Solved

Please see my code and diagram... how do I find the coordinates of intersection of circles

Posted on 2009-04-07
8
324 Views
Last Modified: 2016-02-10
Please find below the code that results in the screenshot below.
How do I get Matlab to tell me the intersections of the two circles?

thanks in advance
clear % all variables
figure(1), hold off
set(gca,'FontSize',14) % adjust fontsize
 
text(0,10,'\leftarrow RX2 (x3,y3)=(0,10)','VerticalAlignment','middle','HorizontalAlignment','left')
text(0,0,'\leftarrow RX1 (x3,y3)=(0,0)','VerticalAlignment','middle','HorizontalAlignment','left')
 
center4=[0,0];
radius4=11;
N4=100; % number of points (circle resolution)
hold on
H=circle(center4,radius4,N4,'r-');
 
center5=[0,10];
radius5=1;
N5=100; % number of points (circle resolution)
hold on
H=circle(center5,radius5,N5,'r-');
 
center6=[0,0];
radius6=15;
N6=100; % number of points (circle resolution)
hold on
H=circle(center6,radius6,N6,'r-');
 
center7=[0,10];
radius7=5;
N7=100; % number of points (circle resolution)
hold on
H=circle(center7,radius7,N7,'r-');

Open in new window

screener.jpg
0
Comment
Question by:jtiernan2008
[X]
Welcome to Experts Exchange

Add your voice to the tech community where 5M+ people just like you are talking about what matters.

  • Help others & share knowledge
  • Earn cash & points
  • Learn & ask questions
  • 4
  • 3
8 Comments
 
LVL 15

Expert Comment

by:yuk99
ID: 24090965
I can see it's from your discussion here:
http://www.experts-exchange.com/Other/Math_Science/Q_24296354.html

Do you really need a code for this? Can you see the intersections by eyes?

Let me give you this code, so you can set the intersections manually so see them clearly. Paste it at the end of your drawing code. You will see a cross cursor on the figure. Click on the circles intersections you need. When you finish press Enter.
You can change line color and width as well as marker type and size as you wish.
[x,y]=ginput;
plot(x,y,'ro-','linewidth',2,'markersize',10)

Open in new window

0
 
LVL 15

Expert Comment

by:yuk99
ID: 24091360
OK, if you really want to do it automatically, here is another fileexchange submission you need:
http://www.mathworks.com/matlabcentral/fileexchange/11837
0
 
LVL 1

Author Comment

by:jtiernan2008
ID: 24091452
thanks a million...

I dont think I am using the code correctly.

I have attached in the code box below. Can you please have a look and see what I am doing wrong?


clear % all variables
figure(1), hold off
set(gca,'FontSize',14) % adjust fontsize
 
text(0,10,'\leftarrow RX2 (x3,y3)=(0,10)','VerticalAlignment','middle','HorizontalAlignment','left')
text(0,0,'\leftarrow RX1 (x3,y3)=(0,0)','VerticalAlignment','middle','HorizontalAlignment','left')
 
center4=[0,0];
radius4=11;
N4=100; % number of points (circle resolution)
hold on
H=circle(center4,radius4,N4,'r-');
 
center5=[0,10];
radius5=1;
N5=100; % number of points (circle resolution)
hold on
H=circle(center5,radius5,N5,'r-');
 
center6=[0,0];
radius6=15;
N6=100; % number of points (circle resolution)
hold on
H=circle(center6,radius6,N6,'r-');
 
center7=[0,10];
radius7=5;
N7=100; % number of points (circle resolution)
hold on
H=circle(center7,radius7,N7,'r-');
 
[X0,Y0] = intersections(0,0,0,10,true)

Open in new window

0
Get 15 Days FREE Full-Featured Trial

Benefit from a mission critical IT monitoring with Monitis Premium or get it FREE for your entry level monitoring needs.
-Over 200,000 users
-More than 300,000 websites monitored
-Used in 197 countries
-Recommended by 98% of users

 
LVL 15

Expert Comment

by:yuk99
ID: 24091505
No, X1, Y1,X2 and Y2 are not the centers of your circles. Those are vectors for X and Y data of your curves that are circles itself. You need to extract them from your circles. Here is the code for one circle.
Note as I found sometimes it actually misses an intersection when curves just touch each other.

H1=circle(center,radius,N);
X1=get(H1,'XData');
Y1=get(H1,'YData');

Open in new window

0
 
LVL 1

Author Comment

by:jtiernan2008
ID: 24091682
I tried as per the code box but the text is distorted and also is it possible to get the coordinates printed on the screen?
clear % all variables
figure(1), hold off
set(gca,'FontSize',14) % adjust fontsize
 
text(0,10,'\leftarrow RX2 (x3,y3)=(0,10)','VerticalAlignment','middle','HorizontalAlignment','left')
text(0,0,'\leftarrow RX1 (x3,y3)=(0,0)','VerticalAlignment','middle','HorizontalAlignment','left')
 
center4=[0,0];
radius4=11;
N4=100; % number of points (circle resolution)
hold on
H1=circle(center4,radius4,N4,'r-');
 
center5=[0,10];
radius5=1;
N5=100; % number of points (circle resolution)
hold on
H2=circle(center5,radius5,N5,'r-');
 
center6=[0,0];
radius6=15;
N6=100; % number of points (circle resolution)
hold on
H3=circle(center6,radius6,N6,'r-');
 
center7=[0,10];
radius7=5;
N7=100; % number of points (circle resolution)
hold on
H4=circle(center7,radius7,N7,'r-');
 
X1=get(H1,'XData');
Y1=get(H1,'YData');
 
X2=get(H2,'XData');
Y2=get(H2,'YData');
 
X3=get(H3,'XData');
Y3=get(H3,'YData');
 
X4=get(H4,'XData');
Y4=get(H4,'YData');
 
[X01,Y01] = intersections(X1,Y1,X2,Y2,1);
[X02,Y02] = intersections(X3,Y3,X4,Y4,1);
 
text(X01,Y01,'\leftarrow intersection', 'VerticalAlignment','middle','HorizontalAlignment','left')
text(X02,Y02,'\leftarrow intersection', 'VerticalAlignment','middle','HorizontalAlignment','left')

Open in new window

0
 
LVL 27

Accepted Solution

by:
d-glitch earned 250 total points
ID: 24091770
I think you might do a lot better with graph paper and a compass.
You should be able to see where the intersections are by eye well enough for this exercise.
You want to find enough points that you can draw the locus.  There is a predictable pattern.
The real goal is develop some intuition.  Matlab may be getting in the way.
0
 
LVL 15

Assisted Solution

by:yuk99
yuk99 earned 250 total points
ID: 24091869
d-glitch,
You are exactly right!!! :)
I didn't want to give the answer here originally. Just for the sake of the question.

jtiernan2008,
I appreciate your points and that you are trying to study Matlab. But I think your main purpose was to understand TOA principles.
0
 
LVL 1

Author Closing Comment

by:jtiernan2008
ID: 31618491
I am trying to learn both.
thanks for your help. I need to get graph paper and get working :)
thanks for your help
0

Featured Post

Independent Software Vendors: We Want Your Opinion

We value your feedback.

Take our survey and automatically be enter to win anyone of the following:
Yeti Cooler, Amazon eGift Card, and Movie eGift Card!

Question has a verified solution.

If you are experiencing a similar issue, please ask a related question

Having just graduated from college and entered the workforce, I don’t find myself always using the tools and programs I grew accustomed to over the past four years. However, there is one program I continually find myself reverting back to…R.   So …
If you haven’t already, I encourage you to read the first article (http://www.experts-exchange.com/articles/18680/An-Introduction-to-R-Programming-and-R-Studio.html) in my series to gain a basic foundation of R and R Studio.  You will also find the …
The goal of this video is to provide viewers with basic examples to understand and use conditional statements in the C programming language.
This theoretical tutorial explains exceptions, reasons for exceptions, different categories of exception and exception hierarchy.

696 members asked questions and received personalized solutions in the past 7 days.

Join the community of 500,000 technology professionals and ask your questions.

Join & Ask a Question