Mongodb递归查询成树状结构

Question

我的文档具有以下结构：

[{
    "_id": "1",
    "prop1": "..."
}, {
    "_id": "2",
    "prop1": "...",
    "derivationOf": "1"
}, {
    "_id": "3",
    "prop1": "...",
    "derivationOf": "1"
}, {
    "_id": "4",
    "prop1": "...",
    "derivationOf": "3"
}, {
    "_id": "5",
    "prop1": "...",
    "derivationOf": "4"
}]

我想执行一个检索查询，该查询将生成具有相同数据的树状版本，如下所示：

{
    "_id": "1",
    "prop1": "...",
    "children": [{
        "_id": "2",
        "prop1": "...",
        "children": []
    }, {
        "_id": "3",
        "prop1": "...",
        "children": [{
            "_id": "4",
            "prop1": "...",
            "children": [{
                "_id": "5",
                "prop1": "...",
                "children": []
            }]
        }]
    }]
}

我看过$graphLookup和this question，但没有取得太大的成功。

有人知道如何通过mongodb查询实现这一目标吗？