Four-order partial differential equation image denoising method based on mathematical morphology

The invention discloses a four-order partial differential equation image denoising method based on mathematical morphology. The method comprises the following steps: S1) adopting a mathematical morphology method for detecting a noise image edge; S2) calculating a gradient magnitude of the noise image; S3) establishing a partial differential equation according to the gradient operator of the mathematical morphology in S1) and the gradient magnitude in S2); S4) adopting an iteration method for solving the differential equation and acquiring a denoised image. According to the invention, image denoising is performed through the four-order partial differential equation based on mathematical morphology, the processed image edge is better kept and the visual effect is better. 本发明公开了种基于数学形态的四阶偏微分方程图像去噪方法，包括以下步骤：S1采用数学形态学的方法对噪声图像边缘进行检测；S2计算噪声图像的梯度幅值；S3根据步骤S1中数学形态学的梯度算子和步骤S2中的梯度幅值建立偏微分方程，S4采用迭代的方法对偏微分方程求解获得去噪声图像。本发明基于数学形态学的四阶偏微分方程进行图像去噪，对处理后的图像边缘保持的更好，具有更好的视觉效果。