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潟違祉ゃ
ユ遵医筝膩綺腟綺宴喝就潟吾篏帥激鴻祉ｃ帥 xml ｃ帥с膩綺腟綺宴篏帥GUI 篏帥ｃ若潟у医割喝就臀違茯綽荀
罨
若吟鴻若鴻吾潟
障膩綺腟綺ц；憗憜腥咲若吟鴻若鴻若違 SVG ｃ潟鴻鐚潟逸罔羣臀ц
罔羣
腱ユ遵医鰹罔羣鐚膩綺腟綺羌桁恩膩喝羂顔√亥宴ｃ若潟с若鴻с潟鴻宴若筝憜筝篏臀宴∫ｃャ綽荀ｃ贋腓冴篋綺ф茲井荐腟筝羝亥鎧膩綺紫綺遵医潟箙ｃ SVG 若句咲綺ф篁ヤｃ鐚罅違荐膊罘阪障障筝祉罅障ｃ鏄荐膊筝с号医с臀鐚
| 156.3774872575318 0 | | Longitude | | -19002.86850109733 |
| | . | | + | |
| 0 -193.6681389719065 | | Latitude | | 8981.692899798096 |
篁ヤс
f(pos) = Shr . Scl . Sig . pos + Tsl
| Longitude |
pos = | Latitude | (筝羝亥鎧腟綺膩綺)
| .8074507664898661 0 |
Shr = | 0 1 | 鐚膩膩劫膰鐚
| 193.6681389719065 0 |
Scl = | 0 193.6681389719065 | (筝∴燦罕鴻宴若潟違)
| 1 0 |
Sig = | 0 -1 | ( y 荵吾罩ｈ)
| -19002.86850109733 |
Tsl = | 8981.692899798096 | (綛活腱糸)
ゃ障医潟膩綺罩ｈ荵≪膩綺紫綺膣 194 膩膩劫膣 20 若祉潟膰с＜恰罕蕭膩綺祉∝紊с恰違蕭膩綺ｃ膩膩綺腟綵≪с鐚羌潔綛潟т綏鴻с鐚
荐祉с筝羝亥鎧 ITRF94 菴綛眼 WGS 84 祉с篁ュユ羝亥鎧鐚Tokyo Datum鐚ITRF94 с400＜若祉綏＜帥Google 筝羝亥鎧сMapion 医潟ユ羝亥鎧鐚2006綛12憜鐚
臀
ユ遵医鰹臀鐚医激鴻若鴻号柑罔羣≪潟吾後違臀с
臀篁ヤ茵ｃ鐚茹綺篏 degree鐚
g_m(u) = Scl2 . Rot . u + Tsl_m ＜ゃ潟
g_r(u) = Scl2 . Rot . u + Tsl_r 羃膰
g_n(u) = Scl2 . Rot . u + Tsl_n 拷
| x |
u = | y | (若吟鴻若剛)
| 1.7 0 |
Scl2 = | 0 1.7 | (1.7 ≦ぇ)
| cos (-12) -sin(-12) |
Rot = | sin (-12) cos(-12) | (12 綺荐荵≪)
| -2300 |
Tsl_m = | 300 | (綛活腱糸鐚筝肢)
| -1500 |
Tsl_r = | -5600 | (綛活腱糸鐚羃膰)
| -5900 |
Tsl_n = | 800 | (綛活腱糸鐚拷)
ゃ障医潟 12 綺綏荵≪膰罔 1.7 医ゃ若綛活腱糸с隙篁ヤ篏帥
| 1.6628509 0.3534499 | | Longitude | | -2300 |
| -0.3534499 1.662851 | . | Latitude | + | 400 | 筝肢
| 1.6628509 0.3534499 | | Longitude | | -1500 |
| -0.3534499 1.662851 | . | Latitude | + | -5600 | 羃膰
| 1.6628509 0.3534499 | | Longitude | | -5900 |
| -0.3534499 1.662851 | . | Latitude | + | 800 | 拷
若吟医割吾
紮医潟鴻篏帥ゃ障膩綺紫綺ャ医割吾莨若膂≦с違医∽違 SVG 若医潟鴻祉ｃ帥蚊ゃч遵篏臀с
罔羣翫
ユ遵医潟鐚罔羣鐚с援 135 綺腟膩膩 20 綺 膩 50 綺障у
<line x1="135" y1="20" x2="135" y2="50"
stroke="#000000" stroke-width="0.01"
transform="matrix( 156.3775, 0, 0, -193.6681,
-19002.869, 8981.693 )" />
違絎膩綺紫綺transform 絮с医割茯水с絎医就筝鐚喝с鐚帥膂≦潟違с
絖荐垩吾莨若羈綽荀сNagoya 絖綵≪紊с絎ゅ医就障ｃ≫с
<text id="Nagoya_City"
font-size="0.1"
x="136.906689"
y="35.180342"
text-anchor="middle"
transform="matrix( 156.3775, 0, 0, -193.6681,
-19002.869, 8981.693 )" >
Nagoya
</text>
障с違膣域昆阪障鴻鴻絲障絖若句咲後障鴻鴻膩綺紫綺筝y 荵吾罩ｈ鴻宴若潟違膩膩劫х軒綛活腱糸帥宴
f(fig+Pos) = Shr . Scl . Sig . (fig + Pos) + Tsl
= Shr . Scl . Sig . fig + Shr . Scl . Sig . Pos + Tsl
= Shr . Scl . Sig . fig + f(Pos)
fig: 鴻罕鴻鴻鴻絲障綺ф
Pos: x, y 絮 = 鴻憜腟綺膩綺
帥鴻鴻膩綺腟綺筝鴻喝就絲障綏
Sig^-1 . Scl^-1 . Shr^-1 . Scl
X^-1 X 茵
違腟
f(Sig^-1.Scl^-1.Shr^-1.Scl.fig + Pos)
= Shr.Scl.Sig.((Sig^-1 . Scl^-1 . Shr^-1 . Scl . fig) + Pos)+ Tsl
= Shr . Scl . Sig . Sig^-1 . Scl^-1 . Shr^-1 . Scl . fig +
Shr . Scl . Sig . Pos + Tsl
= Scl . fig + Shr . Scl . Sig . Pos + Tsl
= Scl . fig + f(Pos)
ｃ障鴻罩帥ｃ潟祉ссSig^-1 . Scl^-1 . Shr^-1 . Scl ゃ羆
| 1.238421 0 |
| 0 -1 |
с SVG у憗罨＜号
<defs>
<text id="Nagoya_City"
font-size="0.1" x="0" y="0" text-anchor="middle"
transform="matrix(1.238421,0,0,-1,0,0)">
Nagoya
</text>
</defs>
<use xlink:href="#Nagoya_City"
x="136.906689" y="35.180342"
transform="matrix( 156.3775, 0, 0, -193.6681,
-19002.869, 8981.693 )" />
defs с鴻篏 use 医潟臀
鴻＜潟綺ф鴻 0,0 с罧級с鴻喝就茵憜障 transform 絮с篏帥ｃ綏鐚Sig^-1 . Scl^-1 . Shr^-1 . Scl鐚罨＜鴻＜潟 use 若喝冴use x, y 絮с鴻＜潟違鴻筝緇use ＜潟 transform 絮с鴻喝就篏医割
сс帥ｃ潟祉Pos 隙医ゃ♂≫腴с筝箴 transform matrix 医割障鞘戎с鐚√膓荼鐚SVG 絨с医∽違亥亜сSVG 膓絆篁鴻
綽泣荐ｃ筝箴с鴻＜潟ф絖泣ゃ冴篏ゃ膩綺 1 綺綵激 1 後障SVG utf-8 篏帥сユ茯吾翫＜ゃ utf-8 т絖違
医激若吾泣ゃ削view port鐚紊с医潟≦ぇ 罩ｃ臀鐚医激肢；腓冴泣ゃэ
鐚羈鐚Sodipodi цtext-anchor middle 荐絎翫絖篏臀冴Inkscape Adbe SVG Viewer с緇сｃ
臀翫
臀筝潟違障筝羝亥鎧若吟鴻若鴻吾茵臀違
＜ゃ潟 g_m(f(pos)) = Scl_2 . Rot.(f(pos)) + Tsl_m
= Scl_2 . Rot.(Shr.Scl.Sig.pos + Tsl) + Tsl_m
羃膰 g_r(f(pos)) = Scl_2 . Rot.(f(pos)) + Tsl_r
= Scl_2 . Rot.(Shr.Scl.Sig.pos + Tsl) + Tsl_r
拷 g_n(f(pos)) = Scl_2 . Rot.(f(pos)) + Tsl_n
Scl_2 . Rot.(Shr.Scl.Sig.pos + Tsl) + Tsl_n
f( ): 若句咲吾 g_m, g_r, g_n: 臀∽ pos: x, y 絮 = 憜腟綺膩綺 Shr: 膩膩劫膰 Scl: 鴻宴若潟違 Sig: y 荵吾罩ｈ Tsl: 綛活腱糸
g_m, g_r, g_n 隙
| 260.0324 -68.45198 | | Longitude | | - 30724.359 |
| -55.27160 -322.0412 | . | Latitude | + | 21951.778 | ＜ゃ潟
| - 29924.359 |
鐚筝鐚 + | 23151.778 | 羃膰
| - 34324.359 |
鐚筝鐚 + | 22451.778 | 拷
罨＜箴ユ罔羣絖膩医潟＜ゃ潟鴻若鴻綣
<line x1="135" y1="30" x2="135" y2="40"
stroke="#000000" stroke-width="0.01"
transform="matrix(260.03244, -55.27160, -68.45198, -322.0412,
-30724.359, 21951.778)" />
茯水уゅ絽 Nagoya 絖帥
<text id="Nagoya_City"
x="136.906689" y="35.180342"
font-size="0.1"
text-anchor="middle"
transform="matrix(260.03244, -55.27160, -68.45198, -322.0412,
-30724.359, 21951.778)" >
Nagoya
</text>
絖с違膣違絖羂翫抗筝с鴻鴻絲障絖若句咲後臀鴻鴻膩綺紫綺筝y 荵吾罩ｈ鴻宴若潟違膩膩劫х軒綛活腱糸荵≪潟鴻宴若潟違喝抗茵腱糸帥宴
g_m(f(fig+Pos)) = Scl_2 . Rot . (Shr . Scl . Sig . (fig + Pos) + Tsl) + Tsl_m
= Scl_2 . Rot . Shr . Scl . Sig . fig +
Scl_2 . Rot . Shr . Scl . Sig . Pos +
Scl_2 . Rot . Tsl +
Tsl_m
= Scl_2 . Rot . Shr . Scl . Sig . fig + g_m(f(Pos))
y 荵吾罩ｈ荵≪膩膩劫х軒荵≪絖絲障莎激ｃ障с帥鴻鴻膩綺腟綺筝鴻喝就絲障綏
Sig^-1 . Scl^-1 . Shr^-1 . Rot^-1 . Scl
X^-1 X 茵
違腟
g_m(f(Sig^-1.Scl^-1.Shr^-1.Rot^-1.Scl.fig+ Pos))
= Scl_2.Rot.Shr.Scl.Sig.Sig^-1.Scl^-1.Shr^-1.Rot^-1.Scl.fig+
Scl_2.Rot.Shr.Scl.Sig.Pos +
Scl_2.Rot.Tsl +
Tsl_m
= Scl_2.Scl.fig +
Scl_2.Rot.Shr.Scl.Sig.Pos +
Scl_2.Rot.Tsl +
Tsl_m
= Scl_2.Scl.fig + g_m(f(Pos))
ｃ障鴻罩帥ｃ潟祉ссSig^-1 . Scl^-1 . Shr^-1 . Rot^-1 . Scl ゃ
| 1.211402 - 0.2574915 |
| - 0.2079117 - 0.9781476 |
с SVG у憗罨＜号
<defs>
<text id="Nagoya_City"
font-size="0.1" x="0" y="0"
text-anchor="middle"
transform="matrix(1.211402, -0.2079117, -0.2574915, -0.9781476,
0, 0)">
Nagoya
</text>
</defs>
<use xlink:href="#Nagoya_City"
x="136.906689" y="35.180342"
transform="matrix(260.03244, -55.27160, -68.45198, -322.0412,
-30724.359, 21951.778)" />
defs с鴻篏 use 医潟臀
鴻＜潟綺ф鴻 0,0 с罧級с鴻喝就茵憜障 transform 絮с篏帥ｃ綏鐚Sig^-1 . Scl^-1 . Shr^-1 . Rot^-1 . Scl鐚罨＜鴻＜潟 use 若喝冴use x, y 絮с違鴻筝緇use ＜潟 transform 絮с鴻喝就篏医割障鴻罩帥ｃ潟祉с
сс帥ｃ潟祉Pos 隙医ゃ♂≫腴с筝箴 transform matrix 医割障鞘戎с鐚√膓荼鐚
綽泣荐ｃ筝箴с鴻＜潟ф絖泣ゃ冴篏ゃ膩綺 1 綺綵激 1 後障SVG utf-8 篏帥сユ茯吾翫＜ゃ utf-8 т絖違
医激若吾泣ゃ削view port鐚紊с医潟≦ぇ罩ｃ臀鐚医激肢；腓冴泣ゃэ
鐚羈鐚Sodipodi цtext-anchor middle 荐絎翫絖篏臀冴Inkscape Adbe SVG Viewer с緇сｃ
医激肢；腓冴泣ゃ
SVG 若句咲 viewBox 若違綵≪医潟с罨＜ｃ
A膤糸 x-min=136.185, y-min=-864.696, width=4364.130, height=6172.106 B膤糸 x-min=136.185, y-min=-869.195, width=4364.130, height= 6181.102
緇絋膰罔罸違A 膤糸 B 膤糸х研罔罸違с障罔羣с臀с違
絎医激泣ゃ冴view port 若違綵≪у障SVG 若吟祉若吾с潟 GUI 違違若吾泣ゃ冴篁医潟 view port 罨＜ｃ
width="210mm" height="297mm" (A4)
veiwBox view port ｃ≦ぇ紫軒絨医激肢；腓冴ｃ若吾泣ゃ (view port) 紊眼医潟若吾＜障≦ぇ紫軒絨