互补色小波颜色恒常性/白平衡方法

陈扬; 李旦; 张建秋

doi:10.16383/j.aas.c180037

互补色小波颜色恒常性/白平衡方法

doi: 10.16383/j.aas.c180037

陈扬^1,,
李旦^1, ,,
张建秋^1,

1.
复旦大学信息科学与工程学院智慧网络与系统研究中心和电子工程

基金项目:

国家自然科学基金 61571131

详细信息

作者简介:
陈扬复旦大学电子工程系博士研究生.主要研究方向为图像/视频处理. E-mail: 13110720040@fudan.edu.cn

张建秋复旦大学电子工程系教授.主要研究方向为信号处理及其在通信、控制、测量、图像和雷达中的应用. E-mail: jqzhang@ieee.org

通讯作者:
李旦复旦大学电子工程系讲师.主要研究方向为数字信号处理及应用.本文通信作者. E-mail: lidan@fudan.edu.cn

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出版历程
- 收稿日期: 2018-01-17
- 录用日期: 2018-08-14
- 刊出日期: 2020-07-24

Color Constancy With Complementary Color Wavelets

CHEN Yang^1
,,
LI Dan^{1
, ,},
ZHANG Jian-Qiu^1
,

1.
Department of Electronic Engineering and the Research Center of Smart Networks and Systems, School of Information Science and Technology, Fudan University, Shanghai 200433

Funds:

National Natural Science Foundation of China 61571131

More Information

Author Bio:
CHEN Yang Ph. D. candidate in the Department of Electronic Engineering, Fudan University. His research interest covers the multiresolution filtering and image/video processing

ZHANG Jian-Qiu Professor in the Department of Electronic Engineering, Fudan University. His research interest covers signal processing and its application

Corresponding author: LI Dan Lecturer in Department of Electronic Engineering, Fudan University. His research interest covers digital signal processing and its application to nondestructive testing. Corresponding author of this paper

摘要

摘要: 借助于互补色小波, 本文提出一种新的颜色恒常性统计方法.分析表明:标准光照图像的互补色小波子带关系, 可以利用联合拉普拉斯分布来进行描述.统计学习标准光照图像, 可获得拉普拉斯分布的参数, 为图像建立起标准光照的基准模型.该基准模型可为光照偏移(颜色恒常偏移)的图像提供光照补偿依据, 使偏光图像通过光照补偿恢复为标准光照图像, 从而得到光照参数.基于该基准模型对补偿光照参数进行最大似然估计的实验结果表明:本文所提方法的处理效果与列出的最好文献算法相当, 其在常用数据库上估计到的光照参数误差中值小0.1°, 而均值和最大值则小0.3°.
- 色恒常性 /
- 白平衡 /
- 互补色小波 /
- 彩色图像
Abstract: By means of the recent reported complementary color wavelet transform (CCWT), a novel color constancy statistical method is proposed in this paper. Analyses show that the CCWT subband coefficients of the standard light images can be well described by a multivariate Laplace distribution. Learning the distribution parameters from the white light images helps to established the standard multivariate Laplace distribution. Such standard distribution provides the criterion for light compensation, by which the bias light images can be translated to the standard light images. The maximum likelihood estimation results of the compensation light show that: our method is as good as the best performances of listed literatures, reducing the median error 0.1°, and the mean and maximum errors 0.3°.
- Color constancy /
- white balance /
- complementary color wavelets /
- color image
Recommended by Associate Editor SANG Nong
注释:

1) 本文责任编委桑农

HTML全文

图 1 色环与互补色小波

Fig. 1 The hue ring and the CCWT

下载: 全尺寸图片幻灯片

图 2 互补色小波的方向与相位, 每列对应$n = k\pi /8, k = 1, 2, \cdots, 8$中的一个方向, 每行对应$\theta = 0, 2\pi /3, 4\pi /3$中的一种相位

Fig. 2 Orientations and phases of the CCWT. Each column denotes one of the $n = k\pi /8, k = 1, 2, \cdots, 8$ orientations and each row denotes one of the $\theta = 0, 2\pi /3, 4\pi /3$ phases

下载: 全尺寸图片幻灯片

图 3 白色背景中一维边缘信号的互补色小波分解示例

Fig. 3 CCWT operators running over a line segment on the white background

下载: 全尺寸图片幻灯片

图 4 互补色小波子带统计特性

Fig. 4 Statistical characteristics of the CCWT subbands

下载: 全尺寸图片幻灯片

表 1 RAW格式数据库各种颜色恒常性算法结果的角度误差

Table 1 Angular errors for different color constancy methods on the COLOR CHECKER RAW database

方法	误差均值(°)	误差中值(°)	误差最大值(°)
White-patch ^[3]	7.4	5.6	40.6
Gray-world ^[4]	6.3	6.3	24.8
Shades-of-gray ^[5]	4.9	4.0	20.0
1st-order grey-edge ^[8]	5.2	4.5	19.7
2nd-order grey-edge ^[8]	5.0	4.4	16.9
Natural image statistics ^[24]	4.0	3.1	26.2
Gamut mapping ^[11]	4.1	2.3	23.2
Edge-based gamut mapping ^[12]	6.5	5.0	29.0
Exemplar-based ^[16]	3.1	2.3	16.3
Improved specular edge ^[7]	4.9	3.3	28.3
Multi-cue tree-structured ^[25]	3.3	2.2	18.2
AlexNet+SVR ^[18]	4.7	3.1	29.2
Using CNNs ^[34]	2.9	2.1	14.8
Bayesian ^[13]	4.7	3.5	24.5
Spatio-spectral statistics ^[15]	3.1	2.3	14.8
Proposed CCWT statistics	2.8	2.2	14.5

下载: 导出CSV

表 2 贝叶斯颜色恒常性算法结果比较

Table 2 Comparison between Bayesian color constancy methods

方法	误差均值(°)	误差中值(°)	误差最大值(°)
Spatio-spectral statistics ^[15]	3.1	2.3	14.8
CCWT with fixed $\alpha $	2.9	2.2	14.6
Proposed CCWT statistics	2.8	2.2	14.5

下载: 导出CSV

表 3 SFU HDR数据库各种颜色恒常性算法结果的角度误差

Table 3 Angular errors for different color constancy methods on the SFU HDR database

方法	误差均值(°)	误差中值(°)	最差25 %样本均值(°)
White-patch ^[3]	6.3	3.9	-
Gray-world ^[4]	8.0	7.4	15.0
Shades-of-gray ^[5]	5.7	3.9	12.7
1st-order grey-edge ^[8]	6.0	3.9	13.6
Corrected-moment ^[9]	4.0	3.2	-
Double-opponency ^[35]	6.2	3.5	14.0
Proposed CCWT statistics	4.4	3.1	9.8

下载: 导出CSV

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