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Quadkey 備忘録

Last updated at Posted at 2021-05-31

雑に書いた

地球は周囲40,075Km

Quadkey

ズームレベル(Quadkey桁数) タイル一辺の距離[Km] [m]
0 40,075[Km] 40,075017[m]
1 20,037[Km] 20,037508[m]
2 10,018[Km] 10,018754[m]
3 5,009[Km] 5,009377.1[m]
4 2,504[Km] 2,504688.5[m]
5 1,252[Km] 1,252344.3[m]
6 626.1[Km] 626172.1[m]
7 313.0[Km] 313086.1[m]
8 156.5[Km] 156543[m]
9 78.2[Km] 78271.5[m]
10 39.1[Km] 39135.8[m]
11 19.5[Km] 19567.9[m]
12 9.78[Km] 9783.94[m]
13 4.89[Km] 4891.97[m]
14 2.44[Km] 2445.98[m]
15 1.22[Km] 1222.99[m]
16 0.611[Km] 611.496[m]
17 0.305[Km] 305.748[m]
18 0.152[Km] 152.874[m]
19 0.076[Km] 76.437[m]
20 0.038[Km] 38.2185[m]
21 0.019[Km] 19.10926[m]
22 0.009[Km] 9.55463[m]
23 0.004[Km] 4.777315[m]
24 0.002[Km] 2.3886575[m]

Km = 40,075[Km] / 2^zoomLevel

Quadkey16桁の精度は0.611[Km]

もし2点間の距離をざっくりとでも求めたい場合(非推奨)

A = 11011011011011011111
B = 11011011011011022222

110110110110110の15桁は一致しているので
1辺の長さは1.22km

直角三角形斜辺の長さ = 辺 × 辺 × √2 より
3.45068 = 1.22×1.22×√2

この2つの距離は0<x<3.45068[Km]の範囲内にあると分かる

注意
A = 011111111111111111111
B = 100000000000000000000
は隣どうしだが,上記の方法で計算すると範囲は広くなる

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