最小圆覆盖matlab
时间: 2023-08-20 16:14:33 浏览: 68
最小圆覆盖算法的MATLAB代码如下所示:
```MATLAB
function [center, radius] = minCircleCover(points)
n = size(points, 1);
center = [0, 0];
radius = 0;
for i = 1:n
if ~isInsideCircle(points(i, :), center, radius)
center = points(i, :);
radius = 0;
for j = 1:i-1
if ~isInsideCircle(points(j, :), center, radius)
center = (points(i, :) + points(j, :)) / 2;
radius = norm(points(i, :) - points(j, :)) / 2;
for k = 1:j-1
if ~isInsideCircle(points(k, :), center, radius)
[center, radius] = circumCircle(points(i, :), points(j, :), points(k, :));
end
end
end
end
end
end
end
function inside = isInsideCircle(point, center, radius)
inside = norm(point - center) <= radius;
end
function [center, radius] = circumCircle(point1, point2, point3)
a = point2 - point1;
b = point3 - point1;
c = 2 * (a(1) * b(2) - a(2) * b(1));
d = norm(point1)^2 - norm(point2)^2;
e = norm(point1)^2 - norm(point3)^2;
center = [(b(2) * d - a(2) * e) / c, (a(1) * e - b(1) * d) / c];
radius = norm(center - point1);
end
```
这段代码实现了最小圆覆盖算法,通过遍历点集中的每个点,判断是否在当前最小圆内,如果不在,则更新最小圆的圆心和半径。然后再固定一个点,找到第一个不在当前最小圆上的点,更新最小圆的圆心和半径。最后再固定两个点,找到第一个不在当前最小圆上的点,计算出通过这三个点的外接圆。这样就可以得到最小圆的圆心和半径。
请注意,这只是最小圆覆盖算法的MATLAB实现,具体的应用场景和输入数据需要根据实际情况进行调整。