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X,/ ¡¿ - ,/) -0 Figule 6.1: Image coorclinate for the Raclon transform. Table 6.1: Exarnples of Radon tlarrsform pair'. Point Line Hvuerbola Irrage space Ò\r-d,y-ú) z:b-ap(Line) Y--Por+zo u - ¿J¡4 6z Radon tlanstoltn 6(p - po, z - e6) (Point) z:6{A -F (Ellipse) 12r
Figure 6.2: Point, lines, and hyperbola in the irnage space. 122
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INVERSION OF SYNTHETIC APERTUR,E R,
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ñr^-- ltoN. J00NG suN '¿i¡r"r os
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I heleby declale that I am tlie sol
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plot of the maximum amplitude of th
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Contents Abstract Acknowledgements
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6.3.1 Introduction ..151 6.3.2 Digi
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5.1 Florv chart fot the proposecl i
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List of Tables 2,1 Seasat SAR senso
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List of Notations cr squint angle P
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tist of Abbreviatíons SAR Syntheti
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The objectives of this thesis rnay
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Ground Range l;l 2 sin0 Figure 1.2:
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ol'cler to evaluate its full aclvan
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algolithrn extlacts the complex bac
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successful as expected. Thele ale,
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eú ø1. [103]). Similal clevelopme
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aerial plìotogl'aphy ovel the area
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2.2 Spaceborne SAR Systems 1) SEASA
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tlie basis of a distinctive dlainag
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set fol selectecl aleas, useful for
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3) ERS-I The first European rernote
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Table 2.4: ERS-I Ðieterle [104]).
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Table 2.6: ERS-1 SAR pelfolmance re
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Table 2.7: JtrRS-1 olbit pararnetel
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Table 2.9: Chalactelistics of OPS o
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Table 2.11: Specifications of Racla
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Chapten 3 Review of Digital SAR Pro
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,I Figule 3.1: Raclar' L¡earn geom
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I L-=J}"no Figure 3.2: Geouretry fo
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vhich is the clistance across the a
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vlrere ø6 is a angular center fi'e
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à1 äl (a) /1T. or^l - r+ (b) I à
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a,pploxirnated by l2p sinl(I - ltl)
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-s(cu) is rewlitten as s@¡ - !"-,r
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cliscussecl later il this sectio¡r
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Ïon = _2 (V(ro) .V(¿o)+ R(ro) .A(
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: Range Walk : Range Curvatule : Ra
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olbital SAR is given by Ion = -'#{t
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is constant cluling the receiving p
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a at f¡r
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'rvith a foulula developed il this
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Chapter 4 Theoretical Development 4
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developed and cliscussed by several
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vhere u (r,ro; u) : I U 1r,ro,t)e-i
Page 89 and 90: wheÌe k':frf a¡cl lc -_ uf us ant
Page 91 and 92: 4) there is relative motion of ante
Page 93 and 94: o =løo, 0, 0) Figure 4.1: Schemati
Page 95 and 96: elorv that sulface. In genetal, sul
Page 97 and 98: 4.4 The Inversion The equation Eq.(
Page 99 and 100: *'here % is a platfolrn velocity an
Page 101 and 102: The trq.(a.36) cannot be used dilec
Page 103 and 104: vhele Àl is a tvavenurnbel collesp
Page 105 and 106: 2-D FFT o(,b,;ø) Intelpolation in
Page 107 and 108: ¡nE 0$r-sEc, ¡3 I IrlÊ [18- 5EC
Page 109 and 110: 5.2 Digital Simulation Digital sirn
Page 111 and 112: Table 5.2: Moclel palametels fol di
Page 113 and 114: signal and the leconstructe
Page 115 and 116: (3 È. e tc o) o -tl a Slant Range
Page 117 and 118: that the inversiol method can accor
Page 119 and 120: (n t0 Ê) 0c (lr) Figure 5.6: Seasa
Page 121 and 122: 5.3 Processing of Real SAR Data A s
Page 123 and 124: squâre pixel rvith clir¡ension of
Page 125 and 126: Aziurutì (n Þ !d !D gc Figule 5.1
Page 127 and 128: (n 5 F Þ tq Figu.e 5.11: Reconst.u
Page 129 and 130: over tlìe 2.4 inches as shol¡l i'
Page 131 and 132: Ø Þ :J m (a) (b) ^a ctl _= a"r ro
Page 133 and 134: Chapter 6 SAR fmage Enhancement for
Page 135 and 136: 1) hoiv can the tlends of lineament
Page 137 and 138: 6.2 Determination of Geological Str
Page 139: Coolclinates for the image space an
Page 143 and 144: scatteter (e.g. coller leflectols,
Page 145 and 146: Figure 6.5: CCRS's airboure C-band
Page 147 and 148: C-l¡ancl SAR irnagery ovel this al
Page 149 and 150: Figure 6.8: Radon transform of ailb
Page 151 and 152: in the irnage space ancl the Iine i
Page 153 and 154: ERS- 1 N U 0 rl 0o |lO + ,¡l r.l p
Page 156 and 157: 6.2,3 Correlation Using The Radon T
Page 158 and 159: Since the inside of the squale blac
Page 160 and 161: Figule 6.12: Model test for correla
Page 162 and 163: thlough the Radon tlansfolm is shor
Page 164 and 165: Figure 6.15: Airborne C-band SAR da
Page 166 and 167: distinct points can be cliscelnerl
Page 168 and 169: Figure 6.18: Correlation output thr
Page 170 and 171: 6.3 Merging of Multiple SAR Image D
Page 172 and 173: in Figure 6.19 tvhich is a clilect
Page 174 and 175: Figure 6.20: Additive irnages rvith
Page 176 and 177: Figule 6.22: Subtractive images rvi
Page 178 and 179: (1) select a clirection to be enhan
Page 180 and 181: Figure 6.24: Lnage obtained through
Page 182: 6.3.4 Principal Components Analysis
Page 185 and 186: Table 6.2: Con'elation coeffrcielt
Page 187 and 188: Figure 6.27: The PCA frrst componen
Page 189 and 190: the geological surface lilearrent f
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ackscatte.i'g coefficiert can be cl
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Appendices A. Derivation of Forward
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B. Derivation of Inversion Formula
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C. Derivation using the Method of S
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F[eferences [1] Ahmed, S., \Vallen,
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[20] Curlis, J.D,, Flost, V.S., Del
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[43] Holn, R., 1988, E-SAR - The ex
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[65] Lotrelrl, O., 1990, Dopplel ce
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[87] Pye, 8.G., Nalch'ett,4.J., anc
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[111] \,Vu, C., Balkan,8., I(arplus
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