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  本文关键词：NURBS曲面数控加工刀具可行方向计算研究，由笔耕文化传播整理发布。

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nurbs曲面

    Study On NURBS Surface Direct Interpolation Algorithm for a New Type Parallel Machine Tool

    面向新型并联机床的NURBS曲面直接插补算法研究

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    Research on NURBS Surface Modeling and Machining System

    NURBS曲面造型与数控加工

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    Study on NURBS Surface Modeling and NC Machining Technique of Scattered Data

    散乱数据的NURBS曲面建模与数控加工技术研究

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    Research on Feasible Tool Orientation Computation for NC Machining of NURBS Surface

    NURBS曲面数控加工刀具可行方向计算研究

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    Aimed at the high precision and high efficiency, on the base of a systematic analysis about the forms and characteristics of interference that exit in five-axis complex NURBS surface machining, a partition based interference-free strategy was put forward to obtain the cutter location points from the cutter contact points.

    从高精度、高效率的目标出发,通过系统地分析复杂NURBS曲面的五轴数控加工过程中可能发生的各种刀具干涉形式及特征,本文提出了基于曲面离散的“无局部干涉刀轴定位→全局干涉检测→无干涉刀轴定位”干涉避免策略。 该策略为刀具路径的高精度、高效率规划提供了保证。

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    Interpolation Method of NURBS Curved Surface for STEP-NC Control System

    STEP-NC数控系统的NURBS曲面插补方法

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    Through the data were preprocessed by PolyWorks to analogically synthesize NURBS curved surface which formed net model to simplify and repair its triangular model.

    通过PolyWorks对数据预处理并拟和成NURBS曲面、网格模型生成后再简化和修补其三角模型。

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    According to the requirement in developing new generation of STEP-NC control system, the interpolation control method of NURBS curved surface for this new kind of numerical control system was researched. The algorithms for surface information processing, machining path planning and real time locus interpolation involved in this method have been worked out from the research results.

    针对发展新一代STEP-NC数控系统的需求,对适合这类新型数控系统的NURBS曲面插补控制方法进行了研究,给出了该方法涉及的曲面信息处理、加工路径规划和实时轨迹插补算法。

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    This paper presents a method of the control points inverse calculation of NURBS surface -, surface design and modify which is feasible, and melt it into the UG system. Those modules can remarkably advance the function of surface design in reverse engineering and efficiency of surface modify.

    本文提出的NURBS曲面控制点反算方法、曲面设计和调整方法是可行的，并将其融入了UG系统，可显著增强反求工程中曲面设计的功能，提高曲面调整的效率，可以广泛应用于各类具有自由曲面外形的产品设计。

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    It also promotes an algorithm of modifying the boundary data of linear data set so as to perfect the result of surface reconstruction.

    针对NURBS曲面重构方法对边界数据敏感的这一缺点，提出并实现了有序数据边界点的修改算法；

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    At the end of this paper it gives several examples of surface reconstruction.

    最后给出了NURBS曲面反求原型系统的几个应用实例。

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    A NURBS curve and surface reconstruction software based on MicrosoftWindows is developed.

    通过对 NURBS 曲线曲面重构的基本算法的研究，利用可视化技术的优势，采用面向对象技术，结合数据库操作，开发了一个基于微机 Microsoft Windows 系统的 NURBS 曲面重构的软件NURBSsuf 系统。

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    From the viewpoint of engineering application, a algorithm of tool path generation for freeform surface based on parameter curves is presented.

    从工程实际应用出发 ,提出了一种适合裁剪NURBS曲面加工基于参数线的刀轨生成算法。

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  nurbs surface

Analysis of antenna around nurbs surface with iterative MoM-PO technique

For more general applications, we show that voxelisation of a NURBS surface can be realised by first converting it into a piecewise rational Bézier surface and then voxelising each of the rational Bézier surfaces.

A PMNS algorithm for contact-impact of NURBS surface objects and dynamic simulation

A New Parameterisation Method for NURBS Surface Interpolation

The model is a combination of two functions: a displacement function and a function for representing an existing NURBS surface called a parent surface.

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n this paper,a new method is presented for planning the motion of a mobile robot moving on general terrains.The terrains are represented by NURBS surfaces and the terrains with obstacles or collisional regions are represented by Trimmed NURBS surfaces. The concept of a geodesic and its computation method, as well as A* search algorithm are used to obtain the path of shortest distance and time optimal path between given any two given points on general terrains.It considers robot vehicle dynamics,terrain topography...

n this paper,a new method is presented for planning the motion of a mobile robot moving on general terrains.The terrains are represented by NURBS surfaces and the terrains with obstacles or collisional regions are represented by Trimmed NURBS surfaces. The concept of a geodesic and its computation method, as well as A* search algorithm are used to obtain the path of shortest distance and time optimal path between given any two given points on general terrains.It considers robot vehicle dynamics,terrain topography and surface features.The paths are represented by NURBS curves.The adaptability and efficiency of this method are shown by experimental results.

本文给出了一种规划移动机器人在自然地形中运动的新方法，该方法利用ＮＵＲＢＳ曲面模拟自然地形地貌，以ＴｒｉｍｍｅｄＮＵＲＢＳ曲面描述带有障碍物或不可逾越区域的地形，在综合考虑机器人动力学、地形及障碍描述和曲面特性等各方面因素的情形下，运用测地线的概念和计算方法以及Ａ＊搜索算法，获得了在自然地形环境下任意两点间的距离最短路径和时间最优路径，，所有的路径均由ＮＵＲＢＳ曲线表示，实验结果表明，该方法在性能与效率上均十分令人满意．

On the basis of the first order derivative equation of B Spline presented by the BOOL, this paper explored the normal unit vector non uniform non rational B Spline surface and NURBS surface.The calculation paradigm have also been presented. This work has established the foundation for the design of NC systems and the simulation of the relative movement of cutting tool to workpiece.

从Ｂ样条曲线一阶导数公式出发，推导了非均匀Ｂ样条曲面、ＮＵＲＢＳ曲面单位法矢量的计算公式，并进行了实例验证，为复杂自由曲面数控加工系统设计以及刀具与工件相对运动轨迹的模拟奠定了基础。

The paper presents a neural network approach to the reconstruction of freeform surfaces for reverse engineering. To evaluate the effectiveness of the approach, a mathematically known surface, a nonuniform B-spline surface, was used for generating a number of samples for training the networks. The trained networks then generated a number of new points which were compared with the calculated points using the known surface equations. The networks structure and modified BP algorithm were also discussed. The results...

The paper presents a neural network approach to the reconstruction of freeform surfaces for reverse engineering. To evaluate the effectiveness of the approach, a mathematically known surface, a nonuniform B-spline surface, was used for generating a number of samples for training the networks. The trained networks then generated a number of new points which were compared with the calculated points using the known surface equations. The networks structure and modified BP algorithm were also discussed. The results show that the approach can be used to reconstruct computer representations of the existing surfaces and to manufacture them. An example is included to illustrate the approach.

提出一种神经网络方法，用于逆工程中自由曲面的重建。讨论了网络结构、修改的ＢＰ学习算法，并给出了网络重建一个ＮＵＲＢＳ曲面的精度。结果表明该方法可以用来重建已有曲面的数学模型，进而用于加工这些曲面。

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  本文关键词：NURBS曲面数控加工刀具可行方向计算研究，由笔耕文化传播整理发布。