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## Computer aided geometric design of identical slope gradient surface in engineering

LI Juncheng1,SONG Laizhong2(1.Department of Mathematics,Hunan Institute of Humanities,Science and Technology,Loudi 417000,China;2.College of Science,China Three Gorges University,Yichang 443002,China)
The equation of identical slope gradient surface could be constructed expediently when the exact expression of lead curve is known.But in practical engineering,the exact expression of lead curve is hard to obtain;and only some measured data points are given.For solving that problem,a method of constructing the identical slope gradient surface in engineering is presented.Firstly,cubic parametric interpolation curve with second order continuous is constructed according as the measured data points,which is regarded as the lead curve.Then,the parametric equation of identical slope gradient surface is constructed based on the forming principle of that surface,which forms the basis for computer aided geometric design of identical slope gradient surface.Lastly,some examples are given to show that the method is feasible and effectual,which accord with the practical engineering.
【CateGory Index】： TB21
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 【Citations】
 Chinese Journal Full-text Database 3 Hits
 1 LIU Qingke,MAO Jun(Mechanical Engineering College,Liaoning Technical University,Fuxin 123000,China);Equation of same slope curved surface and its application to design and drawing of bend and inclined road surface slope[J];武汉大学学报(工学版);2006-04 2 QU Zhen-sheng (Mechanical Engineering College, Liaoning Technical University, Fuxin 123000, China);The Application of the Circular spline Curve in the Road Schedule Drawing[J];辽宁工程技术大学学报(自然科学版);2000-06 3 Chen Yongxi Centre of Engineering and Computer Graphics Wuhan University of Hydraulic and Electric Engineering;MATHEMATICAL MODEL AND COMPUTER AIDED GEOMETRIC DESIGN OF IDENTICAL SLOPE GRADIENT SURFACES[J];工程图学学报;1998-01
 【Co-citations】
 Chinese Journal Full-text Database 2 Hits
 1 LI Jun-cheng(Department of Mathematics,Hunan Institute of Humanities,Science and Technology,Loudi Hunan 417000,China);A Method for Constructing Identical Slope Surface Based on Parametric Spline Interpolation[J];工程图学学报;2011-01 2 LI Juncheng1,SONG Laizhong2(1.Department of Mathematics,Hunan Institute of Humanities,Science and Technology,Loudi 417000,China;2.College of Science,China Three Gorges University,Yichang 443002,China);Computer aided geometric design of identical slope gradient surface in engineering[J];武汉大学学报(工学版);2010-01
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