bundle block adjustment with 3d natural cubic splines

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VITA2000 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .B.S. Civil Engineering,Yonsei University, Seoul, S. Korea2001-2003 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Graduate Teaching Associate,Civil, Urban & Geo-systems Engineering,Seoul National University, Seoul,S.Korea2003 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .M.S. Civil, Urban & Geo-systems Engineering,Seoul National University,Seoul, S.Korea2003 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Researcher,Spatial Informatics & System Laboratory,Seoul National University, Seoul,S.Korea2004-2007 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Graduate Research Associate,Department of Civil & EnvironmentalEng. and Geodetic Science,The Ohio State University2007-present . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Senior Research ScientistQbaseSpringfield, OHFIELDS OF STUDYMajor Field: Geodetic Science and Surveyingvii
Page 2: c○ Copyright byWon Hee Lee2008
Page 7: ACKNOWLEDGMENTSThanks be to God, my
Page 11: LIST OF TABLESTablePage4.1 Relation
Page 14 and 15: EOPs of multiple overlapping aerial
Page 16 and 17: The stereo model consisting of two
Page 18 and 19: intersect in a point. Possible cons
Page 20 and 21: straight features and conic section
Page 22 and 23: CHAPTER 2LINE PHOTOGRAMMETRYLine ph
Page 24 and 25: where p thr is the threshold parame
Page 26 and 27: growing techniques using seed point
Page 28 and 29: [42],Tommaselli and Lugnani(1988) [
Page 30 and 31: a lot in man-made structures and mo
Page 32 and 33: space features is the coplanarity a
Page 34 and 35: to avoid numerical problems as⎡
Page 36 and 37: • Piecewise curves- Bezier curve
Page 38 and 39: Algebraic curves have implicit form
Page 40 and 41: Calculate the maximum distance betw
Page 42 and 43: B-splineThe equation of B-spline wi
Page 44 and 45: Fourier transform has strength in s
Page 46 and 47: CHAPTER 3BUNDLE BLOCK ADJUSTMENTWIT
Page 48 and 49: Substituting (3.2) into (3.3 [1]) l
Page 50 and 51: From 0th continuity,y 0 = a 00 + a
Page 52 and 53: with x pi , y pi the photo coordina
Page 54 and 55: about correspondences between indiv
Page 56 and 57: 3D natural cubic spline parameters
Page 58 and 59:
wherex i (t) = a i0 + a i1 (t − t
Page 60 and 61:
function such as the Bézier curve
Page 62 and 63:
(a, f(a)), ( a+b, f ( ))a+b2 2 , (b
Page 64 and 65:
= A 1 dX C + A 2 dY C + A 3 dZ C +
Page 66 and 67:
x p (t) = −f u(t)w(t) ,y p(t) =
Page 68 and 69:
CHAPTER 4MODEL INTEGRATION4.1 Bundl
Page 70 and 71:
In the case of straight lines and c
Page 72 and 73:
A k EOP =A i SP =A i t =A kiAL =⎡
Page 74 and 75:
The optimal unbiased estimate of th
Page 76 and 77:
N 11 Q 12 + N 12 Q 22 = 0where Q is
Page 78 and 79:
The extended collinearity equations
Page 80 and 81:
any transformation parameters, but
Page 82 and 83:
CHAPTER 5EXPERIMENTS AND RESULTSIn
Page 84 and 85:
(a) Known EOPs with tie splines(b)
Page 86 and 87:
unknowns. The redundancy is 2nm-m-1
Page 88 and 89:
Figure 5.2: Six image blockParamete
Page 90 and 91:
5.2 Experiments with error free EOP
Page 92 and 93:
Generally the larger noise level th
Page 94 and 95:
slope and distance observations are
Page 96 and 97:
total number of equations is 2 × 6
Page 98 and 99:
EOPsParameter X c [m] Y c [m] Z c [
Page 100 and 101:
EOPsParameter X c [m] Y c [m] Z c [
Page 102 and 103:
(a) Image 762 (b) Image 764 (c) Ima
Page 104 and 105:
Spline location parametersImage 762
Page 106 and 107:
without error so the accuracy of co
Page 108 and 109:
CHAPTER 6CONCLUSIONS AND FUTURE WOR
Page 110 and 111:
control spline and unknown EOPs wit
Page 112 and 113:
APPENDIX ADERIVATION OF THE PROPOSE
Page 114 and 115:
N 4 = − f w {r 22 (Z i (t) − Z
Page 116 and 117:
+Du ′ (t 1 ){r 12 (Z ′ i(t 1 ))
Page 118 and 119:
+Du ′ ( t 1 + t 2){r 21 (X ′2i(
Page 120 and 121:
( t1 + t 2+2f2) −1+Dw( t 1 + t 2)
Page 122 and 123:
+Du ′ (t 2 )r 11 X i ′′ (t 2
Page 124 and 125:
+ v′ (u ′ w − w ′ u) − u
Page 126 and 127:
[12] Chen, T., and R.S. Shibasaki.
Page 128 and 129:
[36] Ji, Q., S. Costa, M. Haralick,
Page 130 and 131:
[62] Schickler, W. 1992. Feature ma
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bundle block adjustment with 3d natural cubic splines

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