找不到具体描述的原因是有很多方法可以做到。
让我们从维基百科开始:https://en.wikipedia.org/wiki/Chroma_subsampling#4:2:2
4:4:4:
三个 Y'CbCr 分量中的每一个都具有相同的采样率,因此没有色度二次采样。这种方案有时用于高端胶片扫描仪和电影后期制作。
和
4:2:2:
两个色度分量以亮度采样率的一半进行采样:水平色度分辨率减半。这将未压缩视频信号的带宽减少了三分之一,几乎没有视觉差异。
注意:术语 YCbCr 和 YUV 可以互换使用。
https://en.wikipedia.org/wiki/YCbCr
Y′CbCr 经常与 YUV 颜色空间混淆,通常术语 YCbCr 和 YUV 可以互换使用,导致一些混淆;当提到视频或数字形式的信号时,术语“YUV”主要是指“Y′CbCr”。
数据存储器排序:
还有不止一种格式。
英特尔IPP 文档定义了两个主要类别:“像素顺序图像格式”和“平面图像格式”。
这里有一个很好的文档:https://software.intel.com/en-us/node/503876
有关 YUV 像素排列格式的信息,请参阅此处:http://www.fourcc.org/yuv.php#NV12。
请参阅此处:http://scc.ustc.edu.cn/zlsc/sugon/intel/ipp/ipp_manual/IPPI/ippi_ch6/ch6_image_downsampling.htm#ch6_image_downsampling 了解下采样说明。
让我们假设“像素顺序”格式:
YUV 4:4:4 data order: Y0 U0 V0 Y1 U1 V1 Y2 U2 V2 Y3 U3 V3
YUV 4:2:2 data order: Y0 U0 Y1 V0 Y2 U1 Y3 V1
每个元素都是一个字节,Y0是内存中的低字节。
上述 4:2:2 数据顺序被命名为 UYVY 或YUY2 像素格式。
转换算法:
“朴素子抽样”:
每秒“扔”一次U/V 组件:
拿U0,扔U1,拿V0,扔V1...
来源:Y0U0V0Y1U1V1Y2U2V2
目的地:Y0U0Y1V0Y2U2Y3V2
我不能推荐它,因为它会导致 aliasing 伪影。
平均每个U/V 对:
取目的地U0 等于源(U0+U1)/2,同样适用于V0...
来源:Y0U0V0Y1U1V1Y2U2V2
目的地:Y0(U0+U1)/2Y1(V0+V1)/2Y2(U2+U3)/2Y3(V2+V3)/2
使用其他插值方法对 U 和 V 进行下采样(例如三次插值)。
通常,与简单平均值相比,您将看不到任何差异。
C 实现:
该问题未标记为 C,但我认为以下 C 实现可能会有所帮助。
以下代码通过平均每个 U/V 对将像素排序的 YUV 4:4:4 转换为像素排序的 YUV 4:2:2:
//Convert single row I0 from pixel-ordered YUV 4:4:4 to pixel-ordered YUV 4:2:2.
//Save the result in J0.
//I0 size in bytes is image_width*3
//J0 size in bytes is image_width*2
static void ConvertRowYUV444ToYUV422(const unsigned char I0[],
const int image_width,
unsigned char J0[])
{
int x;
//Process two Y,U,V triples per iteration:
for (x = 0; x < image_width; x += 2)
{
//Load source elements
unsigned char y0 = I0[x*3]; //Load source Y element
unsigned int u0 = (unsigned int)I0[x*3+1]; //Load source U element (and convert from uint8 to uint32).
unsigned int v0 = (unsigned int)I0[x*3+2]; //Load source V element (and convert from uint8 to uint32).
//Load next source elements
unsigned char y1 = I0[x*3+3]; //Load source Y element
unsigned int u1 = (unsigned int)I0[x*3+4]; //Load source U element (and convert from uint8 to uint32).
unsigned int v1 = (unsigned int)I0[x*3+5]; //Load source V element (and convert from uint8 to uint32).
//Calculate destination U, and V elements.
//Use shift right by 1 for dividing by 2.
//Use plus 1 before shifting - round operation instead of floor operation.
unsigned int u01 = (u0 + u1 + 1) >> 1; //Destination U element equals average of two source U elements.
unsigned int v01 = (v0 + v1 + 1) >> 1; //Destination U element equals average of two source U elements.
J0[x*2] = y0; //Store Y element (unmodified).
J0[x*2+1] = (unsigned char)u01; //Store destination U element (and cast uint32 to uint8).
J0[x*2+2] = y1; //Store Y element (unmodified).
J0[x*2+3] = (unsigned char)v01; //Store destination V element (and cast uint32 to uint8).
}
}
//Convert image I from pixel-ordered YUV 4:4:4 to pixel-ordered YUV 4:2:2.
//I - Input image in pixel-order data YUV 4:4:4 format.
//image_width - Number of columns of image I.
//image_height - Number of rows of image I.
//J - Destination "image" in pixel-order data YUV 4:2:2 format.
//Note: The term "YUV" referees to "Y'CbCr".
//I is pixel ordered YUV 4:4:4 format (size in bytes is image_width*image_height*3):
//YUVYUVYUVYUV
//YUVYUVYUVYUV
//YUVYUVYUVYUV
//YUVYUVYUVYUV
//
//J is pixel ordered YUV 4:2:2 format (size in bytes is image_width*image_height*2):
//YUYVYUYV
//YUYVYUYV
//YUYVYUYV
//YUYVYUYV
//
//Conversion algorithm:
//Each element of destination U is average of 2 original U horizontal elements
//Each element of destination V is average of 2 original V horizontal elements
//
//Limitations:
//1. image_width must be a multiple of 2.
//2. I and J must be two separate arrays (in place computation is not supported).
static void ConvertYUV444ToYUV422(const unsigned char I[],
const int image_width,
const int image_height,
unsigned char J[])
{
//I0 points source row.
const unsigned char *I0; //I0 -> YUYVYUYV...
//J0 and points destination row.
unsigned char *J0; //J0 -> YUYVYUYV
int y; //Row index
//In each iteration process single row.
for (y = 0; y < image_height; y++)
{
I0 = &I[y*image_width*3]; //Input row width is image_width*3 bytes (each pixel is Y,U,V).
J0 = &J[y*image_width*2]; //Output row width is image_width*2 bytes (each two pixels are Y,U,Y,V).
//Process single source row into single destination row
ConvertRowYUV444ToYUV422(I0, image_width, J0);
}
}
YUV 4:2:2 的平面表示
平面表示可能比“像素顺序”格式更直观。
在平面表示中,每个颜色通道都表示为一个单独的矩阵,可以显示为图像。
例子:
如您所见,在 4:2:2 格式中,U 和 V 通道在水平轴上被下采样(缩小)。
备注:
U 和 V 通道的“假颜色”表示用于强调 Y 是 Luma 通道,U 和 V 是 Chrominance 通道。
高阶插值和抗锯齿滤镜:
以下 MATLAB 代码示例展示了如何使用高阶插值和抗锯齿滤波器执行下采样。
该示例还显示了FFMPEG 使用的下采样方法。
注意:您无需了解 MATLAB 编程即可理解示例。
您确实需要一些通过Kernel 和图像之间的卷积过滤图像的知识。
%Prepare the input:
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
load('mandrill.mat', 'X', 'map'); %Load input image
RGB = im2uint8(ind2rgb(X, map)); %Convert to RGB (the mandrill sample image is an indexed image)
YUV = rgb2ycbcr(RGB); %Convert from RGB to YUV (MATLAB function rgb2ycbcr uses BT.601 conversion formula)
%Separate YUV to 3 planes (Y plane, U plane and V plane)
Y = YUV(:, :, 1);
U = YUV(:, :, 2);
V = YUV(:, :, 3);
U = double(U); %Work in double precision instead of uint8.
[M, N] = size(Y); %Image size is N columns by M rows.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%Linear interpolation without Anti-Aliasing filter:
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%Horizontal down-sampling U plane using Linear interpolation (without Anti-Aliasing filter).
%Simple averaging is equivalent to linear interpolation.
U2 = (U(:, 1:2:end) + U(:, 2:2:end))/2;
refU2 = imresize(U, [M, N/2], 'bilinear', 'Antialiasing', false); %Use MATLAB imresize function as reference
disp(['Linear interpolation max diff = ' num2str(max(abs(double(U2(:)) - double(refU2(:)))))]); %Print maximum difference.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%Cubic interpolation without Anti-Aliasing filter:
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%Horizontal down-sampling U plane using Cubic interpolation (without Anti-Aliasing filter).
%Following operations are equivalent to cubic interpolation:
%1. Convolution with filter kernel [-0.125, 1.25, -0.125]
%2. Averaging pair elements
fU = imfilter(U, [-0.125, 1.25, -0.125], 'symmetric');
U2 = (fU(:, 1:2:end) + fU(:, 2:2:end))/2;
U2 = max(min(U2, 240), 16); %Limit to valid range of U elements (valid range of U elements in uint8 format is [16, 240])
refU2 = imresize(U, [M, N/2], 'cubic', 'Antialiasing', false); %Use MATLAB imresize function as reference
refU2 = max(min(refU2, 240), 16); %Limit to valid range of U elements
disp(['Cubic interpolation max diff = ' num2str(max(abs(double(U2(:)) - double(refU2(:)))))]); %Print maximum difference.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%Linear interpolation with Anti-Aliasing filter:
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%Horizontal down-sampling U plane using Linear interpolation with Anti-Aliasing filter.
%Remark: The Anti-Aliasing filter is the filter used by MATLAB specific implementation of 'bilinear' imresize.
%Following operations are equivalent to Linear interpolation with Anti-Aliasing filter:
%1. Convolution with filter kernel [0.25, 0.5, 0.25]
%2. Averaging pair elements
fU = imfilter(U, [0.25, 0.5, 0.25], 'symmetric');
U2 = (fU(:, 1:2:end) + fU(:, 2:2:end))/2;
refU2 = imresize(U, [M, N/2], 'bilinear', 'Antialiasing', true); %Use MATLAB imresize function as reference
disp(['Linear interpolation with Anti-Aliasing max diff = ' num2str(max(abs(double(U2(:)) - double(refU2(:)))))]); %Print maximum difference.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%Cubic interpolation with Anti-Aliasing filter:
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%Horizontal down-sampling U plane using Cubic interpolation with Anti-Aliasing filter.
%Remark: The Anti-Aliasing filter is the filter used by MATLAB specific implementation of 'cubic' imresize.
%Following operations are equivalent to Linear interpolation with Anti-Aliasing filter:
%1. Convolution with filter kernel [-0.0234375, -0.046875, 0.2734375, 0.59375, 0.2734375, -0.046875, -0.0234375]
%2. Averaging pair elements
h = [-0.0234375, -0.046875, 0.2734375, 0.59375, 0.2734375, -0.046875, -0.0234375];
fU = imfilter(U, h, 'symmetric');
U2 = (fU(:, 1:2:end) + fU(:, 2:2:end))/2;
U2 = max(min(U2, 240), 16); %Limit to valid range of U elements
refU2 = imresize(U, [M, N/2], 'cubic', 'Antialiasing', true); %Use MATLAB imresize function as reference
refU2 = max(min(refU2, 240), 16); %Limit to valid range of U elements
disp(['Cubic interpolation with Anti-Aliasing max diff = ' num2str(max(abs(double(U2(:)) - double(refU2(:)))))]); %Print maximum difference.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%FFMPEG implementation of horizontal down-sampling U plane.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%FFMPEG uses cubic interpolation with Anti-Aliasing filter (different filter kernel):
%Remark: I didn't check the source code of FFMPEG to verify the values of the filter kernel.
%I can't tell how FFMPEG actually implements the conversion.
%Following operations are equivalent to FFMPEG implementation (with minor differences):
%1. Convolution with filter kernel [-115, -231, 1217, 2354, 1217, -231, -115]/4096
%2. Averaging pair elements
h = [-115, -231, 1217, 2354, 1217, -231, -115]/4096;
fU = imfilter(U, h, 'symmetric');
U2 = (fU(:, 1:2:end) + fU(:, 2:2:end))/2;
U2 = max(min(U2, 240), 16); %Limit to valid range of U elements (FFMPEG actually doesn't limit the result)
%Save Y,U,V planes to file in format supported by FFMPEG
f = fopen('yuv444.yuv', 'w');
fwrite(f, Y', 'uint8');
fwrite(f, U', 'uint8');
fwrite(f, V', 'uint8');
fclose(f);
%For executing FFMPEG within MATLAB, download FFMPEG and place the executable in working directory (ffmpeg.exe for Windows)
%FFMPEG converts source file in YUV444 format to destination file in YUV422 format.
if isunix
[status, cmdout] = system(['./ffmpeg -y -s ', num2str(N), 'x', num2str(M), ' -pix_fmt yuv444p -i yuv444.yuv -pix_fmt yuv422p yuv422.yuv']);
else
[status, cmdout] = system(['ffmpeg.exe -y -s ', num2str(N), 'x', num2str(M), ' -pix_fmt yuv444p -i yuv444.yuv -pix_fmt yuv422p yuv422.yuv']);
end
f = fopen('yuv422.yuv', 'r');
refY = (fread(f, [N, M], '*uint8'))';
refU2 = (fread(f, [N/2, M], '*uint8'))'; %Read down-sampled U plane (FFMPEG result from file).
refV2 = (fread(f, [N/2, M], '*uint8'))';
fclose(f);
%Limit to valid range of U elements.
%In FFMPEG down-sampled U and V may exceed valid range (there is probably a way to tell FFMPEG to limit the result).
refU2 = max(min(refU2, 240), 16);
%Difference exclude first column and last column (FFMPEG treats the margins different than MATLAB)
%Remark: There are minor differences due to rounding (I guess).
disp(['FFMPEG Cubic interpolation with Anti-Aliasing max diff = ' num2str(max(max(abs(double(U2(:, 2:end-1)) - double(refU2(:, 2:end-1))))))]);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
不同类型下采样方法的示例。
使用抗锯齿滤镜的线性插值与三次插值:
在第一个示例(山魈)中,没有明显的差异。
在第二个示例(圆形和矩形)中,存在细微的可见差异。
第三个示例(行)演示了锯齿伪影。
备注:显示的图像使用三次插值从 YUV422 上采样到 YUV444 并从 YUV444 转换为 RGB。