曲面光顺实例表明，用该方法计算细分曲面能量高效可行。
The example of surface fairing demonstrates that this method is efficient and successful for evaluating the energy of subdivision surfaces.
在这一基础上，利用曲面光顺的网格能量法，给出了计算网格顶点的优化模型。
Based on it, an optimization model is presented by fairing of the mesh.
介绍曲线、曲面光顺的概念及条件，重点论述解决曲线、曲面光顺问题的方法。
This paper introduces the concept and condition of smoothing curved lines and curved surfaces and discusses specifically the methods of smoothing the curved line sand curved surfaces.
给出了曲线曲面光顺的准则和方法，并着重探讨了最小能量法数学模型的建立及其应用。
The rules and methods for curve and surface smooth fitting are given. Especially we study for the mathematics model and application with the minimum energy method.
重构曲面的品质分析和优化技术在逆向工程中占有重要的地位，是重构曲面光顺质量的重要保证。
The surface reconstructed Quality analyzing and optimizing technique is an important step to improve fairness of reconstructed surface.
然后提出型面修改的SGD算法并采用该算法能得到曲面光顺，可以直接用于NC加工的回弹补偿型面。
Secondly, panel surface after springback compensation can be achieved by SGD algorithm the surface is smooth and can be used to NC machining.
使用能量法作为起落架过渡曲面光顺处理方法，其基本思想是使曲面的整体能量在一定的约束条件下达到最小。
We use the energy method to deal with the smoothing of undercarriage transition surface. The basic idea is to make the whole energy of the surface least under some restrictions.
通过对某汽车车身腰线处的过渡曲面光顺，给出了复杂过渡曲面的光顺方法，并阐述了基本曲面理论交线的重要作用。
The smoothing methods for complex transitional curved surfaces are given by smoothing waist surfaces for an auto-body, then the theoretical curves are emphasized in transitional surfaces smoothing.
介绍了汽车覆盖件逆向工程中的若干关键技术，诸如，三座标测量技术、曲面拟合技术、曲面重构技术、曲面光顺、曲面片的拼接等技术。
This paper introduces some key technologies in reverse engineering of automobile covering panel. such as, CMM, fitting of surface, reconstructing of surface, smoothing of surface etc.
在对汽车车身造型设计中常用的几种曲线、曲面光顺算法研究的基础上，提出一种能量优化的计算方法，并将这一算法推广到NURBS中。
Based on researching several arithmetics of fairing curve and surface in automobile body shape-designing. We afford a Energy optimization method which can be extended to the NURBS.
在对汽车车身造型设计中常用的几种曲线、曲面光顺算法研究的基础上，提出一种能量优化的计算方法，并将这一算法推广到NURBS中。
Based on researching several arithmetics of fairing curve and surface in automobile body shape-designing. We afford a Energy optimization method which can be extended to the NURBS.
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