【摘要】 在形状调配过程中,中间过渡曲线的参数连续性往往是不能保证的。首先给出Bézier-like曲线的定义,然后从连续性的角度出发,利用Bézier-like曲线的性质,研究形状调配中曲线的几何连续特征保持问题。讨论了线性混合过程中一、二阶几何连续保持条件及相应解决办法,从而得出一般Bézier-like曲线在形状调配中参数连续的保持方法,此方法适用于计算机动画和工业造型设计。更多还原

【Abstract】 In shape blending process,the parametric continuity of blending curves is not always preserved.In this paper,based on a symmetric opinion,first the Bézier-like curve is defined,and the geometric continuity preserving problems of blending curves are investigated by using the boundary properties of the Bézier-like curve.Especially,in the linear blending process,the maintenance conditions of the first order and the second order geometric continuities are derived,and several solutions are discussed.Then one and two order balance geometric continuity conditions and their relative parametric preserving algorithm are given.The algorithms can be used in computer animation and industrial design.更多还原