中国地质大学 测绘工程系

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测量学. 中国地质大学 测绘工程系. 一、定义 是一门研究 地球形状及大小 ,并确定地球表面 点位关系 的一门科学. 第一章 绪论. 第一节 测量学的定义及分类. 第一章 绪论. 寻找基准面. 点位关系:. y. B. A. x. 第一章 绪论. 测量学的任务. 研究地球的形状和大小 测绘地形图 按一定比例 地物、地貌 绘制成图 缩小 - PowerPoint PPT Presentation

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  • yxAB

  • 1terrain surveying R=10

  • 3(photographic surveying)

    4(engineering surveying)

    5(mapping)

  • terrain surveying 1 2

  • 1( Geoidal surface) 29% 71%

  • 2(ellipsoid of revolution) PP IAG-75

  • 1.(L,B)

  • L (longitude) B (latitude)

  • 2

  • 3xy

  • ---1980108553432417.2m19421954

  • (1) (height),HAHB(tide gauge station)(height datum)

  • (2) 1) 1956195419561950~1956772.289m1956 56

  • 2) 1985801953~19772572.260m1985 8585560.029m20051098844.43m 8534

  • R10km

  • S=3.16kms:s=1:12194000S=10kms:s=1:1217700S=20kms:s=1:304400

  • P=10=0.05 P=100=0.51 P=400=2.03 P=2500=12.71

  • S=10kmh=7.8m S=100mh=0.78mm

  • 17

  • GPS

  • 1 2 GPS 4cm/

  • (GIS) , : ////; : /////, (), GIS, , , GIS,(GIS), , , , GIS, , , GIS GIS

  • GIS1:1001:251:51:251:51:11:4001:1001:251:51:1

  • XY1:4001:1001:251:51:1

  • 1:4001:1001:251:51:1 1:4001:1001:251:51:1

  • DEM DEM1:1001:251:51:1

  • GPS

  • 2.1 . . 1. , 2. 3. 4.

  • . 1. 0~360 1 A 2 Am 3 = -3, = +2,=12030AAm 2. 180 3. BC = AB + 180 BC = AB+ 180.

  • 2.2.1

  • 0 ~ 360 0 ~ + 90 0 ~ 90 1. = b a 1 2 3

  • 2. . (1 ) hh1 VV1 2 ZZ1 HH1 3 HH1 VV1 3.

    2. 1) DJ6, 2) DJ5 3) DJ2 4) DJ1 1. : 2. 1 1 P20 2-17 3.

  • 1. 2. 1. 0 180

  • : = Lb La = Lb La = + / 2 180n 1 / n nn P232-12. P242c2c = 180

  • . 90 0 = 90 L 270 = R 270 () 90 270 x,

  • 90 x

    L =90 L x (1) 270 x R =R 270 + x (2)

  • (1),(2) 90 L x R 270 + x = 0

    1. (1),(2) 2. (3)LR . 10 ) 1. 2. 3. P28.

  • 229ON

  • 1:AB

  • AB90C

  • 1Aa2Bb3Bb4Aa

  • O

    OA 0 00 18B 50 25 36 50 25 18A180 00 00B230 25 00 50 25 00 50 25 09A 90 00 24B140 25 36 50 25 12A270 00 18B320 25 24 50 25 06 50 25 09 50 25 09

  • 1Aa2BCDbc d3Aa4Aa5DCBd c b6Aa

  • 1cm1478mm3-3

  • D=d+f+s

    D=ct+Q QQ0D=ct

  • 1 NONMOMt=tcos S= ct= ct cos D=S cos =ct cos2

  • 2h+L=i+hh=h+i-L h=Dtan h= Dtan +i-LHB=HA+h=HA+ Dtan +i-L

  • 1 i; 2) 3D=ct cos2 h= Dtan +i-L HB=HA+h=HA+ Dtan +i-L

  • =- =90- D=ct cos2 h= Dtan +i-L HB=HA+h=HA+ Dtan +i-L

    Sheet1

    _____ A ____ ____

    ____ 46.54m 1.42m ____

    (m)(m)(m)

    B2.0012.5021.5011.00183 1164911.298.657.74

    Sheet2

    Sheet3

  • 1 2 33m

  • 4-1 a-- b--HA+a=HB+bhAB= HB - HA = a-b

  • 4-2

    hA1=a1-b1,h12=a2-b2,h2B=a3-b3hAB=hA1+h12+h2B=a- b1,2

  • 4-3 123

  • 1100m3m3mm5mm10m

  • 2

  • 3

  • 412=1-213=5-614=12-1315=14+159=4+K -710=3+K -811=10-916=3-417=8-711=16-17100

  • 1fh

    20 mm)S

  • 2fh =h-h

  • 1212

  • 1 2 i

  • 3

  • 1systematic error 2accident error 3.gross error

  • :162, Li=Ai+Bi+Ci,X=180,162 1620.2 ,, , i=X-Li (i=1,2,,n)

  • 1234

    Sheet1

    ()

    0.0~0.2212142

    0.2~0.4191938

    0.4~0.6151227

    0.6~0.891120

    0.8~1.09817

    10.~1.25611

    1.2~1.4134

    1.4~1.6123

    1.6000

    8082162

    Sheet2

    Sheet3

  • 53 arithmetical mean L

  • n Xmost probable value

  • 1m12

  • 2

  • 2lml/SS1=1km m1=10cm k=1/10000 S2=10kmm2= 10cm k=1/1000003 Admissible Error 3250.3 1.2.1

  • 55 Law of Error Propagation 56

  • Li(i=1,2,,n)Pimii

  • 61 1ABCD

  • 61

  • 612

  • 10km2

  • 62

  • 123

  • 112345

  • 2110 000 101.51/3000

  • 368

  • 464

  • 1 2n n 2180 6lZ 62 n2180 360

  • 2 3 1

  • 41 2

  • 5 12312

  • 65

  • GPS7-1 GPSGPS( 21320200km1/11h58min 4 GPS1 2 P30m) C/A300m,20 24m)

  • 1531CSOC26h2GPS3GPS10cm(s)

  • GPS11 12GPS2GPSGPSGPSGPSTrimble Leica Ashtech Novatel Sokkia

  • 7-2 GPS =t.c -t-c-= ct+t-(T+t)-trop-iontrop---ion --t tropion

    GPS4

  • GPSL1L2 GPSL1L2 =/2=N0+Ni+i/2)10-3 123123

  • 7-3 GPS1234 561 27C/A1m,P0.3 8,9WGS-84

  • 81 dD : :

  • : : : 0.1mm , 0.1mmMM

  • 11000

  • h: (d):(i): h

  • :

  • 1.h 2.3. 4. 5.

  • 1/21/4

  • 82 1 2 3 1 2 -- -- -- --

  • 8-31234DSM

  • 8-4 (XYH33571--- 2--- 3--- ---

  • 8-5 1y=f(x)y=g(x)y=f(x)y=g(x)

  • 2 3

  • 8-6 1DEM2DEM TIN3TIN

  • TINTINPi,j

  • TIN12

  • 6

  • 91

  • 91 :()

  • O

  • 1

    (2)3

    X

    Y

  • L06n3 3m

    75o

    81o

    87o

    93o

    78o

    84o

    3o

    90o

    6o

    96o

  • XYO X500YO

  • 92 50cm50cm40cm40cm40cm50cm()81363.015.0 863

  • 1 1:1001:100422ABV180660126022601:100

  • B3031L114281:1001:100H50 1:2501:201:101:501:201:101:100

    1:1003241:501:100ABCD1:50B3031L114281:50H50A

  • 1:100140361:20n61:1001236B3031L114281:20H50131:10030201441:101:10012144B3031L114281:20H5049

  • 31:51:11:51:11:101:10151041:51:10ABCDB3031L114281:5H5049B1:57.5541:2.51:51234B3031L114281:2.5H5049B41:10345230641:11:101264B3031L114281:1H504932

  • 41:51:11:1152.511541:51:1abcd1:5H5049(32)c

  • 199119911:1001:100 1:1001:50001:500000101:100

  • 1 1:1001:1001:1006460761276882441:100J501:100H50

  • 11:100

  • 1:5000001:50001:100891:10001:100

  • 1:50001:500000

    LWBN1:100

  • 1 1:501:1002241:501:5032L1173345B3922301:50J50B001002 21:251:10044161:251:251301L1173345B3922301:20J50C00300341:101:10012121441:101:103020L1173345B3922301:10J500D008008

  • 51:51:10024245761:51:51510L1173345B3922301:5J50E01701661:2.51:100484823041:2.51:2.57305L1173345B3922301:2.5J50F04200271:11:100969692161:11:1345230L1173345B3922301:1J50G09300481:50001:100192192368641:50001:5000152.5115L1173345B3922301:5000J50M192192

  • 1p(1415,21478)2pmn3pmpn4Xp=1415+pmM Yp=21478+pnM9-3

  • 1kmn 2mkmn3 Hp=Hm+hmk/mn

  • 1AB 2

  • 1AB 2A 3AB1AB 2

  • 1 2 3 41 5

  • 11-1 1 GPS RTK 23()

  • GPS RTK

  • GPS RTK

  • 10-2

  • 10-2

    1 2

  • 1.2.

  • () 1.().: 1Aa 2b 3Bb 4B

  • () A30.173mBB30.654m 1 2A

  • 2.

  • 1

  • 2

    12

  • 1

    4132X1=30.0Y1=20.00X2=30.0Y2=100.0X3=78.00Y3=100.0X4=78.00Y4=20.001AB 214233 1234OMNAB

  • 2(1) D

  • (2)

  • JKMNOLabcdp

  • A132.436m120.372mB(120.336m106.563m)P136.447m102.954m12ABABP

  • 10-3 1234

  • 12-1 1 2 1 2 3 4

  • 312ab

  • 34

  • 1

    N1S1N2S2

  • 212

  • 12312

  • 12-2 1231123212

  • 3(11232

  • 13-1 1

  • 2 20~50m5~20m

  • 13-1YZ

  • YZ

  • YZ