中文摘要：

将分数阶微分理论引入图像放大模型中,利用全变分思想,提出了基于分数阶偏微分方程的图像放大模型.仿真实验结果表明：新模型能较好地保持图像边缘特征,以及更多的图像纹理信息,优于整数阶微分方程放大算法,是一种有效、可行的图像放大模型.

英文摘要：

A new image zooming model based on the fractional‐order partial differential equation is proposed ,which adopts the idea of total variation .Simulation results show that the new model is capable of preserving the character‐istics of image edge ,and it can retain more texture details than the integer order partial differential equation model . The model is therefore effective and practical for image zooming .