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Mathematical analysis of satellite images
Part 1
István László*
István Fekete**
Summer School in Mathematics Institute of Mathematics, Eötvös Loránd University,
Budapest, Hungary, June 6 - 10, 2016
* Institute of Geodesy, Cartography and Remote Sensing http://www.fomi.hu
** Eötvös Loránd University, Faculty of Informatics http://www.elte.hu
Contents
2 Mathematical analysis of satellite images
Summer School in Mathematics, ELTE, Budapest, 06-10 June 2016
•Part 1: An overview of remote sensing
• 1. Introduction: the evolution of remote sensing
• 2. Raw material: acquisition and pre-processing
• 3. Evaluation: only visual approach?
• 4. Practical applications
• 5. Education and university collaboration
•Part 2: Advanced methodology
• 1. Numerical evaluation of satellite images
• 2. The whole process of evaluation
• 3. Segment-based thematic classification
• 4. Data fusion
• 5. Object-based image analysis (OBIA)
1. Introduction: the evolution
of remote sensing
3 Mathematical analysis of satellite images
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Needs?
- The exhausting of local and global resources (first: oil)
- Global problems
- The extinction of species
- Club of Rome
Therefore natural resources should be managed, based on exact survey!
Opportunities?
- Space technology
- Sensors
- High speed data transfer
- 1972: launch of the first LANDSAT (ERTS) satellite
- Fast computers with graphical capabilities
- Digital image processing
4 Mathematical analysis of satellite images
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Remote sensing:
from data acquisition to thematic evaluation
The 3 main
components of remote
sensing system
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The parts of optical wavelength interval
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The first series
of Landsat
satellites
(1, 2, 3)
(1972-1983)
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SPOT 5 HRG
sensor
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Very high resolution satellite images
(0,5 m x 0,5 m – 4 m x 4 m-es ground resolution)
IKONOS satellite image
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A part of IKONOS multispectral satellite image (4 m) Sapporo, Japan, 1999 October 6 Space Imaging
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The first Hungarian satellite: MASAT-1 http://cubesat.bme.hu
2012 February 13 – 2015 January 9
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Long-term European programme: Copernicus
…and Sentinel satellites
Sentinel-1A (2014. 04. 03.): weather independent, radar sensor
Sentinel-2A (2015. 06. 23.): high resolution multispectral optical sensor
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2. Raw material:
data acquisition and pre-processing
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• Passive, reflective systems:
- Sun is the source of electromagnetic (EM) radiation
- Sampling “windows” of the whole EM spectrum
The physical background of remote sensing
Different land covers reflect differently:
- crops, - water, - soil Sensors measure the intensity of electromagnetic
radiation arriving from the Earth’s surface
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Spectral response curves
What are the acquisition bands used for?
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The diversity of remote sensing - Carrier
- Height
- Time
- Sensors
- Wavelength
Satellites: Geostationary orbit: 36 000 km
(Near) polar orbit: 450-1000 km
Airplanes: 300 m-10 km
Drones: UAV – Unmanned Aerial
Vehicle or RPAS - Remotely
Piloted Aircraft Systems:
30-600 m
Gliders: 100-300 m
Terrestrial observation:
5 m
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Scanning acquisition:
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What does a remote sensing image contain?
Pixels <--> elementary pieces of surface
Band values within a pixel
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The main parameters
of remote sensing systems Spatial:
- Spatial coverage
- Ground resolution
Spectral:
- Spectral resolution
- Radiometric resolution
Temporal:
- Temporal resolution (cycle length)
- Other factors: data access (availability, speed, price)
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Scene ID Date
1333 2012.08.06.
8364 2012.08.18.
8481 2012.08.18.
4565 2012.08.25.
The mosaicking of image tiles
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Geometric correction
It is clear that an accurate Digital Elevation Model is inevitable.
Scene 8481, RGB 423 Scene 8364, RGB 412
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Two complete coverages of VHR images (Pléiades)
Pléiades, 2013.05.18. + Pléiades, 2013.07.17.
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Pixel-based fusion („merge”)
- Pricipal Component Analysis (PCA)
- Modified Intensity-Hue-Saturation Merge (MIHS)
- In-house developed fusion, based on high pass filter (HPF)
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3. Evaluation:
only visual approach?
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The thematic evaluation of remote sensing images
2003. 03. 29., Landsat 7 ETM+
2003. 07. 27., Landsat 5 TM
A part of a crop map
Őszi búza Tavaszi árpa
Őszi árpa Kukorica Silókukorica Napraforgó Cukorrépa
Lucerna Vízfelszínek Nem mezőgazdasági területek Egyéb szántóföldi növények
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The diversity of thematic categories
Őszi búza
Tavaszi árpa
Őszi árpa
Kukorica
Silókukorica
Napraforgó
Cukorrépa
Lucerna
Vízfelszínek
Nem mezőgazdasági területek
Egyéb szántóföldi növények
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Texture: the regular changes of intensity values
28 Mathematical analysis of satellite images
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Feladat Vizuális interpretáció
(szem + agy rendszer)
Számítógépes
kiértékelő rendszer
Geometriai összefüggések, struktúrák
felismerése
kitűnő gyenge
Textúra felismerése, azonosítása jó gyenge
Textúra mérése gyenge kitűnő
Tónusok elkülönítése közepes kitűnő
Megbízhatóság, objektivitás,
reprodukálhatóság
közepes jó
Feldolgozási sebesség gyenge kitűnő
Bonyolult szakértelem, egyéb ismeretek
alkalmazása
jó közepes
Több adatforrás vagy időpont együttes
kiértékelése
gyenge kitűnő
The two basic methods of remote sensing data evaluation:
visual interpretation
and digital image processing
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3.1. Numerical evaluation
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The basic task of image processing
and the elementary solutions of classification
Pixels belonging to categories
The intensity vectors of categories
show a typical probability distribution
in certain parts of intensity space
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Clusters and thematic categories
33 Mathematical analysis of satellite images
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3.2. Visual evaluation
34 Mathematical analysis of satellite images
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Application in remote sensing subsidy control (CwRS)
Sensor Date
Ikonos 2013.06.21.
Ikonos 2013.07.02.
GeoEye 2013.07.03.
GeoEye 2013.07.06.
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CwRS, Example#1: tree density counting
Ikonos, 2012.07.02. Pléiades, 2012.08.18.
36 Mathematical analysis of satellite images
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CwRS, Example#2: the detection of sunflower
GeoEye, 2012.07.06. Pléiades, 2012.08.18.
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CwRS, Example#3: cereal stubble (weed-free)
Ikonos, 2012.07.02. Pléiades, 2012.08.18.
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3.3. Combined solutions
39 Mathematical analysis of satellite images
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The detection of weed-infected areas
Weed infection in soybean parcels, detected with the quantitative evaluation of NDVI
map. The grades of weed infection can be observed with Pleiades images on
soybean stubble. The extent of infection can be well measured within parcels.
40 Mathematical analysis of satellite images
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Automatic delineation of forest areas Object-based Image Analysis (OBIA)
41 Mathematical analysis of satellite images
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The quantitative comparison of Pleiades images
2012.08.06. 2012.08.18.:
Left to right:
difference, 2012.08.06, 2012.08.18.
42 Mathematical analysis of satellite images
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4. Practical applications
43 Mathematical analysis of satellite images
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4.1. The National Operational
Crop Monitoring and Production Forecast
Programme (CROPMON)
44 Mathematical analysis of satellite images
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26th EARSeL Symposium May 29 – June 2, 2006, Warsaw
Data Flow in CROPMON
CROPMON
INFORMATION
EXTRACTION
SYSTEM
Precalibration,
historical data
Reference
data
Low resolution
satellite data
High resolution
satellite data
Crop maps and
area figures
Development
assessment
Yield forecast
Production Reports
W in ter w heat
L egend
Spring barley
W in ter barley
M aize
Silage m aize
Sunflow erSugarbeet
A lfalfa
Peas
O ther cereals
Spring fodder crops
1. Megye Őszi búza
(ha)
Őszi árpa
(ha)
Tavaszi árpa
(ha)
2. Pest, Budapest 69 694 13 522 7 871
Közép-Magyarország 69 694 13 522 7 871
Fejér 82 809 8 603 4 659
Komárom-Esztergom 30 598 5 621 4 744
Veszprém 36 982 15 751 9 654
Közép-Dunántúl 150 389 29 975 19 057
Győr-Moson-Sopron 68 062 13 965 24 257
Vas 39 011 7 456 13 853
Zala 22 241 7 441 6 030
Nyugat-Dunántúl 129 314 28 862 44 140
Baranya 55 873 13 734 5 959
Somogy 50 241 11 666 2 018
Tolna 54 666 10 264 1 965
Dél-Dunántúl 160 780 35 664 9 942
Borsod-Abaúj-Zemplén 58 269 5 249 20 885
Heves 52 188 6 397 10 906
Nógrád 22 031 2 040 6 673
Észak-Magyarország 132 488 13 686 38 464
Hajdú-Bihar 68 156 8 238 8 487
Jász-Nagykun-Szolnok 116 323 14 016 15 198
Szabolcs-Szatmár-Bereg 36 212 5 087 3 284
Észak-Alföld 220 691 27 341 26 969
Bács-Kiskun 93 202 27 864 6 043
Békés 124 146 21 279 3 893
Csongrád 70 870 17 375 2 930
Dél-Alföld 288 218 66 518 12 866
1. Megye Őszi búza
(kg/ha)
Őszi árpa
(kg/ha)
Tavaszi árpa
(kg/ha)
2. Pest, Budapest 3 650 3 146 2 540
Közép-Magyarország 3 650 3 146 2 540
Fejér 4 180 3 802 3 298
Komárom-Esztergom 3 909 3 486 2 834
Veszprém 3 760 3 407 3 031
Közép-Dunántúl 4 022 3 535 3 047
Győr-Moson-Sopron 3 712 3 378 3 307
Vas 3 626 3 250 3 245
Zala 3 861 3 610 3 152
Nyugat-Dunántúl 3 712 3 405 3 266
Baranya 4 346 3 867 2 934
Somogy 3 718 3 572 2 959
Tolna 4 179 3 957 3 040
Dél-Dunántúl 4 093 3 796 2 960
Borsod-Abaúj-Zemplén 3 328 2 912 2 721
Heves 3 116 2 977 2 614
Nógrád 3 193 2 841 2 541
Észak-Magyarország 3 222 2 932 2 659
Hajdú-Bihar 3 681 3 148 2 396
Jász-Nagykun-Szolnok 3 365 3 261 2 572
Szabolcs-Szatmár-Bereg 3 636 3 156 2 663
Észak-Alföld 3 507 3 207 2 528
Bács-Kiskun 3 700 3 207 2 234
Békés 3 461 3 265 2 387
Csongrád 3 421 2 976 2 582
Dél-Alföld 3 528 3 165 2 360
Drought Alert
Reports
Mathematical analysis of satellite images
Summer School in Mathematics, ELTE, Budapest, 06-10 June 2016
26th EARSeL Symposium May 29 – June 2, 2006, Warsaw
• Basics:
• combination of spatial with
spectral/temporal information
(high res. + AVHRR)
• NOAA AVHRR images
and crop maps =>
crop specific temporal profiles
• Features:
• generic: works for several crops
• year independent
• area independent
• reliable, accurate, timely
The FÖMI RSC crop yield forecast model
Part of a crop map with 1.1 km grid overlay,
corresponding to the NOAA AVHRR pixel size
Corresponding subset of a NOAA AVHRR colour composite (211 RGB)
good
bad
bad
Mathematical analysis of satellite images
Summer School in Mathematics, ELTE, Budapest, 06-10 June 2016
Area measurement: Crop maps –
detailed analysis at pixel level
Kukorica megyei területadatok 1991-2000
FÖMI TK (távérzékeléssel mérve) - KSH adat
R2 = 0,91
20000
40000
60000
80000
100000
120000
140000
160000
20000 40000 60000 80000 100000 120000 140000 160000
FÖ MI TK területadatok (ha)
KS
H t
erü
leta
da
tok
(h
a)
Őszi búza megyei területadatok 1991-2000
FÖMI TK (távérzékeléssel mérve) - KSH adat
R2 = 0,97
0
20000
40000
60000
80000
100000
120000
140000
160000
180000
0 20000 40000 60000 80000 100000 120000 140000 160000 180000
FÖ MI TK területadatok (ha)
KS
H t
erü
leta
da
tok
(h
a)
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4.2. Waterlog and flood monitoring
48 Mathematical analysis of satellite images
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Monitoring the impact of waterlog
using satellite image time series
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Waterlog maps derived from IRS WIFS
medium resolution satellite data
• good overview at country and at county level
• frequent (3-4 days), good for change detection
• cover the whole country with low cost
• quick processing
50 Mathematical analysis of satellite images
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Monitoring the change of waterlog
March 12, 1999 March 3, 1999
182 ha 86 ha
1384 ha 596 ha
38 ha 17 ha
The dynamics of waterlog
and its impact can be
quantified. The affected
areas can be assessed by
villages as well.
standing water
saturated soil
crop in water
no waterlog
natural water bodies
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Real-time flood monitoring, 2001
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4.3. The building up
and maintenance
of Land Parcel Identification System (LPIS; MePAR in Hungarian)
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Orthophoto 2011, MePAR 2012
Orthophoto 2007, MePAR 2010
Review and change management of physical blocks
Example #1 The reduction of eligible area because of road construction
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Review and change management of physical blocks
Example #2 The reduction of eligible area because of urban development
Orthophoto 2007, MePAR 2010
Orthophoto 2011, MePAR 2012
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Review and change management of physical blocks
Example #3
Orthophoto 2007, MePAR 2010
Orthophoto 2011, MePAR 2012
The reduction of eligible area because of the extension of industrial area (opencast)
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The MePAR land cover system
Scale 1 : 5000
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4.4. Control with Remote Sensing
of Agricultural Subsidies
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The comparison of claims and real situation:
• Cultivated crop
• Parcel area
• Good Agricultural and Environmental Conditions (GAEC)
Remote sensing control of area-based agricultural subsidies
Claims
(electronic)
Control in GIS
using satellite images
Result: control
documents
(electronic)
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Spring 1
Crop identification
Satellite images
Hig
h r
es
olu
tio
n
(10-2
5m
) ti
me
se
rie
s
Ve
ry h
igh
re
so
luti
on
(0,5
-1m
)
Spring 2 Summer 1 Summer 2
SPOT 2 XS
SPOT 4/5/6/7 Xi
Landsat 5/7/8 (E)TM
IRS-1C/D/P6/R2 LISS
RapidEye
VHR
Area measurement
Ikonos
QuickBird
Pléiades 1A/1B
GeoEye
WorldView 1/2/3
Basic data of CwRS:
high and very high resolution satellite images (HR, VHR)
CwRS
central
database
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Computer-aided Photo-interpretation (CAPI)
with GIS software developed within FÖMI
Digitised parcel drawing
Claim
database
High resolution satellite
image time series for
crop determination
Very high resolution (VHR)
satellite images for area
measurement
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Different crop types can be distinguished at parcel
level using Very High Resolution images
rape seed
cereal
row crop
cereal
rape seed
rape seed
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The protection of permanent grassland: at least one mowing per year or regular
grazing
Control of minimum cultivation practice
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2009-04-22, SPOT4 2009-05-20, VHR 2009-07-24, SPOT4 2009-08-17, SPOT5
Encroachment of unwanted weeds must be prevented
Control of minimum cultivation practice
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GAEC - the checking of prevention of soil erosion with DEM+GIS (DEMsteep parcels, CAPIparcels with row crops, intersection: problem!)
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5. Education and
university collaboration
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• 1983-84: Joint development of a system evaluating satellite images
• 1985-2002: Occasional collaborations, joint publications
• 1999, 2005: Segment-based classification appears in PhD projects
• 2003: The establishment of Faculty of Informatics. Further joint research
projects start
• 2004: The launching of Geospatial Information Systems educational
module. It contains the subject Analysis of Remote Sensing Images
(2+2), maintained jointly by ELTE and FÖMI
• 2006-2011: Twelve students attended at cooperative education in FÖMI
Collaboration in research and education
between ELTE and FÖMI
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Education: the course
„Analysis of Remote Sensing Images”
- Started in 2005, 5th year MSc students. The curriculum contains a series
of about 400 slides within 15 lectures.
- Presentation (I. László, FÖMI) includes the theoretical background of
remote sensing (pre-processing, image analysis, statistical classification)
and covers wide variety of practical applications.
- Lab seminars (R. Giachetta, ELTE): students implement programming
tasks in connection with remote sensing (transformations, filtering,
segmentation, clustering, classification).
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Innovative benefits of collaboration
- Main contact point: Department of Algorithms and Applications,
István Fekete assoc. prof.
- Joint research, development and educational results
- Students gain insight into current operational applications
- Introduction of new scientific results into projects
- Students may get a professional practice at FÖMI
- Rising generation of highly educated colleagues
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Thank you for your attention!
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