李晓伟,,
武婷婷,
杨真真
南京邮电大学理学院 ??南京 ??210023
基金项目:国家自然科学基金(11671004, 11501301, 61501251)，江苏省研究生科研与实践创新计划项目(KYCX17_0742)
详细信息
作者简介:金正猛：男，1982年生，副教授，研究方向为非线性偏微分方程及其在图像处理中的应用
李晓伟：女，1993年生，硕士生，研究方向为基于偏微分方程的图像处理
通讯作者:李晓伟 1163042352@qq.com
中图分类号:TN911.73计量
文章访问数:1142
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被引次数:0
出版历程
收稿日期:2018-02-01
修回日期:2018-07-09
网络出版日期:2018-07-20
刊出日期:2018-11-01
A Coupled Non-local Total Variation Algorithm for Image Colorization
Zhengmeng JIN,Xiaowei LI,,
Tingting WU,
Zhenzhen YANG
School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China
Funds:The National Natural Science Foundation of China (11671004, 11501301, 61501251), The Postgraduate Research & Practice Innovation Program of Jiangsu Province (KYCX17_0742)
摘要
摘要:基于局部算子的全变差(TV)模型在对纹理图像着色时，会出现颜色扩散不均匀，着色范围区域较小等问题。为了解决上述问题，该文提出基于非局部算子的耦合全变差图像着色模型，结合交替方向乘子法(ADMM)，设计出相应的数值求解算法，并给出该算法的收敛性结果。该模型充分利用像素邻域亮度之间的相似性进行颜色扩散，能有效避免仅利用亮度边缘信息进行局部扩散导致颜色扩散不均匀的问题。数值实验结果表明，该模型在快速着色的同时，能有效解决颜色在纹理等细节处扩散不均匀的问题。
关键词:图像处理/
图像着色/
全变差/
非局部算子/
交替方向乘子算法
Abstract:The traditional Total Variation (TV) model based on local operators for texture image colorization has some problems, such as inhomogeneous color diffusion, small coloring ranges and so on. In order to solve these problems, a coupled total variation model based on nonlocal operators is presented for image colorization, and the correspond numerical algorithm is designed to solve the model by incorporating the Alternating Direction Method of Multipliers (ADMM), and the convergence result of the algorithm is given. The proposed model makes full use of the similarity between the brightness of the pixel areas to perform color diffusion, which can effectively avoid the problem of inhomogeneous color diffusion due to local diffusion only using the brightness edge information. The experimental results are given to show that the model can effectively solve the problem of inhomogeneous color diffusion at textures and other details while fast colorizing.
Key words:Image processing/
Image colorization/
Total Variation (TV)/
Non-local operators/
Alternating Direction Method of Multipliers (ADMM) algorithm
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