中文摘要：

为解决正交小波域图像修复方法的现存小波系数不能提供丢失小波系数的充足信息问题,将曲率修复（CDD）模型扩展到非正交小波域,提出一种新的基于三通道多小波紧标架的图像CDD模型。进一步考虑到CDD模型的等照度线是按照直线连接的问题,提出了一种新的CCD模型。新模型的修复在两个方向上进行,在法向上按照改进的曲率函数进行修复,在切向上实现输运机制。新模型结合了多小波紧标架分解技术和改进的CDD模型的优势,利用标架域中小波系数之间具有的冗余性对缺损的信息进行弥补,对现有CDD模型进行改进。给出了有效的split Bregman仿真算法,并采用不同的图像进行了仿真。实验结果表明,新模型对大面积缺损修复及噪声抑制都具有良好的修复效果,即使在大量小波系数丢失的情况下,也能保持图像的边缘结构等几何特征,大大的改善修复质量。

英文摘要：

Realizing that orthogonal wavelet coefficients which are designed to decouple the correlation between pixels and the retained coefficients can not provide enough information for the missing ones,a new curvature driven diffusion（CDD）image inpainting model based on three channel multiwavelet tight frame is proposed in this paper.Considering that in the original CDD inpainting model,the isophotes are still approximate by staright lines,a new model is proposed.In the new model,image inpainting is performed according to improved curvature functions in the normal while information contained in the observed region can permeate into damaged area in the tangential.The model presented this paper combines a novel multiwavelet tight frame decomposition technique with a improved three order CDD inpainting model.Multiwavelet tight frames are redundant,so information contained in the available coefficients will provide information for the missing coefficients.The proposed model has effective control on features and sharp edges of inpainting images,even with massive loss of coefficients.Numerical experiment by using Split Bregman on various loss scenarios and natural images shows the effectiveness of the proposed approach.