Convenient way to define a boundary
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Hi.
Question: Is there any convenient way to define a collection of points that may act as a MatlabFunction?
Context and more detail:
I am fiddling around with some billiard style problems. Basically i need a boundary (a box or space that particles exist in), that can be treated as a function which i can test for collisions with.
Currently i have created my boundaries by defining straight lines (y = mx + c), and then used polyfit on these lines so that i can treat them as a Matlab Function.
This works for the most part as i can successfully test when a particle has collided with a wall, but it is a bit clunky. Namely, some of the straight lines intersect other parts of the boundary, which causes problems in collision tests.
I am open for any ideas, suggestions or recommendations. Thank you!
Note:
I am developing original code for these 'simulations'. I am aware of some of the toolboxes available for this sort of thing, but again, trying to build a small simulation from scratch.
2 commentaires
KSSV
le 21 Juin 2017
Question is not clear....you have a group of points..you want to draw a boundary enclosing all the points?
Réponse acceptée
KSSV
le 21 Juin 2017
YOu can know whether the given point intersecting/ lying on the boundary using inpolygon. You can draw boundary enclosing the points in two ways.
- Exact boundary using the boundary function. If boundary doesn't exist (Introduced in R2014b) you can use convhull .
- You can draw a rectangle aka bounding box.
Check the below codes for each case.
N = 20 ;
x = rand(N,1) ;
y = rand(N,1) ;
%%Exact boundary
idx = boundary(x,y) ;
% idx = convhull(x,y) ;
% Check whether points intersecting boundary
[in,on] = inpolygon(x,y,x(idx),y(idx)) ;
figure
hold on
plot(x,y,'.b')
plot(x(idx),y(idx),'r')
plot(x(on),y(on),'Ok')
%%closed box
x0 = min(x) ; x1 = max(x) ;
y0 = min(y) ; y1 = max(y) ;
L = abs(x1-x0) ;
B = abs(y1-y0) ;
%
R = [x0 y0 ; x1 y0; x1 y1 ; x0 y1 ; x0 y0] ;
% Check whether points intersecting boundary
[in,on] = inpolygon(x,y,R(:,1),R(:,2)) ;
figure
hold on
plot(x,y,'.b')
plot(R(:,1),R(:,2),'r')
plot(x(on),y(on),'Ok')
1 commentaire
Paul White
le 9 Jan 2018
I am using the Kalman Filter to 2D track a single moving object. I have used the rectangle() function to make a boundary around the video. Can I use inpolygon to detect when this randomly moving object touches the rectangle boundary?
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