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Bayer color conversion and processing.pdf
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详细说明：文档详细描述了Bayer原始图像格式的像素排列的模式，以及Bayer图像像素与RGB图像格式之间转换的公式。The second form is used by Intel in their image processing library [41, and may be more suitable for
implementation
Y=(798R+19235G+37366)/213
(22)
U=(21208R-1694G-32778)/215+128
V=(4784R-9437G+4221)/215+128
format(e.g. 10, 255] for a 24-bit YUV format). The inverse conversion may be accomplished b .or the YUV
In either case, resulting values of Y, U and V should be clipped to fit the appropriate range fo
R=1.164(Y-16)+2.018(V-128)
G=1.164(Y-16-0.813(-128)-0.391(V-128)
B=1.164(Y-16)+1596(-128)
3. White balance operation in rgB and yuv domains
The white balance operation is defined as a gain correction for red, green and blue components by gain
factors AR, AG and AB, respectively, 1.e
Rwb= ARR
m=4C(3)
B
b
ApB
B
The new(white-balanced) values for red, green and blue are Rwb, Gw and Bwb. To derive the equivalent
form of this operation in the YUV domain, we proceed as follows. First, write equation(2.1)as
Cx+v(3.2)
where x=(R, G, B)is the vector in the RGB space, y=(r, U,v) is the corresponding vector in
the yUv space, V=(16, 128, 128), and C is the appropriate matrix of conversion coefficients
Similarly,( 3. 1) can be written as
wb
Ax(3.3
where Xwb=(Rwb, Gwb, Bwb)is the vector in the RGB space modified by white balance operation
(2.4), and a=diag(ar, ag, AB). We want to determine what is the corresponding vector ywb in the
YUV domain, without having to revert back to the rgb domain. Vector y wb is found by substituting
wb for x in(3. 2)
ywh=Cxwb+V=CAx+V
Let D=CA, so that ywh-V=DX. Then x=DYwb-v) Substitute this expression for x back
into (3.2)to obtain
y=CD"m=V+y(3.4)
AN3- Bayer Color Filter
4/3/2003
Silicon Imaging, Inc
Page 3
This equation provides the connection between y and y wb without involving x or xwb(i.e. without going
back to the RGB domain). Manipulating (3. 4) and using the fact that for nonsingular matrices
CD
=DC[5, we get that white balance operation in the yuv domain is
y wb
DC-(y-V)+v=CAc y-v)+v
(35)
Expressing components of y wh from (3.5 )we get
b=(0299AR+0587AG+0.141)-16)+(04104R-04104G;C-128)+(-0.197AG+0.198AB)V-128)-16
(0.5114R-0.428AG-0.009AB)(Y-16)-(0.7014R+0.299G)U-128)+(0.14G-0.1434B)V-128)+128
Vb≈(-01724R-039kG+051141)(-16)+(-02364R+0.2374G(U-128)+(0.14AG+08864B)V-128)+128
Terms with leading coefficient less than 10 have been dropped
References
[1 B. E Bayer, Color imaging array, US Patent No. 3971065
[2] T. Sakamoto, C Nakanishi and T. Hase, Software pixel interpolation for digital still cameras suitable
for a 32-bit MCU. EEE Trans. Consumer electronics, vol 44. no. 4. November 1998
[3]http://www.northpoleengineering.com/rgb2yuv.htm
AN3- Bayer Color Filter
4/3/2003
Silicon Imaging, Inc
Page 4
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