我的之前的提问是霍夫曼编码,行程编码,JEPG编码,你看看你回答的是什么
时间: 2024-01-17 17:04:02 浏览: 70
非常抱歉,我看错了你的问题。下面是我针对你之前的问题提供的Matlab代码实现:
1. 霍夫曼编码
```matlab
% 给定符号集合及其对应的概率,返回二进制编码
function codes = huffman_encoding(symbols, probabilities)
% 初始化编码为0
codes = strings(size(symbols));
% 构建霍夫曼树
tree = build_huffman_tree(symbols, probabilities);
% 递归获取每个符号的编码
get_code(tree, "");
function get_code(node, code)
if ~isempty(node)
if ~isempty(node.symbol)
% 当前节点是叶子节点,保存编码
codes(node.symbol) = code;
else
% 非叶子节点,递归遍历左右子树
get_code(node.left, code + "0");
get_code(node.right, code + "1");
end
end
end
function root = build_huffman_tree(symbols, probabilities)
% 初始化节点
nodes = cell(size(symbols));
for i = 1:length(symbols)
nodes{i} = struct('symbol', symbols(i), 'probability', probabilities(i), 'left', [], 'right', []);
end
% 构建霍夫曼树
while length(nodes) > 1
% 按概率从小到大排序
[probabilities, order] = sort(probabilities);
nodes = nodes(order);
% 合并概率最小的两个节点
left = nodes{1};
right = nodes{2};
parent = struct('symbol', [], 'probability', left.probability + right.probability, 'left', left, 'right', right);
% 从节点列表中删除合并的两个节点,添加新的节点
nodes = nodes(3:end);
nodes{end+1} = parent;
end
root = nodes{1};
end
end
```
2. 行程编码
```matlab
% 给定二进制字符串,返回行程编码
function code = run_length_encoding(binary)
% 初始化计数器和编码
count = 0;
code = "";
% 遍历二进制字符串
for i = 1:length(binary)
if binary(i) == "1"
% 当前位为1,将计数器转为二进制编码添加到行程编码中
code = code + dec2bin(count);
% 将计数器归零
count = 0;
% 添加当前位到行程编码中
code = code + "1";
else
% 当前位为0,计数器加1
count = count + 1;
end
end
% 处理最后的计数器
if count > 0
code = code + dec2bin(count);
end
end
```
3. JEPG编码
```matlab
% 给定图像矩阵,返回JEPG编码
function code = jpeg_encoding(image)
% 转为YCbCr色彩空间
ycbcr = rgb2ycbcr(image);
% 对每个分量进行离散余弦变换
y = dct2(ycbcr(:,:,1));
cb = dct2(ycbcr(:,:,2));
cr = dct2(ycbcr(:,:,3));
% 对每个分量进行量化
qy = quantize(y, 1);
qcb = quantize(cb, 2);
qcr = quantize(cr, 2);
% 将量化后的分量进行Zigzag扫描
zigzag_y = zigzag(qy);
zigzag_cb = zigzag(qcb);
zigzag_cr = zigzag(qcr);
% 对Zigzag扫描后的结果进行行程编码
code_y = run_length_encoding(zigzag_y);
code_cb = run_length_encoding(zigzag_cb);
code_cr = run_length_encoding(zigzag_cr);
% 将行程编码合并到一起
code = code_y + code_cb + code_cr;
end
% 对矩阵进行量化
function q = quantize(matrix, type)
if type == 1
% 亮度分量
q = round(matrix ./ [16 11 10 16 24 40 51 61; 12 12 14 19 26 58 60 55; 14 13 16 24 40 57 69 56; 14 17 22 29 51 87 80 62; 18 22 37 56 68 109 103 77; 24 35 55 64 81 104 113 92; 49 64 78 87 103 121 120 101; 72 92 95 98 112 100 103 99]);
else
% 色度分量
q = round(matrix ./ [17 18 24 47 99 99 99 99; 18 21 26 66 99 99 99 99; 24 26 56 99 99 99 99 99; 47 66 99 99 99 99 99 99; 99 99 99 99 99 99 99 99; 99 99 99 99 99 99 99 99; 99 99 99 99 99 99 99 99; 99 99 99 99 99 99 99 99]);
end
end
% 对矩阵进行Zigzag扫描
function zigzag_matrix = zigzag(matrix)
zigzag_matrix = zeros(1, numel(matrix));
rows = size(matrix, 1);
cols = size(matrix, 2);
index = 1;
for i = 1:rows+cols-1
if mod(i, 2) == 1
% 奇数行,从左下到右上扫描
if i <= rows
% 第一列
row = i;
col = 1;
else
% 最后一行
row = rows;
col = i - rows + 1;
end
while row >= 1 && col <= cols
zigzag_matrix(index) = matrix(row, col);
index = index + 1;
row = row - 1;
col = col + 1;
end
else
% 偶数行,从右上到左下扫描
if i <= cols
% 最后一行
row = 1;
col = i;
else
% 最后一列
row = i - cols + 1;
col = cols;
end
while row <= rows && col >= 1
zigzag_matrix(index) = matrix(row, col);
index = index + 1;
row = row + 1;
col = col - 1;
end
end
end
end
```
以上是针对你之前的问题提供的Matlab代码实现,分别实现了霍夫曼编码、行程编码和JEPG编码。
阅读全文