Forensics of Image Tampering Based on the
Consistency of Illuminant Chromaticity
Huang Yan-li
*
, Niu Shao-zhang
*
, Zou Jian-cheng
†
, Zhou Lin-na
#
*
Beijing Key Lab of Intelligent Telecommunication Software and Multimedia, Beijing University of Posts and
Telecommunications, Beijing 100876, China
E-mail: Deneae@163.com, szniu@bupt.edu.cn
†
Institute of Image Processing & Pattern Recognition, North China University of Technology, Beijing 100144, China
E-mail: zjc@ncut.edu.cn
#
Beijing Institute of Electronic Technology Application, Beijing 100091, China
E-mail: zhoulinna@tsinghua.edu.cn
Abstract—For the tamper method of the same image copy-
paste, a new tampering forensics scheme is proposed with the
consistency of illuminant chromaticity in the three color
channels, RGB, as the identification indicator of the image.
The experimental results show that the detection way, which
use the chromaticity consistency of different objects in the
image as the features of image tampering forensics, works well,
for the modifications of copy-paste and scaling on the pasted
region in the same image.
I. INTRODUCTION
Digital images are powerful tool for communication in
the daily life. With the development of image processing
techniques, it is not difficult to manipulate images for the
public users. Therefore, the photographs about news events
are no longer trusted by the major Medias, such as
newspapers, magazines, websites and television and so on.
In response, forensic techniques have emerged to detect
geometric, scene properties or statistical inconsistencies to
identify the authenticity of images.
This paper describes a new forgery detection method and
chooses the illuminant chromaticity as the unique
identification indicator of an image
[1,2]
. Based on the
theories of dichromatic reflectance model
[3]
, inverse-
intensity chromaticity(IIC)space
[4]
and Hough space, the
highlight regions of objects firstly are determined in the
image, and then the chromaticity values can be estimated
about three color channels. Next, the difference model of the
chromaticity between different objects is built, and finally
the difference value is compared with threshold value. If the
difference of the illuminant chromaticity exceeds the
threshold, the consistency of illuminant chromaticity should
be broken. Hence, the image can be authenticated as
doctored by this way.
II. D
ICHROMATIC REFERENCE MODEL
The dichromatic reflectance model states that the
reflection light happens when the light illuminates the
surface of non-uniform material. Diffuse reflection and
specular reflection consist of the reflection light on the
surface of objects in the image. Commonly, it assumes that
the chromaticity of specular reflection is close to the
illuminant chromaticity and camera response is linear. In a
camera, sensor response function is defined as (1):
() () () () ()
xxxxx
cscdc
GwBwI +=
(1)
Where
c
denotes one of the three color channels,
()
x
c
I
denotes the image intensity in the
c
color channel,
()
x
d
w
and
()
x
s
w
respectively the geometricparameters of
diffuse and specular reflection,
()
x
c
B
and
()
x
c
G
the sensor
response functions. The [4] states that the choice of
c
G
and
()
x
c
B
is not related with the location
x
, and shows that the
color of the specular light is globally constancy. Thus, the
image chromaticity function is (2):
()
()
()
∑
=
i
i
c
c
I
I
σ
x
x
x
(2)
Where
()
x
c
σ
is the image chromaticity in the point
x
,
and i belongs to one of the three color channels.
()
()
()
∑
=
i
i
c
c
B
B
Λ
x
x
x
(3)
()
()
()
∑
=
i
i
c
c
G
G
Γ
x
x
x
(4)
()
x
c
Λ
and
()
x
c
Γ
denote the chromaticity of diffuse and
specular reflection separately. So, the eq. 1 can be expressed
as follows:
() () () () ()
xxxxx
cscdc
ΓmΛmI +=
(5)
Where
() () ()
xxx
∑
=
i
idd
Bwm
(6)
() () ()
xxx
∑
=
i
iss
Gwm
(7)
978-616-361-823-8 © 2014 APSIPA