如何生成具有不同温度的磁盘的热图？

Question

我在根据定义的图形生成热图时遇到了一些问题。与磁盘相比，我正在研究两个表面（一个磁盘和一个可以建模为一维的圆柱体）之间接触点的温度。

我有3组数据，一组是圆盘的半径(r)，另一组是接触点的角度(Theta)，最后一组是发生摩擦的接触点的温度.

到目前为止，我能够在通过另一个程序获得的模拟中创建磁盘和差异点，这为我提供了之前的数据集。我遇到麻烦的地方是当我想 link 获得它的温度并根据它的温度给它一个色标。我不知道如何建立这种关系。

正如我所说，这就是我所得到的，这只是模拟结果给出的点的定义。

Theta = xlsread('Laiton1.xlsx',1,'G2:G3381');   % Parameter turning angle
r = xlsread('Laiton1.xlsx',1,'C2:C3381');       % Parameter radius
Tsurf_d = xlsread('Laiton1.xlsx',1,'E2:E3381'); % Temperature on the surface
x = r*cos(Theta'); % parametrical transformation of (r,Theta) for the X axis
y = r*sin(Theta'); % parametrical transformation of (r,Theta) for the Y axis
Theta1 = linspace(0,360,5000);  % Angle to define the 2 circumferences of the disk 
x1 = 0.0145*cos(Theta1); % X points for the inner circumerference
y1 = 0.0145*sin(Theta1); % Y points for the inner circumerference
x2 = 0.0475*cos(Theta1); % X points for the external circumerference
y2 = 0.0475*sin(Theta1); % Y points for the external circumerference
plot(X,Y,X1,Y1,'black',X2,Y2,'black')

Answer 1

我希望我理解你的问题：你有三个坐标和测量向量，你想用它们绘制热图。下面的代码就是这样做的。改变参数 "resolution" 以放大或缩小绘图。

% Me simulating your data 
numData = 100;
Theta = (0:2*pi/(numData-1):2*pi) + (rand(1,numData)-.5)/10;
r = 23 + (rand(1,numData)-.5);
Tsurf_d = rand(1,numData)*100;

% Creating a table on which you can gather your data for plotting
resolution = 1; % Smaller number -> bigger and fewer pixels
c = resolution*ceil(max(r)) + 1; % Which pixel will be your center coordinate
width = 2*c + 1; % The width and height of your table
tempSumMap = zeros(width);
numDataMap = zeros(width);

% Calculating corresponding positions of each data point
xCoords = round( resolution*r.*cos(Theta) );
yCoords = round( resolution*r.*sin(Theta) );

% Adding the data points. In situations where two data points want to add
% to the same pixel, they both add, and numDataMap remembers to later
% divide by 2
for dataNo = 1:numData
    y = yCoords(dataNo) + c ;
    x = xCoords(dataNo) + c ;
    tempSumMap(y,x) = tempSumMap(y,x) + Tsurf_d(dataNo);
    numDataMap(y,x) = numDataMap(y,x) + 1;
end

% Remember to divide by the number of times you added a certain temperature
% to a pixel
tempMap = tempSumMap./max(1,numDataMap);

% Display the result
imagesc(tempMap)

如何生成具有不同温度的磁盘的热图？

How to generate a heatmap of a disk having its different temperatures?

matlab

disk

temperature

heatmap

matlab-figure