基于p-Laplace方程的图像彩色化方法  

Image Colorization Based on p-Laplace Equation

作　　者：王泽文[1] 张小明[1] 

机构地区：[1]东华理工大学数学与信息科学学院,江西抚州344000

出　　处：《工程图学学报》2010年第6期62-67,共6页Journal of Engineering Graphics

基　　金：国家自然科学基金资助项目(10861001);江西省自然科学基金资助项目;东华理工大学研究生创新基金资助项目(DYCA08009)

摘　　要：灰度图像的彩色化是图像处理研究领域中富有挑战性的研究课题,且具有十分广阔的应用前景。在分析现有图像彩色化方法的基础上,提出了一种基于p-Laplace方程的图像彩色化新方法。新方法首先由用户在灰度图像上给定少量的颜色条带;然后通过求解p-Laplace方程实现颜色扩散的彩色化。由于p-Laplace算子是一个各向异性扩散的非线性算子,所以与采用偏微分方程方法的泊松方法和拉普拉斯方法相比,图像彩色化在扩展颜色的同时更能保持边缘效果。Colorization of grayscale image is a challenging research field in image processing,and has wide application prospect.After analyzing current colorization algorithms,the paper proposes a new colorization algorithm based on p-Laplace equation.A user needs to provide the grayscale image with a few color scribbles manually.Then,the grayscale image is colorized by solving the p-Laplace equation.Since the p-Laplace operator is a nonlinear anisotropic diffusion operator,the new method can better maintain the color’s effect of the edge,at the same time achieving the color expansion than Saprio’s poisson colorization algorithm and Teng sheng-hua’s Laplace colorization algorithm,which are also partial differential equation based methods.

关 键 词：图像彩色化 P-LAPLACE方程 偏微分方程方法 图像处理 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]