Method for converting vietnamese coordinate system INDIAN to VN 2000

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TRUONG DAI HOC CAN THO . . CANTH 0 UNIVERSITY T,p chi KHOA HOC - Journal of Science ISS ~I .. .. , . .o:i!~n~~!!j)"J). .1" ". .000iiI.~~iii~~~~ , sodinhky 14nam2010 Volume: 14.2010

Transcript of Method for converting vietnamese coordinate system INDIAN to VN 2000

TRUONG DAI HOC CAN THO. .CANTH 0 UNIVERSITY

T,p chi

KHOA HOC-Journal of Science

ISS~I .. ..,. .o:i!~n~~!!j)"J)..1" " ..000iiI.~~iii~~~~

,sodinhky 14nam2010

Volume:14.2010

T,p chi KHOA HqC

TAng bien t~pPOs. Ts. Nguy€n Anh .Tuk

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T(lp chi Khoa h(Jc 2010: 14 Trlf(yng D(li h(JC can Thc1

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BitiThiNgavaLamQuacVi~t 278PHUONG PHAP CHUYEN DOl TQA DO BAN DO n) HI?;QUY CHIEU INDIAN 1960SANGVN2000

. Trt/angChiQuang,Ie TrungChc1nva VaQuangMinh 288Budc DAu NGHIENCOO TOONGHIBMsAN xuA T SI-ROTlr TRAISIMRUNG

Nguyln Minh ThUy h h 294

ii

T~p chi Khoa hflC 2010: 14 288-293 Tnritng D~i hflC can The!

PHUONG PHAP CHUYEN DOl TOA DO BAN DOTiT' H~ QUY CHIEU INDIAN 1960'SANG VN 2000

Tnrong Chi Quanl, Ie Trung Chan2va ViiQuang Minh!

ABSTRACT

Before 1975 the map data sources of South of Vietnam was made on INDIAN 1960coordinate system. However, the VN 2000 coordinate system has become the officialsystem since 2001, that lead to the need for transformation of reference system betweenthese systems. This result presents and evaluates among two methods for converting thecoordinates system from INDIAN 1960 to VN 2000 system. The first method bases onMolodensky formula to convert datafrom INDIAN 1960 to VN2000 through WGS84. Thesecond method uses MapInfo with a new declaringfor VN 2000. Compare the results oftwo methods with the result ofGEOTOOL (recommended by Ministry of NaturalResourcesand Environment)in converting from VN 2000 to WGS 84 to verifY the reliabilitythatshowed the longitude deviation was O,lm and 0,5m for two methods. The differenceresults converted of Molodensky formula with the results ofGEOTOOL was O.lm by x-coordinate and 1m by y-coordinate, while the differences when using MapInfo was 0.5and 1m. The results coordinate convertedfrom INDIAN 1960 to VN2000 of both methodsshowed the x-coordinate deviation was 0.1 m and the y-coordinate deviation was 1m.Which shows the Molodensky method gives the higher accurate than MapInfo, butMapInfo software can convert many vector format maps. It is a good convenientfor users.Keywords: Convertingcoordinatesystem, Indian 1960, VN 2000, Indian 1960to VN 2000

Title: Methodsfor converting coordinate system/rom INDIAN 1960 to VN 2000

TOM TAT

Nguim bim a6 a MiJn Nam trzrac nam 1975 azr(1cxdy dtplg tren h~ INDIAN 1960. Tirnam 2001, vi~c quy ajnh su- d1jng h~ VN 2000 a(lt ra nhu cdu chuyin a6i h~ quy chiiu qualr;dgiiia hai h~ nay. Bai viit aJ xudt va a(mh gia hai phzrong phap chuydn a6i t(Ja aQ tu h?INDIAN 1960 sang VN 2000. Thu- nhdt, su- d1jng c6ng thu-c tinh chuyin t(Ja aQ

Molodensky tu h~ INDIAN 1960 sang VN 2000 qua trung gian h~ WGS 84. Phzrang phapthu- 2 khai bao b6 sung lzrai chiiu VN 2000 tren MapInfo ai chuyin a6i bang phdn mim.Kdm tra aQ tin c~ cua ca hai phzrang phap bang cach so sanh hai kit qua chuyin tu h?VN 2000 sang WGS 84 vai kit qua ctia phdn mim GEOTOOL do BQ Tai Nguyen va MoiTrzrang cung cap. Kit qua cho thtiy dung c6ng thu-c Molodensky sai l~ch vi t(Ja aQphzrang x va y ldn Izr(1t la 0.1 va 1m so val phdn mJm GEOTOOL, trong khi dungMapInfo sai l~ch la 0.5 va 1m. Kit qua chuyin a6i cac aiim t(Ja aQ tu INDIAN 1960 sangVN 2000 bang hai phzrang phap cho thtiy aQ l~ch Ian nhau vi kinh aQ khoang 0.1m, aQl~ch VI aQ vao khoang 1m. Qua ao cho thtiy su- d1jng c6ng thu-c Molodensky cho kit quachinh xac cao han so val MapInfo, tuy nhien MapInfo lr;licho phep chuy€n a6i azrr;c bana6 vector va nhiiu ajnh dr;mgban a6 khac nhau nen thUlJnti~n han cho ngzrai su- d1jng.

Tir kllOti: Chuyin alii h? quy chi/u, Indian 1960, VN 2000, chuyin Indian 1960 sangVN 2000

1Khoa Moi TruOng & Hi Nguyen Thien Nhien, TruOng E>~hQcCfuJTho2 BQ mon E>iaTin HQc, Khoa Ky Thu~t Xay Dl,IIlg, TruOng E>~ hQCBach Khoa Thanh Ph3 H6 Chi Minh

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1 B~TVANDE

Tir nam 2001 Thti Tu6TIg chinh phti da kY thong ill ap d\Ulg h~ quy chi~u qu6c giaVN 2000 trong xay d\ffig ban dc3(, Vi~t Nam (T6ng CI,1Cdia chinh, 2003). Tuynhien, nguc3n dft li~u ban dc3(, mi~n Nam Vi~t Nam wac day da phfut duQ'c xayd\ffig tren h~ quy chi~u INDIAN 1960. D~ sir d\Ulg duQ'c nguc3n dft li~u cO ~t ranhu cAll chuy~n d6i nguc3n dft li~u s6 gifta 2 h~ nay. Hi~n nay BQ Tai Nguyen vaMoi TruOng chua co cong CI,1chinh thuc d€ chuy~n d6i dinh d~g dft li~u s6 giftahIDh~ tren. Ben c~ do cac phfut m~m GIS l~i chua h6 trQ'h~ quy chi~u VN 2000.Tir th\lC t~ tren bai vi~t trinh bay va so saM cac phUO1lgphap nhfun d~ xu!tphUO1lgan t6t cho vAn d~ chuy~n d6i nguc3ndft li~u s6 gifta hai h~ quy chi~u mly.

2 PHUONG TI~N, PHUONG PHAp

2.1 PhtfO'Dg ti~n- MAnhban dc3dia hinh 1:10000 thuQcM INDIAN 1960 khu V\fCCfutThO".

- Phfut m~m GEOTOOL, phfut m~m EXCEL, phfut m~m MAPINFO.

2.2 PhtfO'Dg phap

Buac 1: Ki~m chUng dQ tin c~y ctia cong thuc Molodensky va cong cl,1MapInfo:Sir d\Ulg 3 phUO1lgphap d~ chuy~n tQa dQ cac di~m khao sat tir VN2000 sangWGS84 d~ so saM k~t qua nhfun dam baD S\l tin c~y ctia tUng phUO1lgphap:

- PhuO1lg phap thu nh!t IIIdUng phfut m~m Geotool: Day la phfut m~m do BQ TaiNguyen Moi TruOng cung cApd~ chuy~n d6i di~m tQa dQ gifta WGS 84 vll VN2000. Theo T6ng CI,1CDia Chinh (2001) Cong thuc tinh chuy~n tQa dQ X, Y, Ztrong h~ WGS-84 qu6c t~ sang X', y', z' trong h~ VN-2000 theo cong thuc:

{

X'=-~o +k.(X-roo.Y +'IIo.Z)

Y::~t1Yo +k.~oX+ Y -Eo.Z)Z - l1Zo+ k( 'VoX+ Eo.Y+ Z)

Trongdo:k IIItY1~bi~n d~g chi~udllicua H~ WGS-84 qu6c t~ so vai H~ VN-2000,

(roo, '110,Eo)IIIgoc quay a-Ie ctia trI,lctQadQH~ WGS-84 qu6c t~ so vo; H~VN-2000,

(f1Xo,t1Yo, l1Z0)IIItQadQtam ctia H~ WGS-84 qu6c t~trong H~ VN-2000.

- Tinh chuy€n bfuIgcong thuc Molodensky rut gQntren Excel.

Cong thuc quan h~ du<;Jcxac dinh nhu sau:

B2 =B] + L1B

L2 =L] + L1L

H2 =H] + &I

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Cong thuc Molodensky tinh cac s6 gia: L1B,LiL,LJH

Trong do: Bl, B2: Kinh dQtrilc dia M A va M B

M +H M3I 1

1p -Ne2 sin BcosB

N+H a-cosBM

pAll

0aN

(~M +~N }inBcosB0

!:Nsin2 Ba

[

Aa

]+

Aa A->B

AA->B

[

- sin B cosL - sin B sin L cosB

] [

AX

]

+ -sinL cost 0 AY

cos B cosL cos Bsin L sin B A AZ A->B

Ll, L2: VidQ dia Iy M A vaM B

HI, H2: Cao dQdia ly h~ A va M B

M: Ban kinh cong kinh tuy~n

N: Ban kinh cong vituySn

-Phuang phap thu ba Ia dung phfm m~m MapInfo khai baa them lu6i chi~u VN2000 sir d\lng tham s6 chuy~n d6i do BQtai nguyen moi truang cong b6.

Bu6£ 2: Sir d\lfig cong thue Molodensky d~ chuy~n tU M INDIAN 1960 sang VN2000. Do ta khong co dft li~u v~ tQa dQ cac di~m triIng dQ chinh xae cao gifta 2 h~nay cho nen ta khong xay d\ffig dugc bQtham s6 chuy~n thfutg gifta 2 h~, qua trinhchuy~n d6i se th\Tchi~n qua 2 bu6c:

Chuy~n tU INDIAN 60 v~ WGS84. Tham s6 chuy~n d6i duQ'c cong b6 trong baacae thanh I~p h~ tQa dQ WGS 84.

Sir d\mg bQ 7 tham s6 ehuy~n tQa dQtU WGS84 sang VN-2000 (BQ Tai Nguyen vaMoi Truang, 2007) d~ chuy~n tQa dQtU WGS84 sang VN-2000.

Buo'c 3: Sir d\lng phAn m~m MapInfo d~ chuy~n tQa dQtU INDIAN 1960 sang VN-2000. Theo MapInfo (2003), khi chuy~n tQa dQ tU h~ quy chi~u nay sang h~ khacphfm m~m MapInfo sir d\lfig eong th(rc Molodensky d~ chuy~n d6i trong truanghQ'Pbi~t duQ'c 3 tham s6 chuy~n d6i va sir d\lng cong thuc Bursa-Wolf khi bi~tduQ'c 7 tham s6 chuy~n d6i. Nguyen tilc chuy~n se qua trung gian cua MWGS 84.

Bu6e 4: So sanh cac k~t qua, rut ra k~t lu~.

3 KET QuA THAO LU~

3.1 Khai bao hrOi chiiu VN 2000va INDIAN 60 tren MapInfoCo phap khai baa: 9999, EllipsoidNumber, dX, dY, dZ, Ex,PrimeMeridian

MQts6 datum chi co 3 tham s6 chuy~n d6i ta sir d\mg khai baa gall:

999, EllipsoidNumber, dX, dY, dZ

Ey, Ez, m,

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Trong do:

- EllipsoidNumber: s6 hi~u elipsoid di Maplnfo quy djOO.Vi d\l: WGS: 28;Everest 1930: 11.

- dX, dY, dZ: 3 Tham s6 tjnh ti~n 3 tr\lC tQa dQX, Y, Z.

- Ex, Ey, Ez: 3 tham s6 quay Mtr\lc tQa dQ X, Y, Z.

- m: H? s6 hi?u chinh tY I? zing vai m6i elipsoid, ilan vi tinh ppm .

- PrimeMeridian: Kinh tuy~n g6c. TiOOb~ng don vj dQ tit Greenwich. N~u ChQnkinh tuy~n g6c la Greenwich thi h~ s6 nay b~g o.

B6 sung khai bao trong file MapInfo.prj

"--- YN 2000 DATUM ---" ."YN2000 / zone 48N (6 Do 7 Thamso)",8,9999, 28, -191.90441429,-39.30318279,-111.45032835, -0.00928836, 0.01975479, -0.00427372,1.000000252906278,0,7,105,0,0.9996,500000,0

"YN 2000 / zone 48N (6 Do 3 thamso)",8, 999, 28, -191.90441429, -39.30318279,-111.45032835,7,105,0,0.9996,500000,0

"YN 2000 / zone 49N (6 Do)",8, 999, 28, -191.90441429, -39.30318279,-111.45032835, 7, 111,0,0.9996,500000,0

"--- INDIAN DATUM ---"

"INDIAN 1960 Zone 48 N ", 8, 999, 11, 198, 881, 317, 7, 105, 0, 0.9996,500000,0

3.2 Kiim tra dq l~ch chuyin dAigifi'acong thuc Molodensky, Maplnfo vaGeotools

Do OOomthu tMp duQ'cdft li~umQts6 di~mco tQadQnk trong M YN 2000Den th\fC hi~n kMo sat S\f l~ch nhau giita i phuong pbap d\f djOOti~n Moo va k~tqua chuy6n d6i ca phfuIm~m GEOTOOL. K~t qua tinh tOMOOusau:

Bang 1: KStqua khao sat bi.ng3 phmmg phap

Dii"liu VN2000 WGS84 - MaplnfoWGS 84- Molodensky tho WGS 84 - GEOTOOL

clingX y X Y X Y X Y

1118970.590 568298.270 1118859.569 568493.834 1118858.856 568493.817 1118859.005 568494.859

1122058.540 571737.630 1121947.521 571933.200 1121946.809 571933.182 1121946.958 571934.223

1118142.440 567321.490 1118031.418 567517.056 1118030.705 567517.035 1118030.854 567518.104

1125675.960 562150.010 1125564.955 562345.567 1125564.236 562345.55 1125564.382 562346.624

1127094.500 566642.830 1126983.496 566838.398 1126982.777 566838.376 1126982.928 566839.439

1129515.220 564232.690 1129404.213 564428.253 1129403.5 564428.234 1129403.648 564429.296

1126032.620 560150.890 1125921.612 560346.445 1125920.896 560346.427 1125921.044 560347.473

1124877.780 569124.640 1124766.777 569320.207 1124766.053 569320.189 1124766.2 569321.234

1123326.660 567557.460 1123215.643 567753.027 1123214.932 567753.007 1123215.08 567754.072

1115920.330 580998.700 1115809.300 581194.281 1115808.59 581194.262 1115808.737 581195.341

1112524.370 579279.400 1112413.341 579474.973 1112412.626 579474.959 1112412.776 579476.022

1l09263.690 579476.150 1l09152.665 579671.727 1109151.942 579671.709 1109152.091 579672.759

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DQ I~ch cua 2 phuong phap so v6'i GEOTOOL th@hi~n trong (Bang 2).

Bang 2: I){)I~chciia 2 phuong phap so YO;GEOTOOL

Ma~nfu MOLODENSKYdX(m) dY(m) dx (m) dY (m)

0.564380470 -1.025468387 -0.149 -1.0420.562836910 -1.023075005 -0.149 -1.0410.563948290 -1.048446155 -0.149 -1.0690.572518780 -1.056892348 -0.146 -1.0740.567778820 -1.041169246 -0.151 -1.0630.565048840 -1.043015138 -0.148 -1.0620.567922200 -1.028383463 -0.148 -1.0460.576985500 -1.026690578 -0.147 -1.0450.562714380 -1.045119937 -0.148 -1.0650.563253900 -1.060183471 -0.147 -1.0790.565491460 -1.049194246 -0.15 -1.0630.574192660 -1.032103500 -0.149 -1.05

Bang 2 cho th~y k~t qua chuy@nd6i b~g cong thuc Molodensky thu cong k~t quasai I~ch x va y Ifm luQ1:la 0.1 va 1m so v6'i phfm m~m GEOTOOL. Tuy nhien k~tqua chuy@n d6i b~g MapInfo sir d1)Ilg bQ 3 thalli s6 khong co cac thalli s6 g6cxoay cho k~t qua I~ch so vcri GEOTOOL tir la 0.5 va 1m.

Cac~ong thuc nghien cUu la nhftng cong thuc dang duQ'c dung ph6 bi~n, tuy nhiendo m6i cong thuc dUng cho d~g tQa dQ khac nhau: Cong thuc Molodensky dUngcho tQa dQ triic dia d~g B, L, H trong khi cong thuc Bursa-Wolfva cong thuc doBQ sir d1)IlgI~i dUng tQa dQ khong gian 3 chi~u X, Y, Z. TQa dQ di@mteen ban dbthi 6' d~g tQa dQ phfu.g x, y qua trinh tmh tOaDchuy@nd6i phai ti~n banh chuy8nd6i d~g tQa dQqua nhi~u bu6'c khi~n cho sai s6 chuy@nd6i khong phai la h~g s6nhu da th~y trong Bang 1 va Bang 2. Tuy nhien ta se can cu vao sai s6 cua cong C\lco tinh phap Iy la phfm m~m GeoTool d8 xac djnh muc tin c~y cua hai phuongphap con I~ nhfun chuy@nd6i gifta hai M ma GeoTool khong h6 trQ'.

3.3 K@tqua chuySn fir INDIAN 60 vE VN 2000 bAng cong thu-c.Xiiy d\fllg cong thuc Molodensky chuAn chuy8n tQa dQteen Excel:

. Chuy8n tir INDIAN60 sang WGS 84,

. Chuy@nk~t qua thu duQ'ctir WGS 84 sang VN2000 theo cach tinh tOMtir cong thuc molodensky

K~t qua tinh tOMduQ'Ctrinh bay trong (Bang 3).

3.4 K@tqua chuySn fir INDIAN 60 VE VN 2000 bing MapInfo- T~o lap ban db teenMapInfo, sir d\lng lucrichi~u INDIAN 60

- Nh~p cac di@mchuy8n d6i vao lap ban db vila ~o.

- Sir d1)Ilgchuc Dang SAVE AS cua MapInfo va luu I~i v6'i lu6'i chi~u laVN2000. Nhu v~y ta se co duQ'ctQadQdi@mtheo VN 2000

K~t qua chuySn d6i duQ'c li~t ke trong (Bang 3).

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Bang 3: K@tqua chuy@n ctAito~ ctq tir INDIAN 60 sang VN2000 I,>ing 2 phlrO'Og phap

Indian60 Indian6O->WGS84- INDIAN6O->VN2000dung Sai I~h nhau>VN2000Molodensky MapInfo

B L B L B

10.12223142 105.6263099 10.12324534 105.624527110.123227000

10.14975963 105.6570987 10.15077369 105.655315710.150756000

10.11407694 105.6167992 10.11509082 105.615016410.115073000

10.18 105.57 10.18298664 105.569138910.182969000

10.20 105.61 10.19664526 105.609212710.196628000

10.2177075 105.5888395 10.21872112 105.58705610.218703000

10.18588355 105.5516546 10.186897 105.549871210.186879000

10.17506536 105.6326935 10.17607927 105.6309103 10.176061000

10.1609883 105.6189264 10.16200214 105.617143310.161984000

10.09649075 105.7371452 10.09750529 105.7353627 10.097487000

10.06240027 105.725887 10.06341479 105.7241047 10.063397000

10.03286859.105.7273442 10.03388314 105.7255621 10.033865000

10.10307199 105.7164657 10.10408641 105.7146832 10.104068000

10.05757872 105.6469921 10.05859281 105.6452096 10.058574000

L dB(giiy) dL(giiy)

105.624526000 0.066023435 0.003809716

105.655315000 0.063697126 0.002670544

105.615016000 0.064156117 0.001387394

105.569138000 0.063519774 0.003237610

105.609212000 0.062127508 0.002401054

105.587055000 0.065231853 0.003722070

105.549871000 0.064797498 0.000829636

105.630909000 0.065755837 0.004790614

105.617142000 0.065311037 0.004655830

105.735362000 0.065848567 0.002628563

105.724104000 0.064036501 0.002620794

105.725561000 0.065314517 0.003830973

105.714682000 0.066290312 0.004261%2

105.645209000 0.067720113 0.002232788

10.03998648 105.6801171 10.04100077

10.10968292 105.6697366 10.11069708

10.10240571 105.6044389 10.10341953

10.15 105.57 10.154631%

105.6783348 10.040982000 105.678334000 0.067572364 0.002911882

105.667953910.110679000

105.6026561 10.103401000

105.5730709 10.154614000

105.667953000 0.065100832 0.003156658

105.602655000 0.066715030 0.004064322

105.573070000 0.064663536 0.003278775

Trnng blnh: 0.065215664 0.003138399

Tu Bang 3 ta th~y dQ l~eh kinh dQva vi dQgifta 2 k~t qua la 0.065" vao khoang1m, d~e bi~t dQ l~eh k~t qua kinh dQ gADnhu khong dang k€ 0.003" tuong -ungkhoang O.lm.

4 KET LU!NQua khao sat so sanh 2 phuoog phap ehuy€n co so sanh dQtin c~y vm ph~n m~mGEOTOOL cho th~y ca 2 d~u-ungdvng t6t cho chuy~nd6i tQadQgiftaVN2000 vaWGS 84 va ~e bi~t ill INDIAN 1960 sang VN2000 va ngugc l\li. Tuy mve diehsir d\Ing ma ta se h.ra chQn phuoog phap thich hgp. Thi~t l~p cong thueMolodensky d€ t\l tinh ehuy~n cho dQchinh xac cao hoo chuy~n bfutgphADm~mMapInfo, tuy nhien n~u khong doi hOikh~c khe v~ dQchinh xac ta co th~ sir d\lfigMapInfo cimg vm lucrichi~u duQ'ceung cfiptrong bai vi~t nay d~ chuy~n d6i h~quy ehi~uvcricae uu di€m xir ly don gian va ehuy€n d6i duQ'cnhi~u djnh d\lfigband6s6.

TAl Lltu THAMKHAo

BQHi Nguyen Moi TruOng, 2007, Quy~t OS/2007/QD-BTNMT V6 sir d\lIlg h~ th6ng thams6 tinh chuyen giita H~ tQadQqu6c t~ WGS-84 va H~ tQadi}qu6c gia VN-2000.

Maplnfo, 2003, Maplnfo Professional v7.5 User GuidesTAngC\lCDia chinh, 2001, Thongtu s6 97312001m-TCDC huang dfulap d\lng H~ quy

chi~u va H~tQadQqu6c gia VN-2000

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