实现最小凸包的算法有多种方法,其中一种常见的方法是使用Graham扫描算法。下面是用Matlab实现Graham扫描算法找到最小凸包的示例代码:
function [convexHull] = grahamScan(points)
% 找到包含所有点的最小凸包
n = length(points);
% 找到y坐标最小的点作为起始点
[~,idx] = min(points(:,2));
startPoint = points(idx,:);
% 基于起始点的极角排序
angles = atan2(points(:,2) - startPoint(2), points(:,1) - startPoint(1));
[~, order] = sort(angles);
% Graham扫描算法
stack = [];
stackSize = 0;
stack(1) = order(1);
stack(2) = order(2);
stackSize = 2;
for i = 3:n
while(stackSize >= 2 && crossProduct(points(stack(stackSize),:), points(stack(stackSize-1),:), points(order(i),:)) <= 0)
stackSize = stackSize - 1;
end
stackSize = stackSize + 1;
stack(stackSize) = order(i
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