基于二维三阶多项式拟合的阈值曲面分割法

针对光照不均匀情况，提出了基于二维三阶多项式拟合阈值曲面进行分割的方法。遵循最小均方误差原理，给出了二维三阶拟合的矩阵表达式及详细的程序实现方法。拟合点以人机交互形式，由鼠标点击选出，程序自动记载所选点的图像坐标与灰度值信息，然后拟合出阈值曲面，并以二值图像形式给出分割结果。对一幅光照模型未知的网格图像进行了分割，实验结果良好。

A Segmentation Method Using Threshold Surface Based on Two-dimensional Cubic Fit

With regard to the non-uniform illumination, a segmentation method using threshold surface based on two-dimensional cubic is proposed. According to the principle of minimum mean square error fit, the matrix formulation of two-dimensional cubic is developed and the executing program is elaborated. Fitting points are selected through man-machine interaction, and the program automatically records the corresponding image coordinates as well as gray values. Then the thresh surface is fit and the binary image is given as the segmentation result. As an example, an image with unknown illumination model is segmented and the method works well.