matlab 生成八叉树

以下是使用Matlab生成八叉树的示例代码：

% 生成八叉树的递归函数
function tree = create_octree(data, range, threshold)
    % 判断当前范围内的数据是否满足分割条件
    if numel(data) <= threshold || isequal(range(1,:), range(2,:))
        tree = struct('data', data, 'range', range, 'isLeaf', true);
    else
        % 将当前范围分割成8个子范围
        mid = (range(1,:) + range(2,:)) / 2;
        subranges = [
            range(1,:) mid;
            mid+eps range(2,:);
            range(1,:) + [mid(1)-range(1,1) 0 0] [mid(2:3)-range(1,2:3)];
            range(1,:) + [0 mid(2)-range(1,2) 0] [mid(1)-range(1,1) mid(3)-range(1,3)];
            range(1,:) + [0 0 mid(3)-range(1,3)] [mid(1:2)-range(1,1:2)];
            range(1,:) + [mid(1)-range(1,1) mid(2:3)-range(1,2:3)];
            range(1,:) + [mid(1:2)-range(1,1:2) mid(3)-range(1,3)];
            mid [range(2,2:3)-mid(2:3)] [range(2,1)-mid(1)]
        ];
        % 对8个子范围递归调用本函数
        for i = 1:size(subranges, 1)
            indices = find(all(bsxfun(@ge, data, subranges(i,1:3)), 2) & all(bsxfun(@le, data, subranges(i,4:6)), 2));
            if ~isempty(indices)
                tree.subtrees{i} = create_octree(data(indices,:), subranges(i,:), threshold);
            else
                tree.subtrees{i} = struct('data', [], 'range', subranges(i,:), 'isLeaf', true);
            end
        end
        tree.isLeaf = false;
    end
end

该函数将输入数据分割成8个子范围，并递归调用自身来生成子树。如果当前范围内的数据量小于等于阈值，则将当前节点标记为叶节点。最终返回生成的八叉树结构体。