Graphing in Cylindrical Coordinates using MATLAB

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Mark
Mark 2012-4-29
Hello,
I want to reproduce this graph... http://i45.tinypic.com/121xra1.jpg ... using MATLAB.
It's the graph of g(r, theta) = 1 + r^2*sin(theta) over the unit circle.
Does anyone have any advice?
Thanks :)

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Geoff
Geoff 2012-4-30
Advice is to make a start and show us what you have done so far.
Here is my primer:
r = 0:0.1:1;
theta = linspace(0, 2*pi, 12);
You need to use meshgrid
doc meshgrid
And surf
doc surf
And a polar co-ordinate conversion
<insert high-school trigonometry>
The colour map is jet.
I think that's plenty to get you started =)
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Mark
Mark 2012-5-3
Thanks again for your comments.
I've got it to this:
r=0:0.1:1;
theta=linspace(0, 2*pi, 13);
[r,theta]=meshgrid(r,theta);
x=r.*cos(theta);
y=r.*sin(theta);
z=1+r.^2.*sin(theta);
mesh(x,y,z)
grid on
axis tight
view([300,30])
xlabel('x = r cos(\theta)')
ylabel('y = r sin(\theta)')
zlabel('g(r,\theta)')
title('Question 6(b)')
the only thing I can see that needs changing the the scaling on the axes
Geoff
Geoff 2012-5-3
Really?
I can see:
- Axis tick labels (and number of grid guides) not consistent with example;
- Colour of grid guides not consistent with example;
- Aspect ratio of default figure not consistent with example;
- Anti-aliasing of mesh lines not consistent with example;
- Background colour of figure not consistent with example.
I pointed out some of these things before. Aren't you lucky to stumble across a fussy old bugger like myself to make your life difficult =)

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