matlab怎么判断矩形有重叠部分

在MATLAB中，判断两个矩形是否有重叠部分，通常需要比较它们的边界。你可以通过比较矩形的左边界、右边界、上边界和下边界来实现。以下是一种基本的方法：

function isOverlap = checkOverlap(rect1, rect2)
    % 矩形1和2的边界信息
    [x1, y1, width1, height1] = getBBox(rect1);
    [x2, y2, width2, height2] = getBBox(rect2);

    % 计算每个矩形的左上角和右下角坐标
    ul1 = [x1, y1];
    lr1 = [x1 + width1, y1 + height1];
    ul2 = [x2, y2];
    lr2 = [x2 + width2, y2 + height2];

    % 判断是否相交
    isOverlap = ~((ul1(1) > lr2(1)) || (lr1(1) < ul2(1)) || ... % 左边界
                 (ul1(2) > lr2(2)) || (lr1(2) < ul2(2)));   % 上边界
    
    % 如果左上角和右下角都满足条件，则表示有重叠
    if isOverlap && intersectRect(ul1, lr1, ul2, lr2)
        isOverlap = true;
    end
end

function [x, y, width, height] = getBBox(rect)
    % 提取矩形的顶点坐标
    x = get(rect, 'XData');
    y = get(rect, 'YData');
    width = diff([x(1), x(end)]);
    height = diff([y(1), y(end)]);
end

function intersects = intersectRect(rect1, rect2)
    % 函数用于检查两个矩形是否完全重叠
    intersects = (min(rect1(:,1)) <= max(rect2(:,1))) && ...
                 (min(rect1(:,2)) <= max(rect2(:,2))) && ...
                 (max(rect1(:,1)) >= min(rect2(:,1))) && ...
                 (max(rect1(:,2)) >= min(rect2(:,2)));
end

上述代码定义了一个`checkOverlap`函数，它首先获取两个矩形的边界信息，然后检查它们的左上角和右下角是否交叉。如果交叉，再调用`intersectRect`函数进一步确认是否存在重叠。