An improved fractional adaptive PDE denoising algorithm based on the ROF model and the fourth-order PDE denois-ing model is presented. A selection function of the fractional PDE's order is proposed. The selection function adopts adaptive order at different pixels of the image. In addition, an adaptive iterative algorithm of the scale parameter is put forward. Numerical experiments show that the novel algorithm can increase the PSNR, preserve edges and restrain the "step effect" effectively.%结合ROF模型和四阶PDE去噪模型提出一种改进的分数阶自适应PDE去噪算法.改进算法根据各个像素点的梯度信息自适应地选择分数阶PDE的阶数,根据尺度参数的特点,提出一种自适应的尺度参数迭代算法.数值实验表明,改进算法能够较好地提高峰值信噪比,保护边缘,有效抑制“阶梯效应”.
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