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双刀盘铣齿机床与Free-form型机床的加工运动等效转换 被引量:1
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作者 王志永 李文强 张宇 《机械工程学报》 EI CAS CSCD 北大核心 2024年第21期312-319,共8页
为了实现在国产数控螺旋锥齿轮加工机床上采用单刀盘加工直齿锥齿轮,基于空间运动学原理,在保证工件轴线与刀盘轴线相对位置及相对运动关系不变的前提下,将双刀盘铣齿机床中刀盘与工件的相对位置和相对运动关系等效转换至Free-form型机... 为了实现在国产数控螺旋锥齿轮加工机床上采用单刀盘加工直齿锥齿轮,基于空间运动学原理,在保证工件轴线与刀盘轴线相对位置及相对运动关系不变的前提下,将双刀盘铣齿机床中刀盘与工件的相对位置和相对运动关系等效转换至Free-form型机床,得到以时间为自变量的Free-form型机床各数控轴的运动表达式;通过Matlab计算每个加工时刻Free-form型机床运动轴的位置坐标点并编写数控加工程序;基于Vericut仿真软件,建立了Free-form型机床加工环境并对加工过程进行仿真,仿真结果验证了运动转换方法和数控加工程序的正确性;在实际Free-form型机床上进行了铣齿加工实验,利用齿轮测量中心对实验工件的实际齿面相对于理论齿面的齿形误差进行了检测,齿形误差在10.8μm以内;利用滚动检查机对齿轮副的接触区进行检验,实际啮合接触区与TCA结果基本一致。仿真加工和实际切齿加工实验的结果验证了机床加工运动等效转换方法的正确性。 展开更多
关键词 双刀盘铣齿机床 free-form型机床 运动转换 机床调整参数 直齿锥齿轮
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基于空间运动学的传统机床与Free-form型机床运动转换方法的研究 被引量:22
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作者 王小椿 吴联银 +1 位作者 李彬 张艳红 《机械工程学报》 EI CAS CSCD 北大核心 2001年第4期93-98,共6页
从空间运动学的观点来看 ,为保持加工过程中刀具与工件之间的相对位置不变 ,传统机床与Free form型机床的运动转换只需进行 2次矢量旋转即可简单实现。然而现有的CNC系统不可能在加工时对齿面的每一点进行转换 ,因为这满足不了实时性的... 从空间运动学的观点来看 ,为保持加工过程中刀具与工件之间的相对位置不变 ,传统机床与Free form型机床的运动转换只需进行 2次矢量旋转即可简单实现。然而现有的CNC系统不可能在加工时对齿面的每一点进行转换 ,因为这满足不了实时性的要求 ,而且也无必要。因此作者提出了一种简单的方法 ,即只在齿面参考点进行转换 ,通过空间相对运动高阶加速度的分析 ,就可得到Free form机床的所有调整参数 ,文中推导了这种转换方法的精确转化公式。与其他方法相比 ,介绍的方法概念清晰 ,计算量小 ,更加简便而准确。最后给出了计算实例以验证本文方法理论和算法的正确性 ,其TCA分析结果表明 。 展开更多
关键词 free-form型铣齿机 摇台 参数调整 空间运动学 运动转换
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传统机床与Free-Form型机床运动的等效转换 被引量:16
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作者 魏冰阳 任东锋 +1 位作者 方宗德 周彦伟 《机械科学与技术》 CSCD 北大核心 2004年第4期425-428,共4页
给出了基于空间坐标系变换把普通铣齿机调整参数转换成Free form型机床调整参数的原理与方法。在两种机床坐标系下保持刀盘相对工件的运动关系不变 ,通过耦合两种机床下的坐标系使两种机床的运动关系完全等效 ,由此原理推出了普通铣齿机... 给出了基于空间坐标系变换把普通铣齿机调整参数转换成Free form型机床调整参数的原理与方法。在两种机床坐标系下保持刀盘相对工件的运动关系不变 ,通过耦合两种机床下的坐标系使两种机床的运动关系完全等效 ,由此原理推出了普通铣齿机向Free form型机床转换的显式转换公式 ,该公式适用于任意一种传统的加工方法和机床。最后通过实例 ,利用TCA进行了分析验证。本文提出的转换方法概念清晰 ,转换简单 ,不会引起转换误差 ,是一种针对两类机床完全等效的转换方法。 展开更多
关键词 free-form 型铣齿机 调整参数 坐标变换
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刀倾型机床调整参数转化为Free-Form型机床调整参数的原理 被引量:12
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作者 张艳红 吴联银 +1 位作者 魏洪钦 王小椿 《机械科学与技术》 CSCD 北大核心 2000年第5期782-784,共3页
从空间几何角度分析了从刀倾型机床调整参数转化为 Free- Form型机床调整参数的原理 ,提出一种新的仅需要两次矢量旋转的简单的转化方法 ,并推导出了以显式表达的转化公式 ,通过求导 ,可获得 Free- Form型机床各运动轴高次泰勒展开多项... 从空间几何角度分析了从刀倾型机床调整参数转化为 Free- Form型机床调整参数的原理 ,提出一种新的仅需要两次矢量旋转的简单的转化方法 ,并推导出了以显式表达的转化公式 ,通过求导 ,可获得 Free- Form型机床各运动轴高次泰勒展开多项式系数的精确解法。该转化方法原理清晰 ,转换简单 ,其显式表达的转化公式可以满足数控系统实时插补的要求 ,有别于其它的转化方法。 展开更多
关键词 刀倾型机床 调整参数 free-form型铣齿机
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Free-Form机床展成延伸外摆线锥齿轮的齿面几何研究 被引量:2
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作者 吴联银 魏洪钦 王小椿 《西安交通大学学报》 EI CAS CSCD 北大核心 2001年第3期322-325,共4页
为了解决直接求解展成法加工中存在的复杂双参数包络问题时的困难 ,提出通过数学变换 ,将此包络问题转化为假想平面产形轮与工件之间的展成问题来进行研究 .推导了假想产形面的方程和各阶偏导矢 ,于是可获得产形面的微分几何参数 .通过... 为了解决直接求解展成法加工中存在的复杂双参数包络问题时的困难 ,提出通过数学变换 ,将此包络问题转化为假想平面产形轮与工件之间的展成问题来进行研究 .推导了假想产形面的方程和各阶偏导矢 ,于是可获得产形面的微分几何参数 .通过分析假想平面产形轮与工件之间的展成运动 ,即可得到被展成齿面上任意指定点的全部一至三阶微分几何参数 . 展开更多
关键词 延伸外摆线锥齿轮 free-form型铣齿机 展成法 假想平面产形轮 齿面方程 齿轮加工
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基于优化算法的Free-form型机床各轴运动方程及其对齿面误差的影响 被引量:1
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作者 唐进元 王智泉 李友元 《国防科技大学学报》 EI CAS CSCD 北大核心 2011年第5期64-68,共5页
以No.116铣齿机为例,通过推导传统摇台型机床、Free-form型机床中的坐标变换矩阵,根据运动等效转换的原则,应用最小二乘优化原理,用多项式拟合出Free-form型机床各轴的运动方程。通过算例分析,传统摇台型机床与Free-form型机床中的坐标... 以No.116铣齿机为例,通过推导传统摇台型机床、Free-form型机床中的坐标变换矩阵,根据运动等效转换的原则,应用最小二乘优化原理,用多项式拟合出Free-form型机床各轴的运动方程。通过算例分析,传统摇台型机床与Free-form型机床中的坐标变换矩阵高度吻合,用各轴运动方程在CATIA软件中虚拟加工出的螺旋锥齿轮齿面与理论齿面上的点的距离在0.009mm以内,且该值可控制在0.00001mm以内,验证了该转换方法的正确性。在此基础上,分析了Free-form型机床各轴运动误差对齿面误差的影响,发现B轴为对齿面影响最大的轴,为提高Free-form型机床的制造精度提供了部分理论依据。 展开更多
关键词 螺旋锥齿轮 优化算法 传统摇台型机床 free-form型机床 各轴运动方程 齿面误差
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摇台磨齿机与Free-form型数控磨齿机加工调整参数转换的运动分析法 被引量:1
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作者 周凯红 唐进元 严宏志 《中国机械工程》 EI CAS CSCD 北大核心 2009年第11期1265-1269,共5页
基于保持加工过程中刀具与工件之间的相对运动和相对位置不变的原则,论述用Free—form型数控磨齿机等效替代刀倾型摇台磨齿机展成螺旋锥齿轮的方法。通过分析加工参考点处刀具与轮坯相对运动的高阶加速度,推导了显式表达的两类机床加工... 基于保持加工过程中刀具与工件之间的相对运动和相对位置不变的原则,论述用Free—form型数控磨齿机等效替代刀倾型摇台磨齿机展成螺旋锥齿轮的方法。通过分析加工参考点处刀具与轮坯相对运动的高阶加速度,推导了显式表达的两类机床加工参数的转换公式。通过对一个实例的计算及两类机床所展成齿面的接触分析结果的比较,证明所提出的计算公式精确高效,能满足数控机床实时控制的要求。 展开更多
关键词 准双曲面齿轮 齿面接触分析 机床调整参数 free-form型磨削机床
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摇台磨齿机与Free-form型数控磨齿机加工调整参数的转换方法 被引量:1
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作者 周凯红 唐进元 曾韬 《制造技术与机床》 CSCD 北大核心 2008年第9期100-103,共4页
现有的Free-form型螺旋锥齿轮磨齿机的CNC系统不可能在加工齿面每一点时完全转换传统摇台螺旋锥齿轮磨齿机的展成运动,因为这满足不了实时性的要求,而且也无必要。因此作者提出了一种只在齿面参考点进行两次矢量旋转的简单的转化方法,... 现有的Free-form型螺旋锥齿轮磨齿机的CNC系统不可能在加工齿面每一点时完全转换传统摇台螺旋锥齿轮磨齿机的展成运动,因为这满足不了实时性的要求,而且也无必要。因此作者提出了一种只在齿面参考点进行两次矢量旋转的简单的转化方法,并推导出了以显式表达Free-form型机床加工调整参数的精确计算公式。与其他方法相比,介绍的方法概念清晰,计算量小,更加简便而准确并可以满足数控系统实时插补的要求。 展开更多
关键词 free-form型磨齿机 刀倾型机床 调整参数
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Free-form型机床的切齿优化(一)——优化模型的建立
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作者 张艳红 郭九生 王小椿 《机械传动》 CSCD 2002年第1期28-30,共3页
分析了Free -from型机床的参数形式 ,并建立了优化的数学模型。该模型在原来二阶预控 ,三阶优化的基础上又进一步对 4阶参数进行优化 ,啮合性能进一步提高。利用参数线投影法 。
关键词 free-form型机床 切齿优化 优化模型 参数线投影法 齿轮加工
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Free-form型机床切齿优化(二)——混合进化遗传算法
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作者 张艳红 郭九生 王小椿 《机械传动》 CSCD 2002年第2期26-28,共3页
针对Free -form型机床优化目标函数多维及非线性的特性 ,提出了一种混合进化遗传算法。该方法把遗传算法的全局搜索能力与参数线投影法的局部搜索能力结合起来。并在十进制为基因串的编码基础上 ,对遗传算子做了改进 ,使计算量减少 ,目... 针对Free -form型机床优化目标函数多维及非线性的特性 ,提出了一种混合进化遗传算法。该方法把遗传算法的全局搜索能力与参数线投影法的局部搜索能力结合起来。并在十进制为基因串的编码基础上 ,对遗传算子做了改进 ,使计算量减少 ,目标直观 ,优化性能显著提高。最后的例子也鲜明地表示出该优化方法的先进性。 展开更多
关键词 free-form型机床 混合进化遗传算法 优化 切齿
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An investigation on adaptively machining the leading and tailing edges of an SPF/DB titanium hollow blade using free-form deformation 被引量:11
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作者 Zhengcai ZHAO Jiuhua XU +1 位作者 Yucan FU Zhiqiang LI 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2018年第1期178-186,共9页
Titanium hollow blades are characterized with lightweight and high structural strength, which are widely used in advanced aircraft engines nowadays. Superplastic forming/diffusion bonding (SPF/DB) combined with nume... Titanium hollow blades are characterized with lightweight and high structural strength, which are widely used in advanced aircraft engines nowadays. Superplastic forming/diffusion bonding (SPF/DB) combined with numerical control (NC) milling is a major solution for manufacturing titanium hollow blades. Due to the shape deviation caused by multiple heat and pressure cycles in the SPF/DB process, it is hard to manufacture the leading and tailing edges by the milling process. This paper presents a new adaptive machining approach using free-form deformation to solve this problem. The actual SPF/DB shape of a hollow blade was firstly inspected by an on-machine measurement method. The measured point data were matched to the nominal SPF/DB shape with an improved ICP algorithm afterwards, by which the point-pairs between the measurement points and their corresponding points on the nominal SPF/DB shape were established, and the maximum modification amount of the final nominal shape was constrained. Based on the displacements between the point-pairs, an accurate FFD volume was iteratively calculated. By embedding the final nominal shape in the deformation space, a new final shape of the hollow blade was built. Finally, a series of measurement and machining tests was performed, the results of which validated the feasibility of the proposed adaptive machining approach. 展开更多
关键词 Adaptive machining Blade geometry free-form deformation Reconstruction TITANIUM
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Accurate Evaluation of Free-form Surface Profile Error Based on Quasi Particle Swarm Optimization Algorithm and Surface Subdivision 被引量:13
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作者 WEN Xiulan ZHAO Yibing +2 位作者 WANG Dongxia ZHU Xiaochun XUE Xiaoqiang 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2013年第2期406-413,共8页
Although significant progress has been made in precision machining of free-form surfaces recently, inspection of such surfaces remains a difficult problem. In order to solve the problem that no specific standards for ... Although significant progress has been made in precision machining of free-form surfaces recently, inspection of such surfaces remains a difficult problem. In order to solve the problem that no specific standards for the verification of free-form surface profile are available, the profile parameters of free-form surface are proposed by referring to ISO standards regarding form tolerances and considering its complexity and non-rotational symmetry. Non-uniform rational basis spline(NURBS) for describing free-form surface is formulated. Crucial issues in surface inspection and profile error verification are localization between the design coordinate system(DCS) and measurement coordinate system(MCS) for searching the closest points on the design model corresponding to measured points. A quasi particle swarm optimization(QPSO) is proposed to search the transformation parameters to implement localization between DCS and MCS. Surface subdivide method which does the searching in a recursively reduced range of the parameters u and v of the NURBS design model is developed to find the closest points. In order to verify the effectiveness of the proposed methods, the design model is generated by NURBS and the measurement data of simulation example are generated by transforming the design model to arbitrary position and orientation, and the parts are machined based on the design model and are measured on CMM. The profile errors of simulation example and actual parts are calculated by the proposed method. The results verify that the evaluation precision of freeform surface profile error by the proposed method is higher 10%-22% than that by CMM software. The proposed method deals with the hard problem that it has a lower precision in profile error evaluation of free-form surface. 展开更多
关键词 profile error evaluation free-form surface quasi particle swarm optimization surface subdivision
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Path,feedrate and trajectory planning for free-form surface machining:A state-of-the-art review 被引量:13
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作者 Yuwen SUN Jinjie JIA +2 位作者 Jinting XU Mansen CHEN Jinbo NIU 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2022年第8期12-29,共18页
Nowadays,free-form surfaces have been widely used in various industrial fields.They are usually machined by CNC machine tools,but recently have also begun to be manufactured by industrial robotic arm manipulators,than... Nowadays,free-form surfaces have been widely used in various industrial fields.They are usually machined by CNC machine tools,but recently have also begun to be manufactured by industrial robotic arm manipulators,thanks to low cost,large operation reaching space and high machining flexibility of robot.So far,various methodologies have been proposed to improve efficiency and quality of free-form surface machining,thus this paper aims at providing a state-ofthe-art review on research advances in free-form surface machining.In this review,tool path generation,feedrate scheduling in Cartesian space and trajectory planning in joint space are focused for both CNC machining and robot machining,and their research statues,existing difficulties and key issues are discussed in detail.Finally,the feasible routes,breakthrough points and future development trend are also expounded. 展开更多
关键词 CNC machining Feedrate free-form surface Robotic machining Tool path TRAJECTORY
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An automatic grid generation approach over free-form surface for architectural design 被引量:11
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作者 苏亮 祝顺来 +1 位作者 肖南 高博青 《Journal of Central South University》 SCIE EI CAS 2014年第6期2444-2453,共10页
An essential step for the realization of free-form surface structures is to create an efficient structural gird that satisfies not only the architectural aesthetics,but also the structural performance.Employing the ma... An essential step for the realization of free-form surface structures is to create an efficient structural gird that satisfies not only the architectural aesthetics,but also the structural performance.Employing the main stress trajectories as the representation of force flows on a free-form surface,an automatic grid generation approach is proposed for the architectural design.The algorithm automatically plots the main stress trajectories on a 3D free-form surface,and adopts a modified advancing front meshing technique to generate the structural grid.Based on the proposed algorithm,an automatic grid generator named "St-Surmesh" is developed for the practical architectural design of free-form surface structure.The surface geometry of one of the Sun Valleys in Expo Axis for the Expo Shanghai 2010 is selected as a numerical example for validating the proposed approach.Comparative studies are performed to demonstrate how different structural grids affect the design of a free-form surface structure. 展开更多
关键词 grid generation free-form surface structure architectural geometry stress trajectory advancing front meshing technique
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Parametric design of a part with free-form surfaces 被引量:3
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作者 KIM Yeoung-il KIM Li-ra JUN Cha-soo 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2006年第9期1530-1534,共5页
3D solid models for parts with regular-form surfaces (PRFSs) are effectively generated using traditional parametric design techniques. A new model is obtained by changing some parameters defining the model. The parts ... 3D solid models for parts with regular-form surfaces (PRFSs) are effectively generated using traditional parametric design techniques. A new model is obtained by changing some parameters defining the model. The parts with free-form surfaces (PFFSs), however, cannot be defined by several parameters. Usually they are defined by some geometric elements like profile curves. The traditional parametric design approaches have not easily dealt with the PFFSs. A method for generating a solid model and an engineering drawing for PFFSs is proposed in this paper: First, the new profiles are generated from input point data. Second, the profile information is extracted from the existing model. Last, the old profiles are replaced with the new profiles. This method can preserve the associative information of the existing model and automatically generate the drawing including views, dimen- sions, and annotations. The proposed method has been implemented using a commercial CAD/CAM system, Unigraphics, and API functions written in C-language, and were applied to the blades of a turbine generator. Some illustrative examples are pro- vided in order to show the effectiveness of the proposed method. 展开更多
关键词 Parametric modelling free-form surface Solid model DRAWING
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Study of the Contact Force in Free-form Surfaces Compliant EDM Polishing by Robot 被引量:2
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作者 ZHAN Jian-ming 1, ZHAO Ji 2, XU Shu-xin 1, ZHU Pei-xi ng 1 (1. College of Mechanical Science and Engineering, Jilin University, Changchun 130022, China 2. Office of Education Administration, Jilin University, Changchun 130012, Chin a) 《厦门大学学报(自然科学版)》 CAS CSCD 北大核心 2002年第S1期69-,共1页
With an elastic negative pole being driven by ultra so nic vibration and being moved along the surface of work-piece compliantly by ro bot, a new kind of effective EDM, the compliant EDM, cuts the electrically condu c... With an elastic negative pole being driven by ultra so nic vibration and being moved along the surface of work-piece compliantly by ro bot, a new kind of effective EDM, the compliant EDM, cuts the electrically condu ctive materials away and polishes work-piece of free-form surface. The study o f the contact force between the end of polishing tool and the surface of work-p iece is the key for the compliant EDM to study its cutting mechanism and to make better use of it. This paper makes a model for the contact force and verifies i t by experiments and simulation based on the theory of elastic body kinetics and dynamic stress concentration. The research work shows that this contact force i s caused by both the electrical impulsion of EDM and the mechanical force of ult rasonic vibration, the discharge frequency of compliant EDM has a much more clos er connection with the vibration frequency of polishing tool rather than the fre quency of ultrasonic vibration. 展开更多
关键词 ROBOT compliant EDM polishing free-form surfac es contract force
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ADAPTIVE MEASUREMENT METHOD BASED ON CHANGING-CURVATURE FOR UNKNOWN FREE-FORM SURFACE 被引量:1
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作者 WuShixiong WangWen ChenZichen 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2004年第3期385-388,共4页
Current measurement method for unknown free-form surface has low efficiency.To acquire given precision, a lot of null points are measured. Based on change surface curvature, anew measurement planning is put forward. S... Current measurement method for unknown free-form surface has low efficiency.To acquire given precision, a lot of null points are measured. Based on change surface curvature, anew measurement planning is put forward. Sample step is evaluated from the change curvature and thelocally-bounded character of extrapolating curve. Two coefficients, maximum error coefficient andlocal camber coefficient, are used to optimize sampling step. The first coefficient is computed toavoid sampling-point exceeding the measurement range and the second control sampling precision.Compared with the other methods, the proposed planning method can reduce the number of themeasuring-point efficiently for the given precision. Measuring point distributes adaptively by thechange surface curvature. The method can be applied to improve measurement efficiency and accuracy. 展开更多
关键词 free-form surface Adaptive sampling CURVATURE
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NEW VISUAL METHOD FOR FREE-FORM SURFACE RECONSTRUCTION 被引量:1
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作者 Xiong Hanwei Artificial Intelligence Institute,Zhejiang University,Hangzhou 310027,China Zhang Xiangwei Guangdong University of Technology 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2002年第1期35-39,共5页
A new method is put forward combining computer vision with computer aidedgeometric design (CAGD) to resolve the problem of free-form surface reconstruction. The surface isfirst subdivided into N-sided Gregory patches,... A new method is put forward combining computer vision with computer aidedgeometric design (CAGD) to resolve the problem of free-form surface reconstruction. The surface isfirst subdivided into N-sided Gregory patches, and a stereo algorithm is used to reconstruct theboundary curves. Then, the cross boundary tangent vectors are computed through reflectance analysis.At last, the whole surface can be reconstructed jointing these patches with G^1 continuity(tangentcontinuity). Examples on synthetic images are given. 展开更多
关键词 Reverse engineering free-form surface design Computer vision
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Integrated passage design based on extended free-form deformation and adjoint optimization 被引量:1
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作者 Xin LI Tongtong MENG +2 位作者 Weiwei Li Ling ZHOU Lucheng JI 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2023年第4期148-164,共17页
Inspired by the three-dimensional design of flow passages in turbomachinery,this study proposes the concept of integrated passage design.The capability of adjoint method for efficient optimization and the flexibility ... Inspired by the three-dimensional design of flow passages in turbomachinery,this study proposes the concept of integrated passage design.The capability of adjoint method for efficient optimization and the flexibility of the parameterization method based on extended free-form defor-mation have been considered to develop a feasible approach to design an integrated passage.This concept was applied to redesign a typical transonic fan,Rotor 67,and the results were analyzed by CFX.It is shown that the passage was adequately adjusted in all three dimensions and reduced the strength of shock wave and wake-induced flow.In particular,the secondary flow was appropriately reorganized and the corner separation was well controlled in the end wall region,leading to signif-icant improvements in adiabatic efficiency and diffusion. 展开更多
关键词 TURBOMACHINERY Aerodynamic Transonic flow Integrated passage design Extended free-form defor-mation Adjoint optimization
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Multi-modality liver image registration based on multilevel B-splines free-form deformation and L-BFGS optimal algorithm 被引量:1
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作者 宋红 李佳佳 +1 位作者 王树良 马婧婷 《Journal of Central South University》 SCIE EI CAS 2014年第1期287-292,共6页
A new coarse-to-fine strategy was proposed for nonrigid registration of computed tomography(CT) and magnetic resonance(MR) images of a liver.This hierarchical framework consisted of an affine transformation and a B-sp... A new coarse-to-fine strategy was proposed for nonrigid registration of computed tomography(CT) and magnetic resonance(MR) images of a liver.This hierarchical framework consisted of an affine transformation and a B-splines free-form deformation(FFD).The affine transformation performed a rough registration targeting the mismatch between the CT and MR images.The B-splines FFD transformation performed a finer registration by correcting local motion deformation.In the registration algorithm,the normalized mutual information(NMI) was used as similarity measure,and the limited memory Broyden-Fletcher- Goldfarb-Shannon(L-BFGS) optimization method was applied for optimization process.The algorithm was applied to the fully automated registration of liver CT and MR images in three subjects.The results demonstrate that the proposed method not only significantly improves the registration accuracy but also reduces the running time,which is effective and efficient for nonrigid registration. 展开更多
关键词 multi-modal image registration affine transformation B-splines free-form deformation (FFD) L-BFGS
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