基于径向基函数的图像修复技术

图像修复是指恢复图像中破损区域的颜色信息或者去除图像中的多余物体。本文提出了一种新的基于径向基函数的图像修复算法，由用户交互地指定需要修复的区域，算法自动地计算破损区域的轮廓并沿轮廓法向扩张，确定合适的径向基函数重构区域，将该区域内图像的颜色值看作规则采样点上的高度场，把二维图像修复问题转化为三维散乱点重建问题，利用径向基函数曲面重建的优势来修补破损的图像。实验表明，该算法能正确、稳定地处理各种破损区域。

Digital Image Inpainting with Radial Basis Functions

The goal of digital image inpainting is to restore damaged regions or remove objects in the image. This paper presents a novel image inpainting algorithm based on RBF (radial basis functions). After the user selects the regions to be inpainted, the algorithm automatically detects contours of the mask and finds appropriate regions to construct the RBF. Color of the 2D image is treated as height field over a regularly sampled grid, the 2D image inpainting problem is naturally converted to 3D implicit surface reconstruction problem, which RBF has been proved to be a good solver. With RBF resampling,the algorithm can nicely fix the damaged image or remove specific objects. Experiments show that our algorithm can fix a large variety of images effectively and robustly.