December 2016
Intermediate to advanced
440 pages
9h 44m
Japanese
Content preview from アルゴリズムクイックリファレンス 第2版
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10.8
R
木
■
353
●
非葉のすべてのエントリ
(I, child
i
)
では、
I
が子節点の長方形すべてを空間的
に含む最小長方形である。
●
根は（葉でない限り）少なくとも
2
つの子を持つ。
●
すべての葉は、同じレベルにある。
R
木
は、上の性質を保証する平衡構造である。便宜上、葉のレベルをレベル
0
と
考え、根のレベル数を木の高さとする。
R
木
構造は、
O(log
m
n)
で挿入、削除、ク
エリをサポートする。
本書のコードリポジトリには、
R
木
の振る舞いを調べるアプリケーション例
＊
1
が
含まれている。図10-17は、
M
＝
4
個の図形を含んだ
R
木
に長方形
6
を追加したと
きの動的な振る舞いを示す。見てわかるように、新たな長方形を作成する余地がな
いので、葉
R1
は
2
つの節点に分割される。このとき、新たな非葉
R2
の領域を最小
にするという基準で分割が行われる。この長方形の追加は、新たな根、
R3
を作る
ので、
R
木
の高さを
1
増やす。
図10-17 R 木の挿入例
10.8.1
入出力
2
次元
R
木は、デカルト平面上の長方形領域の集まりを格納する。それぞれが（任
意の）一意な識別子を持つ。
R
木
演算は、ある長方形領域または領域の集まりを見つけるだけでなく、
R
木
の
状態を変更（すなわち、挿入や削除）する。
＊1 訳注：PythonCode.demo フォルダにある
app_R_range.py
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O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.Julian F.
I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.Amir M.
I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.