用excel给定的源光谱数据和CIE1931-xyz-三刺激值数据,用matlab求出给定光谱的XYZ 和光谱的xyz色坐标;
时间: 2023-05-28 21:06:07 浏览: 913
步骤:
1. 打开Excel文件,将源光谱数据和CIE1931-xyz-三刺激值数据复制到两个新建的工作簿中(注意:将源光谱数据粘贴到第一个工作簿中,将CIE1931-xyz-三刺激值数据粘贴到第二个工作簿中)。
2. 在matlab中,使用xlsread函数读取两个工作簿中的数据,并将其存储在两个矩阵中。
```matlab
% 读取源光谱数据
[lambda, intensity] = xlsread('source_spectrum.xlsx');
% 读取CIE1931-xyz-三刺激值数据
[wavelength, x, y, z] = xlsread('CIE1931-xyz-tristimulus-values.xlsx');
```
3. 将源光谱数据和CIE1931-xyz-三刺激值数据进行插值操作,使它们在波长范围内等间距。
```matlab
% 对源光谱数据进行插值
new_lambda = linspace(380, 780, 201);
new_intensity = interp1(lambda, intensity, new_lambda, 'spline');
% 对CIE1931-xyz-三刺激值数据进行插值
new_x = interp1(wavelength, x, new_lambda, 'spline');
new_y = interp1(wavelength, y, new_lambda, 'spline');
new_z = interp1(wavelength, z, new_lambda, 'spline');
```
4. 计算XYZ色值。
```matlab
% 计算XYZ色值
M = [new_x', new_y', new_z'];
XYZ = trapz(new_lambda, new_intensity .* M);
```
5. 计算光谱的xyz色坐标。
```matlab
% 计算光谱的xyz色坐标
x_bar = trapz(new_lambda, new_x .* new_intensity) / trapz(new_lambda, new_intensity);
y_bar = trapz(new_lambda, new_y .* new_intensity) / trapz(new_lambda, new_intensity);
z_bar = trapz(new_lambda, new_z .* new_intensity) / trapz(new_lambda, new_intensity);
```
6. 输出XYZ色值和光谱的xyz色坐标。
```matlab
% 输出XYZ色值
fprintf('XYZ = [%f, %f, %f]\n', XYZ(1), XYZ(2), XYZ(3));
% 输出光谱的xyz色坐标
fprintf('x = %f, y = %f, z = %f\n', x_bar, y_bar, z_bar);
```
完整代码如下:
```matlab
% 读取源光谱数据
[lambda, intensity] = xlsread('source_spectrum.xlsx');
% 读取CIE1931-xyz-三刺激值数据
[wavelength, x, y, z] = xlsread('CIE1931-xyz-tristimulus-values.xlsx');
% 对源光谱数据进行插值
new_lambda = linspace(380, 780, 201);
new_intensity = interp1(lambda, intensity, new_lambda, 'spline');
% 对CIE1931-xyz-三刺激值数据进行插值
new_x = interp1(wavelength, x, new_lambda, 'spline');
new_y = interp1(wavelength, y, new_lambda, 'spline');
new_z = interp1(wavelength, z, new_lambda, 'spline');
% 计算XYZ色值
M = [new_x', new_y', new_z'];
XYZ = trapz(new_lambda, new_intensity .* M);
% 计算光谱的xyz色坐标
x_bar = trapz(new_lambda, new_x .* new_intensity) / trapz(new_lambda, new_intensity);
y_bar = trapz(new_lambda, new_y .* new_intensity) / trapz(new_lambda, new_intensity);
z_bar = trapz(new_lambda, new_z .* new_intensity) / trapz(new_lambda, new_intensity);
% 输出XYZ色值和光谱的xyz色坐标
fprintf('XYZ = [%f, %f, %f]\n', XYZ(1), XYZ(2), XYZ(3));
fprintf('x = %f, y = %f, z = %f\n', x_bar, y_bar, z_bar);
```
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