基于角点保护的偏微分方程图像插值方法

图像插值是数字图像处理领域中的一个基本问题，利用插值技术可以实现图像的缩放和图像恢复。传统的插值方法易使边缘产生锯齿效应或使插值结果模糊不清。该文提出一种基于角点保护的偏微分方程插值方法。该方法针对图像中不同的特征进行特定插值，在保持边缘结构清晰的同时，还能保护尖锐的角形结构，有效改善插值后图像的整体视觉效果和峰值信噪比。此外，对方程的主要参数进行分析，提出了相应的参数确定方法，从而提高该方法的适用性。

Image Interpolation with Corner Preserving Based on Partial Differential Equation

Image interpolation is a basic issue in digital image processing, which can be used to realize image magnification and restoration, etc.. Traditional interpolation methods are easy to make the edge structures produce staircase artifacts or make the interpolated results blurred. An image interpolation method with corner preserving based on Partial Differential Equation (PDE) is proposed, which provides different interpolation applications for different characteristics of the image. The proposed interpolation scheme is not only able to?maintain the edge structure clear, but also able to keep the corner sharp. Then, the overall visual and the Peak Signal to Noise Ratio (PSNR) of the interpolation image can be improved effectively. In addition, this paper puts forward methods for selecting the parameters through analyzing the equation, thus it improves the adaptability of the proposed method.