连分式在图像修复中的应用

Image inpainting based on Thiele's rational interpolation

破损图像的修补一直是图像处理中一个重要的研究课题,数字图像修补技术被广泛用于各个领域包括医学图像的修复、文物的修复、犯罪现场的还原以及电影胶片上划痕、污迹的消除。在通常的图像修复技术上,对于一些规则的破损纹理图案采用Thiele型连分式这一有理插值的方法来对破损部分周围的像素点进行插值从而达到修补破损部分的目的。介绍了连分式方法及其在图像修复中的应用,实验证明,连分式插值的方法取得的结果优于一般软件处理的结果,所以使用连分式的纹理修补方法是一种简单而又有效的修补方法。

The repairing of damaged image is an important research field in image processing. The technique of image inpainting is used widely in many fields such as repairing of damaged medical image, ancient artifact and removing of scratches and spots of dust on in film. Thiele type continued fractions interpolation function is used to interpolate pixels around damaged part of the regular texture aiming at repairing the texture based on the regular inpainting method. The mettod based on Thiele＇s interportion is presented. Experimental results show that the image inpainted by this method is better than the one inpainted by Photoshop. The method is an easy and effective way to repair the image.