样条曲面具有灵活性，概念简单，易于通过操作控制点控制形状，所以对于自由曲面建模十分重要。
Spline surfaces are very important for the modelling of free form surfaces, because of their flexibility, simple concept and easy shape manipulation by the control points.
以生产准备中磨叶片工具的计算为例，使用三维CAD系统的自由曲面建模技术，精确计算出叶片工具设计中所需叶片通道数据。
In computation on blade grounding tool design in technical preparation, accurate blade passage data necessary for tool design has been obtained using free camber modeling technique of 3d CAD.
人体曲面建模与自由变形方法是实现人体数字化的关键技术。
Body modeling and FFD (Free form Deformation) methods are key techniques in the field of body digitalization.
重点对反向工程中自由曲面重构和CAD建模进行了描述和分析。
The function of each model is analyzed and the construction of freedom surface and the CAD model are especially described and analyzed.
本文根据模糊推理技术，提出了一种自由曲面的建模方法，并对其数控加工的插补算法进行了研究。
A method for modeling freeform surface is presented based on fuzzy inference techniques and the interpolation algorithm of numerical control for freeform surface is studied in the paper as well.
介绍了以反求工程为技术支撑的自由曲面数控加工的基本原理和全过程，并对其中的数字化扫描、CAD建模及刀具轨迹生成等关键技术作了进一步的分析。
Basic theory and procedure of NC machining for free-form surface based on reverse engineering were introduced. Digital measure and CAD modeling as well as tool path generating were analyzed.
针对自由曲面重构建模中存在的问题，对曲面数字化及离散点参数优化技术进行了研究。
Based on the existing problems in free-form surface reconstruction, surface digitizing and parametric optimization of random points are probed.
为了应用计算机图形学中高效的3维物体碰撞检查的分离轴理论，对自由曲面进行八叉树建模。
In order to apply the separating axis theory, which is effective in solving 3d object collision problems in computer graphics, an octree is used to approximate the freeform surfaces.
基于自由曲面方程，由矩阵运算得出刃线运动包络面，对球头铣刀加工的表面形貌进行了建模和仿真。
Based on the models and the free-form surface formula, the moving envelope surface of ball-end mill is obtained by means of matrix calculating, the topography is modeled and simulated.
其主要内容包括光源建模、自由曲面反射器的设计和前照灯照明效果模拟三大部分。
Of or relating to light emitted from a point source and reflected or refracted from a curved surface.
对自由曲面重构中存在的问题进行了分析，提出以自动计算特征线为参考，进行交互建模的思路。
This paper presents a interacted-modeling methods, which is based on how to interact with the computer to generate the desired CAD model with referencing the outcome of the automatic algorithm.
针对复杂曲面数据测量及曲面重构的要求，以玩具狗头为例，介绍使用三维激光扫描仪的自由曲面反求过程中产品点数据的处理方法，以及CAD模型的重构技术，分析了反求建模中存在的问题。
The processing methed of data tested by laser scanner and reconstruction technology of CAD model in the reverse process of free-form surface were persented with toy of dog head as example.
针对复杂曲面数据测量及曲面重构的要求，以玩具狗头为例，介绍使用三维激光扫描仪的自由曲面反求过程中产品点数据的处理方法，以及CAD模型的重构技术，分析了反求建模中存在的问题。
The processing methed of data tested by laser scanner and reconstruction technology of CAD model in the reverse process of free-form surface were persented with toy of dog head as example.
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