期刊文献+
共找到4篇文章
< 1 >
每页显示 20 50 100
一种G^2连续Hermite样条的构造方法 被引量:3
1
作者 方勇 帅梅 林志航 《机械科学与技术》 CSCD 北大核心 2000年第3期386-388,共3页
通过保证曲线段连接点处的左右曲率矢相等 ,构造 G2连续的 Hermite样条 ,既保持 Hermite样条的原有特点 ,又保证了良好的光顺性 ,以满足研究工作的要求。
关键词 hermite样条 G^2连续 光顺性 坐标测量机
下载PDF
基于双圆弧插值的G^2 Hermite数据容许分割
2
作者 李亚娟 邓重阳 《计算机辅助设计与图形学学报》 EI CSCD 北大核心 2018年第11期2026-2034,共9页
螺线是一种具有单调曲率的平面曲线,只能插值容许G^2Hermite数据(即可用螺线插值的G^2Hermite数据).在G^2 Hermite数据{A,T_A,O_A,B,T_B,O_B}的G1双圆弧插值基础之上,插入一个点(或2个点)以及该点处的切向与曲率值,把给定数据分割成2组(... 螺线是一种具有单调曲率的平面曲线,只能插值容许G^2Hermite数据(即可用螺线插值的G^2Hermite数据).在G^2 Hermite数据{A,T_A,O_A,B,T_B,O_B}的G1双圆弧插值基础之上,插入一个点(或2个点)以及该点处的切向与曲率值,把给定数据分割成2组(或3组)容许G^2Hermite数据,再用G^2连续的分段螺线插值之.根据双圆弧连接弧的不同情形,提供了3种不同的算法.算法几何意义明显,实用性强,能用不超过3条G^2连续的分段螺线插值任意一组非容许G^2 Hermite数据,彻底解决了用最少螺线段插值任意G^2 Hermite数据的问题,对高速公路、高速铁路、机器人行走路线等对几何品质要求较高的曲线设计有潜在的应用价值,最后给出实例表示. 展开更多
关键词 单调曲率 G^2hermite数据 容许G^2hermite数据 G^2hermite插值 螺线
下载PDF
S-型非均匀有理TC-双弧的G^2Hermite插值 被引量:1
3
作者 李少华 唐烁 丁晨 《合肥工业大学学报(自然科学版)》 CAS CSCD 北大核心 2014年第12期1523-1527,共5页
S-型PH(Pythagorean-hodograph,简称PH)曲线可以用于整体构造含有拐点等情况的曲线造型。文章运用分段的思想,通过将有理三次PH曲线与TC-双弧相结合,引入曲率参数κ,构造出插值G2 Hermite数据的S-型PH曲线;与已有的结果相比,构造的曲线... S-型PH(Pythagorean-hodograph,简称PH)曲线可以用于整体构造含有拐点等情况的曲线造型。文章运用分段的思想,通过将有理三次PH曲线与TC-双弧相结合,引入曲率参数κ,构造出插值G2 Hermite数据的S-型PH曲线;与已有的结果相比,构造的曲线更加丰富,且具有更好的光滑性;最后,通过调整端点处的曲率参数κ,使得曲线具有更好的曲率变化。 展开更多
关键词 有理PH三次曲线 G^2hermite插值 非均匀有理TC-双弧
下载PDF
An Optimal Feed Interpolator Based on G^2 Continuous Bézier Curves for High-Speed Machining of Linear Tool Path 被引量:6
4
作者 Yongqiao Jin Sheng Zhao Yuhan Wang 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2019年第3期109-118,共10页
A numerical control (NC) tool path of digital CAD model is widely generated as a set of short line segments in machining. However, there are three shortcomings in the linear tool path, such as discontinuities of tange... A numerical control (NC) tool path of digital CAD model is widely generated as a set of short line segments in machining. However, there are three shortcomings in the linear tool path, such as discontinuities of tangency and curvature, huge number of line segments, and short lengths of line segments. These disadvantages hinder the development of high speed machining. To smooth the linear tool path and improve machining efficiency of short line segments, this paper presents an optimal feed interpolator based on G^2 continuous Bézier curves for the linear tool path. First, the areas suitable for fitting are screened out based on the geometric characteristics of continuous short segments (CSSs). CSSs in every area are compressed and fitted into a G^2 Continuous Bézier curve by using the least square method. Then a series of cubic Bézier curves are generated. However, the junction between adjacent Bézier curves is only G^0 continuous. By adjusting the control points and inserting Bézier transition curves between adjacent Bézier curves, the G^2 continuous tool path is constructed. The fitting error is estimated by the second-order Taylor formula. Without iteration, the fitting algorithm can be implemented in real-time environment. Second, the optimal feed interpolator considering the comprehensive constraints (such as the chord error constraint, the maximum normal acceleration, servo capacity of each axis, etc.) is proposed. Simulation and experiment are conducted. The results shows that the proposed method can generate smooth path, decrease the amount of segments and reduce machining time for machining of linear tool path. The proposed research provides an effective method for high-speed machining of complex 2-D/3-D profiles described by short line segments. 展开更多
关键词 G^2 CONTINUOUS path Least SQUARE method High-speed MACHINING CONTINUOUS short SEGMENTS Optimal FEED INTERPOLATOR data compression
下载PDF
上一页 1 下一页 到第
使用帮助 返回顶部