基于曲率保持PDE的非线性结构张量

Curvature preserving PDE-based nonlinear structure tensor

提出了一种基于曲率保持扩散方程的非线性结构张量计算方法。在讨论了非线性结构张量算法必须满足3个条件的基础上,指出了基于散度的非线性结构张量与基于迹的非线性结构张量在提取图像二维结构信息时的不足;将曲率保持正则化方法用于平滑结构张量,使得新的非线性结构张量具有更好的结构估计能力。实验结果表明:该文方法对噪声图像仍能取得较好地局部结构估计结果。

A new curvature-preserving diffusion based nonlinear structure tensor calculation method is proposed.At first,three requirements of nonlinear structure tensor algorithms are presented,based on which the defects of the divergence-based nonlinear structure tensor and the trace-based nonlinear structure tensor,in corner information extraction,are pointed out.After that,this paper smoothes the structure tensor with an extended curvature-preserving PDE method and gets the new nonlinear structure tensor,which is capable of structure estimation.Experimental results show that the method can produce better local structure estimation results.