INVERSION OF SYNTHETIC APERTUR,E R,ADAR (SAR) - MSpace ...

More documents

Recommendations

Info

$il\VOLVEMENT OF RETII\OIC ACID II{ - MSpace at the University of ...$

6.2,3 Correlation Using The Radon Tbansform Arnong the valious propelties of the Radon tlausfot'm, the convolution and collelation plopelty have been consideled to be not as useful as other.pr.oper'- ties. Many authols, fol instance, Deans [25] (pp.95, Eq.(10.1)), ancl Dur.r.ani ancl Bisset [28] (p.1181, Table 1), have pointed out that the Raclon transfor.- m of convolution is the convolution of the Radou tr.ansfomrs. Similar.ly, the Raclon transforrn of correlation is the corlelation of the Ratlon tr-ansforms. Comparecl to the Fouriel tralsfolrn theorer¡rs in which the Foulier transfolur of a convolution pair becomes a product of the Four.iel tlansfolrus, it was juclged that convolution ol collelatiolt tluough the Raclon tralsfolm rvas not rvolth pelforrning. HoweveL, it can be shown tliat trvo-climensional convolution (or collelation) of the Rarlon tlansform is sirnply a oue-climensional convolution (or collelatiol) in the z-
Trvo-rlimensional convolution is clefinecl as / /co - ,t@, y) = J J__f (r', a') l(, - r',y - s') rtr' tls' (6.4) Using Eq.(6.1) and (6.4), tlie Radon tlansfomr of two-dirnensional corvolution is then written as e(p,") : | !,t(,,ù6(a - " - pr)trr d.y (6.5) : ll lll ,ø',v')s(* - r'I,! - v'),tx'tlv'16@ - " - pQtlxrtv : ll lll tA - ¿',,!/ - a) 6(s - z - 1't) clx dyf f @',y') tlt, tty . The inside of the square blacket is the Raclon transfolm of a shifted fulction g(:t - t',y - g'). Using the shifting property in Eq.(6.2), the above equation can be recluced to I r.n Qb,"): J J_.,f @',u')G(p," - y' t px')dr'tty' (6.6) whele s@,y) P+ G@,") . (6.7) Eq.(6.6) can be rervritten as e(p,,) : ll f l,',u)[l "r0," - z,)6(2, - y, + Ì,p),t"'] ,t*,,ta, : | "þ,, - "') fl I ¡@',0,) 6(a, - ", +,, p) at, as,) az, g.a) 138
Page 1 and 2:
INVERSION OF SYNTHETIC APERTUR,E R,
Page 3 and 4:
ñr^-- ltoN. J00NG suN '¿i¡r"r os
Page 5 and 6:
I heleby declale that I am tlie sol
Page 7 and 8:
plot of the maximum amplitude of th
Page 9 and 10:
Contents Abstract Acknowledgements
Page 11 and 12:
6.3.1 Introduction ..151 6.3.2 Digi
Page 13 and 14:
5.1 Florv chart fot the proposecl i
Page 15 and 16:
List of Tables 2,1 Seasat SAR senso
Page 17 and 18:
List of Notations cr squint angle P
Page 19 and 20:
tist of Abbreviatíons SAR Syntheti
Page 21 and 22:
The objectives of this thesis rnay
Page 23 and 24:
Ground Range l;l 2 sin0 Figure 1.2:
Page 25 and 26:
ol'cler to evaluate its full aclvan
Page 27 and 28:
algolithrn extlacts the complex bac
Page 29 and 30:
successful as expected. Thele ale,
Page 31 and 32:
eú ø1. [103]). Similal clevelopme
Page 33 and 34:
aerial plìotogl'aphy ovel the area
Page 35 and 36:
2.2 Spaceborne SAR Systems 1) SEASA
Page 37 and 38:
tlie basis of a distinctive dlainag
Page 39 and 40:
set fol selectecl aleas, useful for
Page 41 and 42:
3) ERS-I The first European rernote
Page 43 and 44:
Table 2.4: ERS-I Ðieterle [104]).
Page 45 and 46:
Table 2.6: ERS-1 SAR pelfolmance re
Page 47 and 48:
Table 2.7: JtrRS-1 olbit pararnetel
Page 49 and 50:
Table 2.9: Chalactelistics of OPS o
Page 51 and 52:
Table 2.11: Specifications of Racla
Page 53 and 54:
Chapten 3 Review of Digital SAR Pro
Page 55 and 56:
,I Figule 3.1: Raclar' L¡earn geom
Page 57 and 58:
I L-=J}"no Figure 3.2: Geouretry fo
Page 59 and 60:
vhich is the clistance across the a
Page 61 and 62:
vlrere ø6 is a angular center fi'e
Page 63 and 64:
à1 äl (a) /1T. or^l - r+ (b) I à
Page 65 and 66:
a,pploxirnated by l2p sinl(I - ltl)
Page 67 and 68:
-s(cu) is rewlitten as s@¡ - !"-,r
Page 69 and 70:
cliscussecl later il this sectio¡r
Page 71 and 72:
Ïon = _2 (V(ro) .V(¿o)+ R(ro) .A(
Page 73 and 74:
: Range Walk : Range Curvatule : Ra
Page 75 and 76:
olbital SAR is given by Ion = -'#{t
Page 77 and 78:
is constant cluling the receiving p
Page 79 and 80:
a at f¡r
Page 81 and 82:
'rvith a foulula developed il this
Page 83 and 84:
Chapter 4 Theoretical Development 4
Page 85 and 86:
developed and cliscussed by several
Page 87 and 88:
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 and 140: 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 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 and 192: ackscatte.i'g coefficiert can be cl
Page 193 and 194: Appendices A. Derivation of Forward
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
show all

INVERSION OF SYNTHETIC APERTUR,E R,ADAR (SAR) - MSpace ...

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?