MATLAB: Rho and theta for straight line with two end points

image processingrho theta

I have a straight line with two end points [-5.6392,6.935;-5.9014,4.56]. Could anyone please help to find out the rho (distance from the origin to the line along a vector perpendicular to the line) and theta(the angle of the perpendicular projection from the origin to the line measured in degrees clockwise from the positive x-axis) for this straight line.

Best Answer

There are two possibilities: using point A as the origin, and using point B as the origin. The rho will not change, but theta will be either pi larger or smaller.

You can use cart2pol, or even calculate it manually with x=rho*cos(theta);y=rho*sin(theta); (just do some algebra on your own to reverse the formula).

Related Solutions

MATLAB: How to define a function that evaluates in input

function y=T(theta_Degree)
theta=theta_Degree*pi/180;
y=[cos(theta)^2 sin(theta)^2 2*cos(theta)*sin(theta);sin(theta)^2 cos(theta)^2 -2*cos(theta)*sin(theta);-cos(theta)*sin(theta) cos(theta)*sin(theta) cos(theta)^2-sin(theta)^2];
end

Then type in command line

T(40)

and see the results.

MATLAB: How to shuffle two vectors

u = rand(1,10);
v = 10*rand(1,10);
uv = [u; v]; uv = uv(:)';

n = numel(u); uv([1:2:2*n-1 2:2:2*n]) = [u v];

Best Answer

Related Solutions

MATLAB: How to define a function that evaluates in input

MATLAB: How to shuffle two vectors

Related Question