in terms of the Fresnel integral.
【Fund】: 国家自然科学基金资助项目(60933007 60873111)
【CateGory Index】: TP391.41
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【References】
Chinese Journal Full-text Database 3 Hits
1 GAO Hui;SHOU Hua-hao;College of Science, Zhejiang University of Technology;;The construction of α-curves and study of curvature monotony condition[J];高校应用数学学报A辑;2015-03
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【Co-citations】
Chinese Journal Full-text Database 6 Hits
1 JIAO Shu-min;Faculty of Law,Liaoning University;;Reorganization of Invalid Marriage Legislation Problems and the Solution[J];沈阳工程学院学报(社会科学版);2015-03
2 JIANG Yue;FENG Yuan;School of Law,Xiamen University;;The New Reform of Family Trial System in Taiwan and the Enlightenment:An Observation Based on Family Causes Act[J];厦门大学学报(哲学社会科学版);2014-05
3 QI Shu-jie;ZOU Yu-zhuo;School of Law,Xiamen University;;Establishing the Special Procedure of Family Litigation in China[J];厦门大学学报(哲学社会科学版);2014-02
4 Cheng Haibing;Chongqing Yuhai Holding(Group)Co.Ltd;;A Comparative Study of Family Court System:Perspectives from regulation to domestic violence[J];中国人权评论;2013-02
5 ZHAO Lei (South China Agricultural University, Guangzhou 510642,China);Farming Special Procedure: the Procedural Contribution to Solving the Rural Civil Disputes[J];南方农村;2013-03
6 SHI Lei(Applied Law School in Southwest University of Political Science and Law,Chongqing 401120,China);The Evolution of Modern Family Justice System in Great Britain and Its Enlightenment[J];时代法学;2012-05
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