# contourc - plotting contour matrix

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John Mahoney on 1 Jun 2012
Edited: Liviu Ivanescu on 18 Aug 2018
I would like to find the contours, manipulate them, and then plot them.
This plots contours
x = 0:0.1:1; y = 0:0.1:1;
[X,Y] = meshgrid(x,y);
Z = sin(X).*cos(Y);
[con_mat, h] = contour(x, y, Z);
To get the contour information without plotting, can use contourc.
con_mat = contourc(x, y, Z);
However, there appears to be no built-in way to plot this "contour matrix".
Any thoughts?
John

Darin on 5 Jun 2012
Try this: it uses cplot, which you can find on Matlab central.
If you find something more elegant, please let us all know... it MUST be buried in the Matlab library function SOMEWHERE.
function[] = plot_contourmatrix(C);
% plot_countourmatrix - Plots a contour matrix c as returned from contour
%
% plot_contourmatrix(C)
% Rev History:
% 06-04-12 Created
figure(gcf);
holdstate = ishold;
hold on;
i = 1;
while i<=length(C)
lev = C(1,i);
cnt = C(2,i);
cplot(C(1,i+(1:cnt)),C(2,i+(1:cnt)),repmat(lev,1,cnt));
i = i+cnt+1;
end;
if ~holdstate
hold off;
end;
return
test code - execute as cell
figure(1);
[x,y] = meshgrid(-3:.1:3);
z = sinc(hypot(x,y));
[C,h] = contour(x,y,z);
axis equal
figure(2)
plot_contourmatrix(C);
axis equal

John Mahoney on 4 Dec 2014
Thanks Darin. I was using something similar, but was checking for integer values in C(2,:). This fails (almost never) when the y value is an integer. Yours does not have this problem.
It would be ideal to have a Matlab function not only for plotting this matrix, but for extracting the points in these contours (would use the same code as above.) as folks often want to process these contours before plotting etc.
Johannes Korsawe on 26 Jan 2015
Where to find cplot? it is not longer on the FEx ?

Liviu Ivanescu on 18 Aug 2018
Edited: Liviu Ivanescu on 18 Aug 2018
Here is a way to plot contourc data containing several contours of the same value.
cnt = contourc(matrix,[-2 -2]);
szc = size(cnt);
idz = 1;
while idz<szc(2)
izi = cnt(2,idz);
cnt(2,idz) = nan;
idz = idz+izi+1;
end
plot(cnt(1,:),cnt(2,:))