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to locate geologic stluctule of specified shape using this tecluiique have not ploven successful. Horvevet', this rnethocl has der¡onstrated that this nerv approach, ivith a suitable screening ltrocess in the Raclon transfounecl space, can be as effective as the fast Fourier transfol.m approach. Thlee approaches fol nelging of two or. mor.e <strong>SAR</strong> data sets have been investigated ancl testecl it this thesis, Simple adclition or subtraction reduced radar look clilection bias to some extent l¡ut blurrecl celtain srnall geologic features. The combinecl pÌocessing of directional cler.ivative ancl simple subtlaction is effective relative to the simple acldition or subtraction. The Raclon tlalsfoun alalysis can be utilized to select the dir.ectiol of lirrear feature to be elhanced by ditectional clelivative. The PCA apploach is the rnost effective amoÌlg tlìe three approaches tested. The first principal contponent image enhances the geological lineal'features while letaining small structulal cletails. Three clata sets are at least requirecl to efectively enhance linearlents using the PCA apploach. If only two sets of <strong>SAR</strong> irnage data are available for. bias lecluction, ancl if correlation betrveen these two original data sets is very lolv, at least one auxilialy data set is required. 773
Appendices A. Derivation of Forward Formula Eq.(a.29) can l¡e clerivecl from Eq.(4,28) as follows. The Foulier tr.alsfolrn of O(ø¡;o) in Eq.(a.28) with respect to c6 is )t,t r r o(I;";c..') - fÞA J J,h oi,l,-)e-ik"' . /_ ,Á', *,8 cla tly (4..1) Irlr, ruheLe øj'?)(.) is the Hankel functiol of seconcl kind (Magnus ancl OberhettingeL fTil). Norv let us change llte (y,zo) coordinate into the slaut-range coor
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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
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wheÌe k':frf a¡cl lc -_ uf us ant
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4) there is relative motion of ante
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o =løo, 0, 0) Figure 4.1: Schemati
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elorv that sulface. In genetal, sul
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4.4 The Inversion The equation Eq.(
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*'here % is a platfolrn velocity an
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The trq.(a.36) cannot be used dilec
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vhele Àl is a tvavenurnbel collesp
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2-D FFT o(,b,;ø) Intelpolation in
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¡nE 0$r-sEc, ¡3 I IrlÊ [18- 5EC
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5.2 Digital Simulation Digital sirn
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Table 5.2: Moclel palametels fol di
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signal and the leconstructe
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(3 È. e tc o) o -tl a Slant Range
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that the inversiol method can accor
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(n t0 Ê) 0c (lr) Figure 5.6: Seasa
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5.3 Processing of Real SAR Data A s
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squâre pixel rvith clir¡ension of
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Aziurutì (n Þ !d !D gc Figule 5.1
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(n 5 F Þ tq Figu.e 5.11: Reconst.u
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over tlìe 2.4 inches as shol¡l i'
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Ø Þ :J m (a) (b) ^a ctl _= a"r ro
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Chapter 6 SAR fmage Enhancement for
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1) hoiv can the tlends of lineament
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6.2 Determination of Geological Str
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Coolclinates for the image space an
Page 141 and 142: Figure 6.2: Point, lines, and hyper
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
Page 191: ackscatte.i'g coefficiert can be cl
Page 195 and 196: B. Derivation of Inversion Formula
Page 197 and 198: C. Derivation using the Method of S
Page 199 and 200: F[eferences [1] Ahmed, S., \Vallen,
Page 201 and 202: [20] Curlis, J.D,, Flost, V.S., Del
Page 203 and 204: [43] Holn, R., 1988, E-SAR - The ex
Page 205 and 206: [65] Lotrelrl, O., 1990, Dopplel ce
Page 207 and 208: [87] Pye, 8.G., Nalch'ett,4.J., anc
Page 209: [111] \,Vu, C., Balkan,8., I(arplus
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