Azzera filtri
Azzera filtri

How plot a grid of rectangles on an overlaid circle?

107 visualizzazioni (ultimi 30 giorni)
JM
JM il 20 Mag 2024 alle 16:48
Spostato: Matt J il 28 Mag 2024 alle 12:33
How to plot a circle of radius R and an overlaid grid of rectangles (with each rectangle of dimensions LxW)?
Choice of dimensions are so that the rectangular grid is larger than the dimeter of the circle and the centre of the circle is on one of the rectangle corners within the grid. The circle fully sits within the rectangular grid.
Secondly, from the plot or otherwise can Matlab help count the full rectangles within the circle?

Risposta accettata

Matt J
Matt J il 20 Mag 2024 alle 18:04
Modificato: Matt J il 20 Mag 2024 alle 18:14
R = 5; % circle radius
H = 1; % rect height
W = 2; % rect width
circ=nsidedpoly(1000,"Radius",R); %polyshape for the circle
Grid=scale(nsidedpoly(4,'Side',1,'Center',[+1,+1]/2),[W,H]);
Grid=arrayfun(@(i)translate(Grid,H*[0,i]),-ceil(R/H):ceil(R/H)-1)';
Grid=arrayfun(@(i)translate(Grid,W*[i,0]),-ceil(R/W):ceil(R/W)-1,'uni',0);
Grid=vertcat(Grid{:}); %polyshape vector for grid rectangles
numContained=sum( area(intersect(Grid,circ))>=area(Grid(1))*0.9999 ) %count contained rectangles
numContained = 28
plot([circ; Grid],'FaceColor','w'); axis equal
  13 Commenti
JM
JM il 22 Mag 2024 alle 14:18
Modificato: JM il 22 Mag 2024 alle 14:33
Upgrade, as much as I would want it, is beyond my control I am afraid
JM
JM il 22 Mag 2024 alle 16:03
Spostato: Matt J il 28 Mag 2024 alle 12:33
@Matt J. Thanks

Accedi per commentare.

Più risposte (1)

Voss
Voss il 20 Mag 2024 alle 17:31
R = 5; % circle radius
L = 1; % horizontal grid spacing
W = 2; % vertical grid spacing
C = [7 8]; % center of the circle
% calculate some points on the circle
th = linspace(0,2*pi,100);
xc = C(1)+R*cos(th);
yc = C(2)+R*sin(th);
% calculate the grid's x and y coordinates
xg = C(1)+W*(floor(-R/W):ceil(R/W));
yg = C(2)+L*(floor(-R/L):ceil(R/L));
% plot the circle
plot(xc,yc)
axis equal
% create the vertical grid lines
nx = numel(xg);
xdata = [xg;xg;NaN(1,nx)];
ydata = [repmat(yg([1 end]).',1,nx); NaN(1,nx)];
line(xdata,ydata,'Color','k')
% create the horizontal grid lines
ny = numel(yg);
ydata = [yg;yg;NaN(1,ny)];
xdata = [repmat(xg([1 end]).',1,ny); NaN(1,ny)];
line(xdata,ydata,'Color','k')
% count the rectangles completely inside the circle
n_rectangles_inside = nnz(conv2((xg-C(1)).^2+(yg.'-C(2)).^2 <= R^2,ones(2)) == 4)
n_rectangles_inside = 28

Prodotti


Release

R2018a

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by