
How to get the intersection points ??
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Hi all, I have the following code to get the intersection points between these multiple lines and these multiple circles.
%%center of circles
X = [0.02 0.44; 0.08 0.58 ;...
0.22 0.57; 0.3 0.9; ...
0.44 0.79; 0.35 0.318;...
0.54 0.29; 0.95 0.11;...
0.93 0.7; 0.82 0.93];
C_M=[X(:,1) X(:,2)];
hold on
%%Assign labels to the points.
Assign_labels_to_all_points ( X ,X(:,1),X(:,2))
hold on
%%Draw circles
theta = linspace(0,2*pi) ;
x = 0.15*cos(theta) ; y =0.15*sin(theta) ;
C_M=[X(:,1),X(:,2)];
deg = 0 : 2.5 : 90;
for i=1:length(deg)
r =2;
x_ax = r*[zeros(size(deg(i))) cosd(deg(i))];
y_ax = r*[zeros(size(deg(i))) sind(deg(i))];
%%plot lines with different angles
plot(x_ax, y_ax, 'LineWidth',1.3)
for index = 1:length(C_M)
if ~isinf(C_M(index))
xx = x+C_M(index,1);
yy = y+C_M(index,2);
%%plot circles
plot(xx,yy,'-b','linewidth',1.5)
for j=1:length(deg)
P = InterX([x+C_M(index,1);y+C_M(index,2)],[r*[zeros(size(deg(j))) cosd(deg(j))];r*
[zeros(size(deg(j))) sind(deg(j))]]);
%%plot intersection points between lines and circles
plot(P(1,:),P(2,:),'or');
end
end
end
end
%%x and y axis limits
xlim([-0.2,1.2])
ylim([-0.2,1.2])
grid on
grid minor
I used the file exchange function InterX. It only draws the intersection points as the following image. But, I can't get these intersection points to store them in matrix or array.

So, my question is: How to get the intersection points between each line and the circles that intersected with that line and store them in array or matrix?? Any suggestions to modify this code??
1 commentaire
Image Analyst
le 1 Fév 2020
Original question (in case he delete this one also):
How to get the intersection points between (each line and the circles that intersected with that line)??
Hi all, I have the following code to get the intersection points between these multiple lines and these multiple circles.
%%center of circles
X = [0.02 0.44; 0.08 0.58 ;...
0.22 0.57; 0.3 0.9; ...
0.44 0.79; 0.35 0.318;...
0.54 0.29; 0.95 0.11;...
0.93 0.7; 0.82 0.93];
C_M=[X(:,1) X(:,2)];
hold on
%%Assign labels to the points.
Assign_labels_to_all_points ( X ,X(:,1),X(:,2))
hold on
%%Draw circles
theta = linspace(0,2*pi) ;
x = 0.15*cos(theta) ; y =0.15*sin(theta) ;
C_M=[X(:,1),X(:,2)];
deg = 0 : 2.5 : 90;
for i=1:length(deg)
r =2;
x_ax = r*[zeros(size(deg(i))) cosd(deg(i))];
y_ax = r*[zeros(size(deg(i))) sind(deg(i))];
%%plot lines with different angles
plot(x_ax, y_ax, 'LineWidth',1.3)
for index = 1:length(C_M)
if ~isinf(C_M(index))
xx = x+C_M(index,1);
yy = y+C_M(index,2);
%%plot circles
plot(xx,yy,'-b','linewidth',1.5)
for j=1:length(deg)
P = InterX([x+C_M(index,1);y+C_M(index,2)],[r*[zeros(size(deg(j))) cosd(deg(j))];r*
[zeros(size(deg(j))) sind(deg(j))]]);
%%plot intersection points between lines and circles
plot(P(1,:),P(2,:),'or');
end
end
end
end
%%x and y axis limits
xlim([-0.2,1.2])
ylim([-0.2,1.2])
grid on
grid minor
I used the file exchange function InterX. It only draws the intersection points as the following image. But, I can't get these intersection points to store them in matrix or array.

So, my question is: How to get the intersection points between each line and the circles that intersected with that line and store them in array or matrix?? Any suggestions to modify this code??
Réponse acceptée
Matt J
le 17 Août 2018
Modifié(e) : Matt J
le 17 Août 2018
Can't you just modify as follows,
P{i,j} = InterX([x+C_M(index,1);y+C_M(index,2)],[r*[zeros(size(deg(j))) cosd(deg(j))];r*
[zeros(size(deg(j))) sind(deg(j))]]);
%%plot intersection points between lines and circles
plot(P{i,j}(1,:),P{i,j}(2,:),'or');
6 commentaires
Matt J
le 18 Août 2018
This will give you a map of where the non-empty P{i,j} lie
map=~cellfun('isempty',P)
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