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Asked by Kaelyn
on 12 Oct 2013

I am writing a code that displays temperature variation. There is a triangle section cut off of a square(nxn) that is exposed to convection heat transfer. The part that is cut off is a 90 degree triangle between i and n-.6*i. I need help defining this section for every row because the slope is not in one row. The cut out part is after a certain meter distance.

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Answer by Image Analyst
on 13 Oct 2013

Edited by Image Analyst
on 13 Oct 2013

Do you mean like this:

clc; n = 100 % Create sample random data. myArray = randi(9, [n, n], 'uint8') + 100; subplot(2, 2, 1); imshow(myArray); title('Original Image', 'FontSize', 20);

% Chop off i by n-6*i triangle i = 4 xvertices = [0, n-6*i, 0]; yvertices = [0,0, i]; mask = poly2mask(xvertices, yvertices, n, n); subplot(2,2,2); imshow(mask); title('Mask Image', 'FontSize', 20);

out = myArray .* uint8(~mask); subplot(2,2,3); imshow(out); title('Output Image', 'FontSize', 20);

% Enlarge figure to full screen. set(gcf, 'Units', 'Normalized', 'OuterPosition', [0 0 1 1]);

Note: requires Image Processing Toolbox because of poly2mask.

Image Analyst
on 13 Oct 2013

Kaelyn's comment moved here, since it's not an answer to her original question, but a comment on mine.

**Yes but n and i will change according to the size of the mesh. The cut off of the triangle will be identified and used to calculate other temperatures. So I have been trying to use the mod function.**

Image Analyst
on 13 Oct 2013

n and i are variables in my code. You can change them. You can do everything with a for loop, instead of poly2mask(), if you want.

Answer by Youssef KHMOU
on 13 Oct 2013

Edited by Youssef KHMOU
on 13 Oct 2013

Kaelyn,

OK the problem now is clear , here is fast way

N=500; % more resolution better 2D heat conduction resolution .

H=ones(N);

M=flipud(triu(H)); % TOP RIGHT TRIANGLE surface(M); shading interp

Show 3 older comments

Answer by Youssef KHMOU
on 13 Oct 2013

N=1000; % 1 meter sampled with 1000 Hz p=0.6*N; % your 0.6 starting point .

M=zeros(N); % initial matrix

A=(N-p)/N; % the Coefficient for constructing the triangle

for n=1:N M(n,1:A*n)=1; end

## 3 Comments

## Youssef KHMOU (view profile)

Direct link to this comment:http://www.mathworks.com/matlabcentral/answers/90035#comment_173857

you mean the triangle has angles (45°,45°,90°)? can you explain where is the difficulty exactly ?

## Kaelyn (view profile)

Direct link to this comment:http://www.mathworks.com/matlabcentral/answers/90035#comment_173873

Yes, the triangle is at the top right corner of the square(nxn). I am having trouble identifying the cut off if the triangle on each row. The area is 1meter by 1meter and the missing area cut off is 1/2*.4^2. Giving a 45 degree angle.

## Image Analyst (view profile)

Direct link to this comment:http://www.mathworks.com/matlabcentral/answers/90035#comment_173875

If the triangle is formed by two sides and one side is "i" elements long, and the other side is "n-0.6*i" elements long, how is that a 45 degree angle for the hypoteneuse? To get 45 degrees, both sides would have to be the same length.