An error while using polyxpoly for finding (xi,yi) of an intersecting line and circle
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Hello,
I need to connect point 2 and point 1 and find all the intersecting points(between red line and blue line/circle), So, I used polyxpoly. My problem is why polyxpoly function generates an extra intersecting point which is not on the line or the circle (I show it in the below image)?
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/367948/image.jpeg)
My data
%Data
clear variables
clc
% points
x_points=[1;3];
y_points=[1;5];
% line coordinates
x_line=[3;2];
y_line=[3;5];
% Circle coordinates
xcenter = 2;
ycenter = 2;
radius = 1;
circr = @(radius,rad_ang) [radius*cos(rad_ang)+xcenter; radius*sin(rad_ang)+ycenter];
N = 2000;
rad_ang = linspace(0, 2*pi, N);
xy_r = circr(radius,rad_ang);
x_circle= radius * cos(rad_ang) + xcenter;
y_circle= radius * sin(rad_ang) + ycenter;
circle=round([x_circle',y_circle'],2);
% all points
All(:,1)=[x_points;x_line];
All(:,2)=[y_points;y_line];
% I want to calculate the intersection coordinates between a line contacting curret point/next point and
% circle/line
current_point=2
next_point=1
[xi,yi]=polyxpoly(All([next_point;current_point],1),...
All([next_point;current_point],2),[x_line;circle(:,1)], [y_line;circle(:,2)])
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Réponse acceptée
Pratyush Roy
le 1 Oct 2020
Hi,
The x co-ordinates as well as the y co-ordinates of the line and the circle should not be combined as this generates a complicated polygon and a new solution is found other than the expected ones.
As a workaround one can use the polyxpoly function twice to generate two sets of solutions which together will provide the expected solution.
[xi,yi]= polyxpoly(All([next_point;current_point],1),...
All([next_point;current_point],2),circle(:,1),circle(:,2));
[xj,yj]=polyxpoly(All([next_point;current_point],1),...
All([next_point;current_point],2),x_line,y_line);
Here [xi,yi] will give us the points of intersection between the line and the circle and [xj,yj] will give us the point of intersection between the two lines.
Hope this helps!
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