MATLAB | 情人节画个花瓣venn图？

slandarer2024-02-15 12:25

之前七夕节情人节各种花，相册，爱心啥的都快画够了，今年画个花瓣韦恩图？


花瓣上的数字是仅属于该类的样本数，而中心的数字是属于每一类的样本数

教程部分

0 数据准备

matlab 复制代码 
% 给组起名t1 t2 t3...t15
setName = compose('t%d', 1:15);

% 随机生成数据
Data = [rand(200, 15) > .1; rand(200, 15) > .85];

% 设置字体
numFont = {'FontSize', 14, 'FontName', 'Times New Roman'};
labFont = {'FontSize', 16, 'FontName', 'Times New Roman'};

其中Data数据是个0-1矩阵，矩阵每一行代表一个样本，如果第n列是1代表该样本属于第n类，是0则代表不属于。

1 配色

matlab 复制代码 
CList = lines(15);
% C = flowerPlotColor();
% CList = C.CList631;

这里直接取MATLAB自带的lines配色，当然我也准备了很多其他配色，可以复制下来用：

matlab 复制代码 
function C=flowerPlotColor
C.CList1877 = [
    0.2431    0.3294    0.5882
    0.5098    0.5647    0.7333
         0    0.5569    0.8078
    0.3490    0.7804    0.9216
    0.0275    0.4431    0.5294
    0.4157    0.6667    0.7176
    0.0392    0.5647    0.5255
    0.3294    0.7490    0.7176
    0.5569    0.1255    0.2627
    0.7373    0.4784    0.5608
    0.8784    0.3765    0.4941
    0.9255    0.6275    0.6980
    0.9961    0.6275    0.5647
    0.9961    0.8118    0.7804
    0.7216    0.7373    0.7569
    0.8824    0.8863    0.8980];
C.CList1514 = [
    0.4078    0.5647    0.8157
    0.9098    0.7843    0.6588
    0.9725    0.8784    0.7216
    0.9725    0.9725    0.9725
    0.2196    0.3137    0.4392
    0.5333    0.6588    0.9725
         0         0         0
    0.5961    0.5961    0.6902
    0.3451    0.4706    0.5647
    0.8471    0.8471    0.9725
    0.7216    0.7216    0.8157
    0.8157    0.6902    0.5647
    0.7216    0.5961    0.4706
    0.2510    0.4078    0.6275
    0.7216    0.7843    0.9725];
C.CList1596 = [
    0.2549    0.5490    0.9412
    0.9882    0.7059    0.2549
    0.8784    0.2510    0.0392
    0.0196    0.3922    0.5725
    0.7490    0.7490    0.7490
    0.1020    0.2314    0.4118
    1.0000    0.8902    0.5098
    0.0706    0.6118    0.8667
    0.7922    0.4196    0.2941
         0    0.3608    0.8588
    0.9529    0.8235    0.5333
    0.3137    0.3882    0.5059
    0.9451    0.7255    0.6588
    0.8784    0.5137    0.0392
    0.4706    0.5765    0.7451];
C.CList1470 = [
    0.1882    0.4078    0.5961
    0.2824    0.5020    0.6902
    0.9098    0.8157    0.6275
    0.7843    0.6902    0.5020
    0.3765    0.5961    0.7843
    0.1255    0.1882    0.2824
         0         0         0
    0.4078    0.3765    0.2824
    0.5961    0.5333    0.3765
    0.5647    0.7529    0.9098
    0.2196    0.3137    0.4706
    0.6902    0.7216    0.7529
    0.9725    0.9725    0.9725
    0.5020    0.5333    0.5961
    0.9725    0.9098    0.7843];
C.CList1827 = [
    1.0000    0.6118         0
    0.9686    0.7412    0.3529
    1.0000    0.8000    0.6000
    1.0000    1.0000    0.2000
    1.0000    1.0000    0.6118
    0.8039    0.3882    0.3882
    0.8000    0.6000    0.8000
    1.0000    0.6196    0.3882
    0.3922    0.4275    0.8000
    0.6118    0.6118    1.0000
    0.2000    0.6000    1.0000
    0.6000    0.8000    1.0000
    1.0000    1.0000    0.8000
    0.6941    0.5843    0.4784
    0.9294    0.5333    0.2980
    0.9608    0.9294         0
    0.8667    1.0000    1.0000];
C.CList1607 = [
    0.8863    0.5686    0.5686
    0.6000    0.8667    0.5725
    0.5765    0.8471    0.7255
    0.5804    0.7686    0.8275
    0.5804    0.6039    0.8078
    0.7020    0.5804    0.8000
    0.8000    0.5882    0.6941
    0.8000    0.6431    0.6000
    0.8745    0.8980    0.5725
    1.0000    0.6471    0.3765
    0.4196    1.0000    0.3882
    0.3961    1.0000    0.8000
    0.3961    0.7686    1.0000
    0.3961    0.4196    1.0000
    0.6784    0.3961    1.0000
    1.0000    0.3961    0.9569
    1.0000    0.3961    0.5176
    1.0000    0.3961    0.3961];
C.CList631 = [
    0.1059    0.6392    0.7765
    0.1725    0.7098    0.7529
    0.1882    0.7373    0.6784
    0.1294    0.6902    0.5294
    0.2000    0.6510    0.3608
    0.3412    0.6392    0.2157
    0.6353    0.7137    0.1529
    0.8353    0.7333    0.1294
    0.9725    0.7137    0.1255
    0.9725    0.5725    0.0902
    0.9412    0.4039    0.0980
    0.8784    0.2039    0.1490
    0.9647    0.2863    0.4431
    0.9882    0.4431    0.6196
    0.9216    0.4510    0.7020
    0.8078    0.4118    0.7451
    0.6353    0.4275    0.7608
    0.4706    0.4510    0.7529
    0.3098    0.4863    0.7294];
end



2 数据处理及图窗生成

matlab 复制代码 
% 数据计算
cT = linspace(0, 2*pi, 200);
cX = cos(cT).*8 + 8;
cY = sin(cT).*3;
cXY = [cX;cY];
setNum = size(Data, 2);
rT = 2*pi./setNum;
rM = [cos(rT),-sin(rT); sin(rT),cos(rT)];

uniq = sum(Data.*(sum(Data,2) == 1),1);
core = sum(sum(Data,2) == setNum);

figure('Units', 'normalized', 'Position', [.1,.1,.5,.8]);
ax=gca;
ax.NextPlot = 'add';
ax.DataAspectRatio = [1,1,1];
ax.XColor = 'none';
ax.YColor = 'none';

3 绘制花

matlab 复制代码 
% 绘制椭圆花瓣
for i = 0:setNum-1
    iXY = rM^i*cXY;
    fill(iXY(1,:), iXY(2,:), CList(i+1,:), 'FaceAlpha', .4, 'EdgeColor', 'none');
end
% 绘制白色边缘线
if 1
for i = 0:setNum-1
    iXY = rM^i*cXY;
    plot(iXY(1,:), iXY(2,:), 'Color', 'w', 'LineWidth', 1.2);
end
end
fill(cos(cT).*2.3, sin(cT).*2.3, [1,1,1], 'EdgeColor', 'none')

4 绘制文本

matlab 复制代码 
% 绘制文本信息
for i = 1:setNum
    tR = (i-1)*rT/pi*180;
    if tR>=0 && tR<=180
        tR = tR-90;
    else
        tR = tR+90;
    end
    text(cos((i-1)*rT).*13, sin((i-1)*rT).*13, num2str(uniq(i)),...
        'HorizontalAlignment', 'center',...
        'VerticalAlignment', 'middle',...
        'Rotation', tR,...
        numFont{:})
    text(cos((i-1)*rT).*17, sin((i-1)*rT).*17, setName{i},...
        'HorizontalAlignment', 'center',...
        'VerticalAlignment', 'middle',...
        'Rotation', tR,...
        labFont{:})
end
text(0, 0, {'core';num2str(core)},...
    'HorizontalAlignment', 'center',...
    'VerticalAlignment', 'middle',...
    labFont{:})

完整代码

matlab 复制代码 
% flowerPlotDemo

% 给组起名t1 t2 t3...t15
setName = compose('t%d', 1:15);

% 随机生成数据
Data = [rand(200, 15) > .1; rand(200, 15) > .85];

% 设置字体
numFont = {'FontSize', 14, 'FontName', 'Times New Roman'};
labFont = {'FontSize', 16, 'FontName', 'Times New Roman'};

% 设置配色
CList = lines(15);
% C = flowerPlotColor();
% CList = C.CList631;


% =========================================================
% 绘图部分代码
% ---------------------------------------------------------
% 数据计算
cT = linspace(0, 2*pi, 200);
cX = cos(cT).*8 + 8;
cY = sin(cT).*3;
cXY = [cX;cY];
setNum = size(Data, 2);
rT = 2*pi./setNum;
rM = [cos(rT),-sin(rT); sin(rT),cos(rT)];

uniq = sum(Data.*(sum(Data,2) == 1),1);
core = sum(sum(Data,2) == setNum);

figure('Units', 'normalized', 'Position', [.1,.1,.5,.8]);
ax=gca;
ax.NextPlot = 'add';
ax.DataAspectRatio = [1,1,1];
ax.XColor = 'none';
ax.YColor = 'none';

% 绘制椭圆花瓣
for i = 0:setNum-1
    iXY = rM^i*cXY;
    fill(iXY(1,:), iXY(2,:), CList(i+1,:), 'FaceAlpha', .4, 'EdgeColor', 'none');
end
% 绘制白色边缘线
if 1
for i = 0:setNum-1
    iXY = rM^i*cXY;
    plot(iXY(1,:), iXY(2,:), 'Color', 'w', 'LineWidth', 1.2);
end
end
fill(cos(cT).*2.3, sin(cT).*2.3, [1,1,1], 'EdgeColor', 'none')

% 绘制文本信息
for i = 1:setNum
    tR = (i-1)*rT/pi*180;
    if tR>=0 && tR<=180
        tR = tR-90;
    else
        tR = tR+90;
    end
    text(cos((i-1)*rT).*13, sin((i-1)*rT).*13, num2str(uniq(i)),...
        'HorizontalAlignment', 'center',...
        'VerticalAlignment', 'middle',...
        'Rotation', tR,...
        numFont{:})
    text(cos((i-1)*rT).*17, sin((i-1)*rT).*17, setName{i},...
        'HorizontalAlignment', 'center',...
        'VerticalAlignment', 'middle',...
        'Rotation', tR,...
        labFont{:})
end
text(0, 0, {'core';num2str(core)},...
    'HorizontalAlignment', 'center',...
    'VerticalAlignment', 'middle',...
    labFont{:})

完

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