基于变分原理的亚像素级立体匹配方法

Sub-pixel stereo matching method based on variational principle

针对小基高比立体匹配当中的亚像素级视差精度和匹配效率较低问题,提出一种基于变分原理的亚像素级立体匹配方法。该方法以规范互相关函数作为能量函数的数据项,并将图像驱动的平滑项和视差驱动的平滑项相结合作为能量函数的平滑项,然后通过变分原理获得能量函数的欧拉方程,最后通过连续过松弛法进行迭代求解获得亚像素级视差。实验结果表明,提出的亚像素级匹配方法不但可以获得较高精度的亚像素级视差,得到更为精确的高程信息,而且还具有较快的匹配速度。

This paper presented a sub-pixe｜ stereo matching method based on variational principle to improve the accuracy of sub-pixel disparity and the matching efficiency in small baseline stereo matching. First of all, it used the cross-correlation function as the data term of energy function and used the combination of image-driven smoothness term and disparity-driven smoothness term as the smoothness term of energy function. Then, it derived the Euler equation of energy function according to variational principle. Finally, it solved the Euler equation of the energy function to obtain sub-pixel disparities with successive over-relaxation iteration method. The experimental results show that the proposed method not only obtains highly accurate sub- Dixel disparities and DEM, but also has a faster matching speed.