how to detect collision

Question

Borison ningthoujam 2018-5-24

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https://ww2.mathworks.cn/matlabcentral/answers/402351-how-to-detect-collision

编辑： Nicola Bombace 2018-5-24

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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Answer 1

Ameer Hamza 2018-5-24

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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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Answer 2

Nicola Bombace 2018-5-24

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https://ww2.mathworks.cn/matlabcentral/answers/402351-how-to-detect-collision#answer_321789

编辑：Nicola Bombace 2018-5-24

在 MATLAB Online 中打开

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