Fairing Implicit Surface Depended On "Blending Of Two Quadratic Surfaces

The requirements of Computer Graphics are expected in the computer-aided design, one of them is fairing surface. Therefore, the problem of fairing surface becomes very important in CAD/CAM.Fairness included in engineering is different from smoothness in mathematics. It is one of the requirements of product's form in the computer-aided design of aircraft, automobile, watercraft and household appliances, etc. However, most of methods adopted in the fairness are the methods applying on parameter surface. The method in this paper can well meet the requirements of implicit surface.First, "Blending of Two Quadratic Surfaces" researched by School of Mathematics, Jilin University is introduced.Second, a new definition of fairness is put forward. It can satisfy wants of fairing surface accompanied by better algorithm, less calculation and easier realization.Third, a new algorithm depended on "Blending of Two Quadratic Surfaces" is constructed. When blending surfaces, fairness can be met by finding new clipping planes and blending again. This is the main content in this paper.Finally, summarization and expectation are made. There are some weakness hi this paper. And more should be done.