图学学报
圖學學報
도학학보
Journal of Graphics
2014年
3期
374-378
,共5页
H-Bézier螺线%单调曲率%缓和曲线
H-Bézier螺線%單調麯率%緩和麯線
H-Bézier라선%단조곡솔%완화곡선
H-Bézier spiral%monotone curvature%transition curve
基于光顺曲线设计需求,一条曲率单调且曲率正负不变的三次平面H-Bézier螺线段被构造。由于此螺线具有起点曲率为零的特性,它可以替代回旋曲线作为道路设计中的缓和曲线。同时螺线还含有形状参数,故它具有曲线形状可调性的优点。最后,利用此H-Bézier螺线,构造了两直线间满足G2连续的缓和曲线。
基于光順麯線設計需求,一條麯率單調且麯率正負不變的三次平麵H-Bézier螺線段被構造。由于此螺線具有起點麯率為零的特性,它可以替代迴鏇麯線作為道路設計中的緩和麯線。同時螺線還含有形狀參數,故它具有麯線形狀可調性的優點。最後,利用此H-Bézier螺線,構造瞭兩直線間滿足G2連續的緩和麯線。
기우광순곡선설계수구,일조곡솔단조차곡솔정부불변적삼차평면H-Bézier라선단피구조。유우차라선구유기점곡솔위령적특성,타가이체대회선곡선작위도로설계중적완화곡선。동시라선환함유형상삼수,고타구유곡선형상가조성적우점。최후,이용차H-Bézier라선,구조료량직선간만족G2련속적완화곡선。
Based on the requirement of fairing curves design, a planar cubic H-Bézier spiral with monotone curvature of constant sign is discussed. Since this spiral segment has zero curvature at the beginning point, it is suitable for applications such as highway design where the clothoid has been traditionally used. And since the spiral also contains a shape parameter, it has the advantage of adjustable curve shape. Finally, G2 continuous transition curves between the two lines are constructed by the use of the H-Bézier spirals.