Published on February 19, 2014
UNIVERSITÀ DEGLI STUDI DI NAPOLI “FEDERICO II” FACOL TESI DI LAUREA Evaluation of geometrical parameters of buildings from SAR images RELATORE: CH.MO PROF. ANTONIO IODICE CANDIDATO: FEDERICO MARIA ARIU’ MATR. 528/1127 CORRELATORE: ING. GERARDO DI MARTINO ANNO ACCADEMICO 2009/2010
Summary Introduction and goals Models description Developed algorithm Results
SAR images Pros: • Image quality not depending on: Solar illumination Weather trends • Wide coverage area • High resolution Cons: • Need of processing data to obtain the image
Geometrical distorsions Layover Shadowing
Electromagnetic diffusion model Single scattering
Electromagnetic diffusion model Double scattering
EM scattering from buildings BW=Backscattering from Wall BR= Backscattering from Roof BG=Backscattering from Ground D= Double scattering T= Triple scattering Lr =Range size of Layover Sr =Range size of Shadow S= Shadow
Scattering model Double scattering 0 hl tan cos k 4 2 2 S pq 1 tan 2 sin 2 4 k cos 4 r 2 0 E0 2 ES 2 1 2 2 exp tan C ' ' (0) 2 2 θ: detector angle φ: building orientation angle in respect to the detector azimuth k: propagation constant σ2: standard deviation h: buildings height l: buildings length Spq: scattering matrix 2 2 sin 2 2 C ' ' (0)
Evaluation of orientation angle:usefulness Geometrical knowledge Geometrical and electromagnetic parameters retrieval
Height retrieval Geometrical method: h Lr h cos S r cos : Radiometric method h 0 a b 4 a k 2 where b l tan 2 S pq cos 1 tan 2 2 sin 4 k cos 2 2 1 2 2 C ' ' (0) exp tan 2 2 sin 2 2 C ' ' (0)
Double scattering line retrieval Scanning equiazimuth ith row M Ideal sinc Zero-Padding correlation Retrieval of maxima
Double scattering line analysis y=mx+q m=tanα The software returns coordinates and intensity of the dots forming the double scattering line.
Linear regression Yi Xi Given a cloud of sampled dots, the linear regression supplies the straight line that rounds best the trend of the cloud of dots. ui
Choosing the linear regression algorithm The chosen algorithm minimizes minimizza lo scarto assoluto. ABSOLUTE DEVIATION y x STANDARD DEVIATION
SAR images simulations: 512 x 512 SENSOR OVERVIEW Platform height h = 20 Km Platform speed v = 0.9 Km/s View angle θ = 28° Antenna dim(azimuth) L x SAR 8 .5 m Antenna dim (range) L rSAR 1 .5 m Carrier frequency f = 1.282 GHz Pulse duration τ = 1.9 μs Chirp pulse bandwidth Δf = 14 MHz Sampling frequency fsamp = 31 MHz Pulse repetition frequency p.r.f. = 350 Hz Azimuth resolution Δx = 2.5714 m Range resolution Δy = 10.3067 m
SAR images simulations: 512x512 sensor Simulation 1: φ = 10 φs = 15.0° Simulation 2: φ = 25 φs = 26.6°
SAR images simulations: ERS-1 C SENSOR OVERVIEW Platform height h = 775 Km Platform speed v = 6.7 Km/s View angle θ = 23° Antenna dim(azimuth) L x SAR 11 . 1 m Antenna dim (range) L rSAR Carrier frequency f = 5.3 GHz Pulse duration τ = 37.1 μs 1 .0 m Chirp pulse bandwidth Δf = 15.55 MHz Sampling frequency fsamp = 18.98 MHz Pulse repetition frequency p.r.f. = 1.68 kHz Azimuth resolution Δx = 3.9860 m Range resolution Δy = 19.9285 m
SAR images simulations: ERS-1 C sensor Simulation 1: φ = 10 φs = 10.1° Simulation 2: φ = 30 φs = 30.0°
Conclusions Pros: • Good accuracy depending on the numbers of dots that belong to the line. Cons: • Range of angles to be evaluate low.
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PIER M : Progress In ... on the building geometrical properties in the SAR ... structure prediction in the slant image plane. An evaluation function ...
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Quantitative structure–activity relationship models ... geometric parameters) ... Evaluation of the quality of QSAR models ...
The Geometric Shapes ClipArt ... There are also images of leaning ladders, buildings, ... The Star Polygons ClipArt gallery includes 33 images of star ...
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