基于有理分式插值的散乱数据图像重建方法

Image reconstruction based on interpolation by rational fractions from scattered points

插值方法及插值基函数的选择是可视化技术的一个关键问题。首先根据平面域上分布的散乱灰度图像数据点集 ,划分出突变的数据区域和平坦的数据区域 ,然后基于相邻数据的连续性和图像边缘的非连续性 ,利用Thiele连分式和Newton多项式建立有理插值函数和代数插值函数 ,提出了一种新的散乱点插值和图像重建方法 ,并通过实验证明 。

In this paper, a new method is presented to reconstruct image from scattered points. The source data is first divided into the abrupt data regions and the flat data regions, then rational interpolation functions or algebra interpolation functions are produced based on the adjacent continuous data or the abrupt data. The experimental results show that this algorithm is more convenient in computation and more efficient in image reconstruction.