Modeling Research on Quartic Rational B é zier Curve and Surface 四次有理Bézier曲线曲面造型的研究
This paper proposes a piecewise geometric approach to parametrize a kind of quartic implicit algebraic surface. 提出了一种隐式曲面之间的求交方法,主要用于道路施工机械复杂曲面的求交计算。
The systematic error of the measurement is figured out through the calibration procession and the optical aberration is fitted by the quartic surface. 测量装置的系统误差可以通过标定过程得到,而且像场畸变可以通过四次曲面拟和来进行修正。
While the center changing spherical method may be employed in solving the intersecting lines of quadratic surface of non revolution and annular torus ( quartic surface), the conventional method is incompetent in determining the center of the center changing sphere. 对于二次非回转曲面体与圆环(四次曲面体)的相贯线求解,可以采用变心球面法,但用常规方法无法求出变心球的球心。
Reducing the continuity of quartic spline interpolation surface to C2 can provide an additional degree of freedom, which can improve the interpolation accuracy and control the shape of the surface. 使四次样条函数为C2连续可提供额外的自由度,用于提高曲面的插值精度和控制曲面的形状。
Since the two shortcomings of quartic spline function, its important applications have been ignored. And it is generally agreed that the even spline curves and surfaces are not suitable for curve and surface interpolation problem. 四次样条函数由于本身的两个缺点而被人们忽视了其重要的应用价值,人们普遍认为偶数次样条曲线曲面不适合曲线曲面插值问题。