B样条曲线拟合数据点的一种误差减小的一致参数逼近
An error reduced and uniform parameter approximation in fitting of B-spline curves to data points
摘要：
提出了一种基于三次B样条曲线的三维及高维数据点逼近方法。平面曲线的表示被合并并扩展到更高的维度。曲线拟合到数据点的顺序，或者为点假设统一的参数值。在数据点处假设切线，对应于基数样条中使用的属性，以保持形状和视觉上令人愉悦的拟合。将满足基数样条曲线边界条件的分段连续三次Bezier曲线的控制点用于相应坐标平面上的B样条曲线。近似使用误差计算的最小二乘意义上，基于一小部分的数据点，也提出了。
英文摘要：
Approximating data points in three or higher dimension space based on cubic B-spline curve is presented. Representations for planar curves, are merged and extended to the higher dimension. The curve is fitted to the order of data points, or uniform parameter values are assumed for the points. Tangents are assumed at the data points, corresponding to the property used in cardinal splines, for shape preserving and visually pleasing fit. Control points of piecewise continuous cubic bezier curves, meeting the boundary conditions of cardinal spline segments, are used for b-spline curve in corresponding coordinate planes. Approximation using error computed in the least square sense, based on a fraction of data points, is also presented.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
