The Fairing Of B-spline Surfaces

CAGD mainly researches the complex way to change the freedom of curves and surfaces, the so-called freedom of curves and surfaces. Many products manufacture prior to the geometric curves and surfaces for the design, and describe its surface shape of the curve or shape often only roughly through the space point out (of value), such as car shell design, hull design Setting out with the aircraft fuselage, wing, the cabin and the design, even a blade, Turret design and appearance, such as footwear, and clothing design, should consider the curve with the surface of the computer processing, and on the surface of the approximation and Renewable, and based on the original for local modification of the methods and results. In practice, the elimination of certain geometric solid modeling substandard characteristics of the people preferred method calls smoothing. Smoothing the surface of handling is an important part of CAGD.B-spline surfaces are commonly used forms design tools. This article focuses on three plane B-spline surfaces of the fairing. B-spline smoothing the main local algorithm can be divided into two major categories and the overall algorithm. In the overall fairness of the use of energy method for smoothing the curves gives a cross-smoothing algorithm, each controlled by the user on the peak rate of disturbance select a specific weight, with energy function, constraint control points of the disturbance, in the shape of restrictions on the basis of objective to achieve fairness. In practical problems, sometimes given the majority of data points is good (fairing), and only a few data points isn't good. If we uses the overall optimization, it will bring a lot of unnecessary cost calculation, and will make some which should not be revised data points have been revised. Thus, in this way on the basis of Kjellander, a applicable to the three B-spline with conditioning control the parameters of smoothing method that is partially fairing, and applied to two-three B-spline surfaces. Basic idea is to make the curve fairing on the basis of the introduction of the control parameter, which controls the Huaidian the distance between its new location, the error in the data that is within the limits of the curve smoothing treatment.