Hi all,
I want to find the x and y values that maximize the following expression.
Delta_i's are numeric values and R_i's are in terms of x and y.
Thank you!
MATLAB: Finding x & y-values that maximize an expression!!!!
estimatemaximizing
Related Solutions
one way to do it:
clc;clearxy = rand(100,2);plot(xy(:,1),xy(:,2),'b.')hold ont = linspace(0,2*pi);plot(.5+.25*cos(t),.5+.25*sin(t),'r-')axis squarer = hypot(xy(:,1)-.5,xy(:,2)-.5);plot(xy(r<=.25,1),xy(r<=.25,2),'go')Try this:
% Create sample data.
numCircles = 10;xy = rand(numCircles, 2);radii = 0.1 * rand(numCircles, 1) + 0.1;viscircles(xy, radii);% Label them so we know what circle is what.
for k = 1 : numCircles text(xy(k, 1), xy(k, 2), num2str(k));endaxis square;% See if any intersect
for k = 1 : numCircles % Compute the distance between centers.
distances = sqrt((xy(k, 1) - xy(:, 1)).^2 + (xy(k, 2) - xy(:, 2)) .^2); sumOfRadii = radii(k) + radii(:); intersectingIndexes = distances < sumOfRadii; % Don't compare circle to itself. Of course that one intersects!
intersectingIndexes(k) = false; % Convert to linear indexes
intersectingIndexes = find(intersectingIndexes); for k2 = 1 : length(intersectingIndexes) fprintf('Circle %d intersects with circle #%d.\n', k, intersectingIndexes(k2)); endend
You see
Circle 1 intersects with circle #2.
Circle 1 intersects with circle #5.
Circle 1 intersects with circle #7.
Circle 2 intersects with circle #1.
Circle 2 intersects with circle #5.
Circle 3 intersects with circle #7.
Circle 3 intersects with circle #9.
Circle 5 intersects with circle #1.
Circle 5 intersects with circle #2.
Circle 6 intersects with circle #10.
Circle 7 intersects with circle #1.
Circle 7 intersects with circle #3.
Circle 8 intersects with circle #9.
Circle 9 intersects with circle #3.
Circle 9 intersects with circle #8.
Circle 10 intersects with circle #6.
and it's trivial to find out if one circle is completely contained within another. See if you can do it.
Best Answer