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首页> 外文会议>International Conference on e-Manufacturing: An Emerging Need for 21st Century World Class Enterprises; 20021117-20021119; Bhopal; IN >e-Manufacturing and Design Using Bezier and B-Spline Models
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e-Manufacturing and Design Using Bezier and B-Spline Models

机译：使用Bezier和B样条模型的电子制造和设计

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摘要

Curves and Surfaces play an important role in the engineering, design and e-manufacturing of a diverse range of products, e.g., automobiles, ship hulls, aircraft wings, propeller blades, turbine, compressor, fan blades, shoes, bottles, buildings etc.. Prior to the development of mathematical and computer models to support engineering, design and manufacturing, descriptive geometry was used. The traditional way of representing a surface is to use multiple orthogonal projections. In effect, the surface is defined by a net or mesh of orthogonal plane curves lying in plane sections plus multiple orthogonal projections of certain three dimensional feature lines. The curves may originally be designed on paper or they may be digitized from a three Dimensional model, e.g., the clay stylist's model traditionally used in automotive industry. Many of these geometric design techniques have been carried over into computer aided geometric design. In computer aided design it is advantageous to develop a true three-dimensional mathematical model of a surface. Such a model allows early and relatively easy analysis of surface characteristics, e.g., curvature, or of physical quantities that depend on the surface, e.g., volume, surface area, moment of inertia, etc.. Further generation of the necessary information required to fabricate the surface, e.g., numerical control codes, is also considerably simplified as compared to the traditional net of lines approach. In this paper we discussed two types of models namely Bezier and B-spline curves and surfaces, an attempt is made to review the strategy for generating mathematical and computer models of curves and surfaces.
机译：曲面和曲面在各种产品的工程，设计和电子制造中起着重要作用，例如汽车，船体，飞机机翼，螺旋桨叶片，涡轮，压缩机，风扇叶片，鞋子，瓶子，建筑物等。在开发数学和计算机模型以支持工程，设计和制造之前，使用了描述性几何。表示表面的传统方式是使用多个正交投影。实际上，该表面由位于平面截面中的正交平面曲线的网或网格以及某些三维特征线的多个正交投影定义。曲线可以最初设计在纸上，也可以从三维模型（例如，汽车行业传统上使用的陶土造型师模型）进行数字化处理。这些几何设计技术中的许多已被带入计算机辅助几何设计中。在计算机辅助设计中，开发表面的真实三维数学模型是有利的。这种模型允许对曲面特征（例如曲率）或取决于表面的物理量（例如体积，表面积，惯性矩等）进行早期且相对容易的分析。进一步生成制造所需的必要信息与传统的线网方法相比，表面（例如数控代码）也大大简化了。在本文中，我们讨论了两种类型的模型，即Bezier和B样条曲线和曲面，试图回顾生成曲线和曲面的数学模型和计算机模型的策略。

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