How to create a circle filled with equidistant points inside it?
28 Ansichten (letzte 30 Tage)
Ältere Kommentare anzeigen
Rushil Asthana
am 6 Okt. 2021
Kommentiert: Chunru
am 7 Okt. 2021
I want to create circle filled with equidistant points inside it. I have tried making the following program but it's taking too long to give output
radius = 100;
xc = 1;
yc = xc+1;
jc= 1;
jy=jc+1;
area = pi*radius*radius;
for i=xc:yc:area
theta = i*(2*pi);
r = sqrt(area)*radius;
for j=jc:jy:i
x = xc + r.*cos(theta);
y = yc + r.*sin(theta);
end
plot(x,y,'.')
end
5 Kommentare
Stephen23
am 6 Okt. 2021
Bearbeitet: Stephen23
am 6 Okt. 2021
@Rushil Asthana: because you did not mention anything about an optimal solution or any specific boundary requirements then this task is trivially easy: first generate a square grid of points large enough to cover the required circle, then simply discard those outside the circle. Reasonably efficient and should take only a few lines of code.
That will provide you with exactly what you asked for: points with exactly equal spacing all within a circle.
Akzeptierte Antwort
Chunru
am 7 Okt. 2021
Bearbeitet: Chunru
am 7 Okt. 2021
Here is a sub-optimal (or almost optimal) solution. Filled dots will form the hexagonal formation.
radius = 10;
d = 1; % distance
xall=[]; yall=[];
dy = sqrt(3)/2 * d;
ny = floor(radius/dy);
for i=-ny:ny
y = dy*i;
if rem(i, 2)==0
nx = floor((sqrt(radius^2 - y^2))/d);
x = (-nx:nx)'*d;
else
nx = floor((sqrt(radius^2 - y^2)-d/2)/d);
x = (-nx-0.5:nx+0.5)'*d;
end
xall = [xall; x];
yall = [yall; y*ones(size(x))];
end
plot(xall(:), yall(:), '.');
hold on
theta = 0:360;
plot(radius*cosd(theta), radius*sind(theta), 'r')
axis equal
3 Kommentare
Image Analyst
am 7 Okt. 2021
@Rushil Asthana, then could you please click the "Accept this answer" link to grant @Chunru the reputation points he deserves for helping you. Thanks in advance. 🙂
Weitere Antworten (0)
Siehe auch
Kategorien
Mehr zu Colormaps finden Sie in Help Center und File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!