Title
Image Colorization Based on a Generalization of the Low Dimensional Manifold Model.
Abstract
In this paper, we introduce a novel model that restores a color image from a grayscale image with color values given in small regions. The model is based on the idea of the generalization of the low dimensional manifold model (Shi et al. in J Sci Comput, 2017.  https://doi.org/10.1007/s10915-017-0549-x) and the YCbCr color space. It involves two prior terms, a weighted nonlocal Laplacian (WNLL) and a weighted total variation (WTV). The WNLL allows regions without color information to be interpolated smoothly from given sparse color data, while the WTV assists to inhibit the diffusion of color values across edges. To cope with various types of sampled data, we introduce an updating rule for the weight function in the WNLL. Furthermore, we present an efficient iterative algorithm for solving the proposed model. Lastly, numerical experiments validate the superior performance of the proposed model over that of the other state-of-the-art models.
Year
DOI
Venue
2018
10.1007/s10915-018-0732-8
J. Sci. Comput.
Keywords
Field
DocType
Image colorization, Low dimensional manifold, Weighted nonlocal Laplacian, Weighted total variation, Nonlocal methods
Weight function,Image colorization,Mathematical analysis,Iterative method,Interpolation,Algorithm,Grayscale,Manifold,Mathematics,Laplace operator,Color image
Journal
Volume
Issue
ISSN
77
2
0885-7474
Citations 
PageRank 
References 
0
0.34
25
Authors
3
Name
Order
Citations
PageRank
Myeongmin Kang1294.54
Myungjoo Kang233252.48
Miyoun Jung312510.72