Browse Publications Technical Papers 2000-05-0258
2000-06-12

Study on PDE approach and its application to surface modeling of autobody 2000-05-0258

At present most of software in styling and design, no matter single or integrate, utilize the spline curve as their basis method of surface creating. And the NURBS technology is applied broadly. However, considering the computing time, system resource, and in order to create high quality surface model quickly, the paper brings out and describes the PDE method and its application to surface modeling.
PDE, that is partial differential equation, is a numerical method to solve boundary question. The paper will discuss the approach and its application in the following aspects: (1) Application type of the PDE in engineering; (2) Method to control surface shape; (3) Definition the boundary conditions; (4) Managing the CO four side face; (5) Managing the C1 four side face (6) Tackling the triangle face; (7) Interface of PDE to NURBS.
The PDE method has many computing techniques, it is easy to write program, and the surface created using this method is smoother than the conventional method. Some examples will be illustrated. Also the computing rate of PDE is fast and timesaving, which will simplify the point-measuring work in reverse engineering.
It is important to find a method combining the PDE and NURBS, and we can create surface of autobody more smoothly and quickly. It is reasonable to prospect this method studying, and it also significant in product design.

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