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| 基于变分法和偏微分方程的图像彩色化方法 | |
| 引用本文： | 陈颖,姚恒,戴蒙.基于变分法和偏微分方程的图像彩色化方法[J].计算机工程与设计,2012,33(9):3531-3534. |
| 作者姓名： | 陈颖 姚恒 戴蒙 |
| 作者单位： | 1. 上海应用技术学院计算机科学与信息工程学院,上海201418;上海大学通信与信息工程学院,上海200072 2. 上海大学通信与信息工程学院,上海,200072 3. 上海应用技术学院计算机科学与信息工程学院,上海,201418 |
| 基金项目： | 上海应用技术学院科研基金项目(KJ2009-15) |
| 摘 要： | 针对传统的图像彩色化算法易产生的图像边缘颜色模糊等问题,提出一种基于变分法和偏微分方程的图像彩色化算法,结合整体变分(TV)模型和金兹堡一朗道(GL)模型的特点,通过求泛函极值建立偏微分方程,使图像的光滑区域和边界区域都能有效的实现颜色扩散,对偏微分方程进行数值求解得到彩色化结果.实验结果表明,与其它偏微分方程彩色化技术相比,该方法能得到清晰自然的彩色化图像和较高的图像质量. |
| 关 键 词： | 图像彩色化 整体变分 金兹堡-朗道 泛函 偏微分方程 |
Image colorization based on total variation and partial differential equation |
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| CHEN Ying , YAO Heng , DAI Meng.Image colorization based on total variation and partial differential equation[J].Computer Engineering and Design,2012,33(9):3531-3534. | |
| Authors: | CHEN Ying YAO Heng DAI Meng |
| Affiliation: | 1(1.School of Computer Science and Information Engineering,Shanghai Institute of Technology,Shanghai 201418,China; 2.School of Communication and Information Engineering,Shanghai University,Shanghai 200072,China) |
| Abstract: | A gray image colorization algorithm based on improved total variation(TV) and partial differential equation(PDE) is proposed to overcome problems of color blurring near edges in some colorization algorithms.According to the character of TV and Ginzburg-Landau(GL),a partial differential equations is established by evaluating the minimization of functional.The colors can be diffusion effectively in the smooth and boundary zone of gray image.A colorized image is obtained by numerically solving the PDE.Compared with some other PDE methods,the proposed method can produce colorized images with better visual quality. |
| Keywords: | image colorization total variation Ginzburg-Landau functional partial differential equations |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |