how to detect collision
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how can i detect whether a point in 2D will collide with a circle when going to another.suppose i have to go from x1,y1 to x2,y2 and there is a circle with radius r centered at cx,cy. how can i check whether the straight line path from x1,y1 will touch the circle
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Ameer Hamza
le 24 Mai 2018
Based on the condition given here, you can write following statement to check whether the line touch the circle or not
C = [2 5];
r = 3;
X1 = [1 0];
X2 = [5 4];
coff = polyfit([X1(1), X2(1)], [X1(2), X2(2)], 1);
doesTouch = abs(coff(1)*C(1) + coff(2) - C(2))/norm([1 coff(1)]) < r;
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Nicola Bombace
le 24 Mai 2018
Modifié(e) : Nicola Bombace
le 24 Mai 2018
You could create a line between the points (x1,y1) and (x2,y2) in the form y = ax + b with polyfit and work out the slope and the intercept of the path. Then use the function linecirc and check the output. If the output is Nan, the path does not intersect the circle.
% input: x1 y1--> point 1
% x2 y2 --> point 2
% cx,cy,r --> coordinates center and radius of the circle
coefficients = polyfit([x1, x2], [y1, y2], 1);
a = coefficients (1);
b = coefficients (2);
[xout,yout] = linecirc(a,b,cx,cy,r);
if any(isnan(xout))
disp('The line does not intercept the circle')
else
disp('The line intercepts the circle')
end
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