Draw contourslice on patch surface

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I am trying to get the XData and YData on a contourslice in matlab. I want this contourline to be on a patch that I have already made in 3D. The patch corresponds to a rectangular plane orthogonal to the -x axis rotated about the y axis from -x by some angle dphi. I have provided some of my code below with images.
AoAd = 45;
Ty = 1/2*cosd(AoAd); % wing position in y
Tz = 1/2*sind(AoAd); % wing position in z
yslice = [Ty, Ty, -Ty, -Ty]+[1/2, 1/2, -1/2, -1/2];
zslice = [-Tz, Tz, Tz, -Tz]+[-1/2, 1/2, 1/2, -1/2];
xslice = -.15;
S = [xslice*ones(size(yslice));
yslice;
zslice];
dphi = 7.5; % degrees
MR = [[cosd(dphi) 0 -sind(dphi) 0];...
[0 1 0 0];...
[sind(dphi) 0 cosd(dphi) 0];...
[0 0 0 1]];
S_prime = MR*[S,[0,0,0]';
[0,0,0,0],1];
x = S_prime(1,1:4);
y = S_prime(2,1:4);
z = S_prime(3,1:4);
figure
hold on
patch(x,y,z,'r')
cc = contourslice(Xw,Yw,Zw,D_ta,z,y,x,[-3,-3],'linear');
Now, I expect the there two be a single iso-line on the red patch. But instead I get several iso-lines that look orthogonal to the red patch. Can I get some help figuring out what I'm doing wrong here.
It seems to me that the smaller region is at least on a parallel plane but I don't know why the others aren't.
Addendum:
I also tried using the XYZ data from patch and this was the result. Still not on the plane, and there are some slices on different planes.
figure
hold on
p = patch(x,y,z,'r');
xp = p.XData;
yp = p.YData;
zp = p.ZData;
cc = contourslice(Xw,Yw,Zw,D_ta,xp,yp,zp,[-3,-3],'linear');
  2 Comments
darova
darova on 3 Aug 2019
Just to clarify: you want to project your data onto red plane?
Nathaniel H Werner
Nathaniel H Werner on 3 Aug 2019
Edited: Nathaniel H Werner on 3 Aug 2019
Yes, I am trying to get a volume slice of the data on the red patch. If you can't run the code try using the built in flow or peaks.

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Accepted Answer

darova
darova on 3 Aug 2019
Try to refine mesh of your plane
I attached a simple example (help example modified)
Can you attach your data
  16 Comments
darova
darova on 6 Aug 2019
Maybe you wanted slice of XZ plane? I like it more
img2.png img3.png
Nathaniel H Werner
Nathaniel H Werner on 6 Aug 2019
The right image looks exactly like what I need, the red planes are XY or YZ planes rotated around the Y axis. Does the new Untitled3 script make that figure?

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R2018b

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