How do i check if elements from my rows of vector are within range of one another

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Victor Falola 2022-10-27

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编辑： Jan 2022-10-27

I'm trying to write a code for collision detection of sphere's in my project. I have vector containing values for the edges of each sphere on just the x-axis. how do i check if any of the rows are within the range of one another? e.g:

There's a possible collision in row 4 and 5.

I'm really not sure how to go about this so any help would be apprietiated thanks.

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Jan 2022-10-27

编辑：Jan 2022-10-27

Colliding sphere should be easy to detect using the positions of their centers and their radius.

What do yo call "being in the range of a vector"? What are "values for the edges on the x-axis"? What is the mathematical argument for assuming collisions in the rows 4 and 5? Write this down to have an important part of the solution.

By the way, posting the data as text would allow to use them by copy&paste for a solution. A screen shot is the worst method to post code or data in the forum.

Torsten 2022-10-27

编辑：Torsten 2022-10-27

Hint:

For that M(i,:) and M(j,:) overlap, both max(M(i,:)) < min(M(j,:)) and max(M(j,:)) < min(M(i,:)) must be false.

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Answer 1

Jan 2022-10-27

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编辑：Jan 2022-10-27

在 MATLAB Online 中打开

With some bold guessing of what you want to achieve:

X = [ 0.2734, 0.1734; ...

-0.1671, -0.2671; ...

0.0753, 0.0247; ...

-0.2240, -0.3240; ...

-0.2640, -0.3640];

X = sort(X, 2); % Care for order of coordinates

plot(X.', [1:5; 1:5])

ylim([0, 10])

X1 = X(:, 1);

X2 = X(:, 2);

overlap = (X1 > X1.' & X1 < X2.') | (X2 > X1.' & X2 < X2.')

overlap = 5×5 logical array

0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0

Meaning: The 2nd row indicates, that the interval 2 overlaps with the intervals 4 and 5. The 5th row means, that the 5th interval overlaps with the intervals 2 and 4.