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[交流] 怎样在同一个图中画两个等高线图?

目的: 存在两组等高线,两组等高线有交集。将两个等高线画在同一个图中,每组等高线使用不同的colormap, 两组等高线的交集应该是两组颜色的重叠。

实现方法一

使用contour,不用填充颜色的contourf,以便第二组等高线不会覆盖住第一组的交集部分。使用例如colormap([cool(64);gray(64)])命令,将colormap变成两种色彩集的合并。


例子1

clear all % clear all the data in the workspace
close all % close all the current figures
clc % clear the command window
%-----------------------------
% generate the data
[X,Y,Z1] = peaks(64); % X,Y,Z data of the first group
Z2=X.^2+Y.^2; % Z data of the second group
%%
% first method
% use two axes in the same figure
% set the figure's properties
h=figure
scrsz = get(0,'ScreenSize');
set(h,'Position',[scrsz(4).*(1/8) scrsz(4).*(1/20) scrsz(3)*3/5 scrsz(4).*(4/5)])
%--------------------------------------------------------------------------
% the first axes
hAxes(1)=axes('Unit','pixels','position',[100 100 400 400]);
%--------
% combine two colormap in the same one, here we use 'jet' and 'gray'
colormap([jet(64);gray(64)])
% the jet color will be used two index the first contour and the gray will
% be used for the second one.
%--------
[c1,h1] = contour(X(1,,Y(:,1),Z1); % plot the first contour
set(h1,'ShowText','on')
cmin1=min(Z1();
cmax1=max(Z1();
% use caxis to set the limit of the colorbar, the first one will occupy the
% low half one
caxis(hAxes(1),[cmin1,2*cmax1-cmin1])
% then define the axis
set(hAxes(1),'YColor','k','Box','on');
set(hAxes(1),'FontName','Helvetica','FontSize',20,'LineWidth',1)
xlabel(hAxes(1),'$ X $ [-]','Color','k','Interpreter','LaTex','FontSize',20);
ylabel(hAxes(1),'$ Y $ [-]','Color','k','Interpreter','LaTex','FontSize',20);
set(hAxes(1),'xlim',[min(X(1,), max(X(1,)],'YAxisLocation','left','Color','w');
set(hAxes(1),'ylim',[min(Y(:,1)), max(Y(:,1))]);
%--------------------------------------------------------------------------
% the second axes
hAxes(2)=axes('Unit','pixels','position',get(hAxes(1),'position'));
[c2,h2] = contour(X(1,,Y(:,1),Z2); % plot the second contour
cmin2=min(Z2();
cmax2=max(Z2();
% use caxis to set the limit of the colorbar, the second one will occupy the
% higher half one
caxis(hAxes(2),[2*cmin2-cmax2,cmax2])
set(hAxes(2),'visible', 'off') % the the visable of axes 2 off

实现方法二
原则上来说,在一个figure中只能使用一种colormap,所以如果不像第一种方法定义colorbar,两组等高线的色调是一样的。解决这个问题可以采用freezecolor方法,即第一个contour采用一中colormap,然后freeze, 对第二个contour采用另外一个colormap,也freeze。
具体可以参考
http://ycc.math.fju.edu.tw/research/biology/b2012fMRI/fMRICODE/simtb_v18/simtb_v18/display/freezeColors/demo/html/freezeColors_pub.html
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