Geomatic methods for the analysis of data in the earth sciences:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong ; London
Springer
2000
|
| Series: | Lecture notes in earth sciences
95 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Erscheint: Juni 2000 |
| Physical Description: | IX, 256 S. Ill., graph. Darst. |
| ISBN: | 3540674764 |
Staff View
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| 245 | 1 | 0 | |a Geomatic methods for the analysis of data in the earth sciences |c Athanasios Dermanis ... (ed.) |
| 264 | 1 | |a Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong ; London |b Springer |c 2000 | |
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| 490 | 1 | |a Lecture notes in earth sciences |v 95 | |
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
AN OVERVIEW OF DATA ANALYSIS METHODS IN GEOMATICS
L
A. DERMANIS, F. SANSO, A. GRIM
DATA ANALYSIS METHODS IN GEODESY
17
A. DERMANIS AND R. RUMMEL
1. INTRODUCTIO
N 17
2
. TH
E AR
T O
F MODELIN
G 1
9
3
. PARAMETE
R ESTIMATIO
N A
S A
N INVERS
E PROBLE
M 2
4
3.1
. THE GENERAL CASE: OVERDETERMINED AND UNDERDETERMINED SYSTEM WITHOUT
FULL RANK
(R MIN(N,M) 29
3.2. THE REGULAR CASE
{R=M=N)
39
3.3. THE FULL-RANK OVERDETERMINED CASE
(R=M N)
40
3.4. THE FULL-RANK UNDERDETERMINED CASE
(R=N M)
41
3.5. THE HYBRID SOLUTION (TIKHONOV REGULARIZATION) 43
3.6. THE FULL RANK FACTORIZATION 46
4
. TH
E STATISTICA
L APPROAC
H T
O PARAMETE
R DETERMINATION
: ESTIMATIO
N AN
D
PREDICTIO
N 4
7
5
. FRO
M FINITE T
O INFINITE-DIMENSIONA
L MODEL
S (O
R FROM DISCRET
E T
O CONTINUOU
S
MODELS
) 5
3
5.1. CONTINUOUS OBSERVATIONS WITHOUT ERRORS 58
5.2. DISCRETE OBSERVATIONS AFFECTED BY NOISE 65
5.3. THE STOCHASTIC APPROACH 73
6
. BEYON
D TH
E STANDAR
D FORMULATION
: TW
O EXAMPLE
S FRO
M SATELLIT
E GEODES
Y 7
5
6.1
. DETERMINATION OF GRAVITY POTENTIAL COEFFICIENTS 75
6.2. GPS OBSERVATIONS AND INTEGER UNKNOWNS 78
REFERENCE
S 8
3
APPENDI
X A
: TH
E SINGULA
R VALU
E DECOMPOSITIO
N 8
6
LINEAR AND NONLINEAR INVERSE PROBLEMS
93
R. SNIEDER AND J. TRAMPERT
1
. INTRODUCTIO
N 9
3
2
. SOLVIN
G FINITE LINEA
R SYSTEM
S O
F EQUATION
S 9
6
2.1
. LINEAR MODEL ESTIMATION 96
2.2. LEAST-SQUARES ESTIMATION 99
2.3. MINIMUM NORM ESTIMATION 100
2.4. MIXED DETERMINED PROBLEMS 102
2.5. THE CONSISTENCY PROBLEM FOR THE LEAST-SQUARES SOLUTION 103
2.6. THE CONSISTENCY PROBLEM FOR THE MINIMUM-NORM SOLUTION 106
2.7. THE NEED FOR A MORE GENERAL REGULARIZATION 108
2.8. THE TRANSFORMATION RULES FOR THE WEIGHT MATRICES 110
2.9. SOLVING THE SYSTEM OF LINEAR EQUATIONS 112
2.9.1. SINGULAR VALUE DECOMPOSITION 113
2.9.2. ITERATIVE LEAST-SQUARES 117
3
. LINEA
R INVERS
E PROBLEM
S WIT
H CONTINUOU
S MODEL
S 120
3.1
. CONTINUOUS MODELS AND BASIS FUNCTIONS 122
3.2. SPECTRAL LEAKAGE, THE PROBLEM 123
3.3. SPECTRAL LEAKAGE, THE CURE 127
3.4. SPECTRAL LEAKAGE AND GLOBAL TOMOGRAPHY 129
4
. TH
E SINGL
E SCATTERIN
G APPROXIMATIO
N AN
D LINEARIZE
D WAVEFOR
M INVERSIO
N 131
4.1
. THE BORN APPROXIMATION 131
4.2. INVERSION AND MIGRATION 133
4.3
. THE BORN APPROXIMATION FOR TRANSMISSION DATA 136
4.4. SURFACE WAVE INVERSION OF THE STRUCTURE UNDER NORTH-AMERICA 139
5
. RAYLEIGH
S PRINCIPL
E AN
D PERTURBE
D EIGENFREQUENCIE
S 141
5.1. RAYLEIGH-SCHRODINGER PERTURBATION THEORY 141
5.2. THE PHASE VELOCITY PERTURBATION OF LOVE WAVES 143
6
. FERMAT
S THEORE
M AN
D SEISMI
C TOMOGRAPH
Y 145
6.1
. FERMAT S THEOREM, THE EIKONAL EQUATION AND SEISMIC TOMOGRAPHY 146
6.2. SURFACE WAVE TOMOGRAPHY 148
7
. NONLINEARIT
Y AN
D ILL-POSEDNES
S 150
7.1
. EXAMPLE 1: NON-LINEARITY AND THE INVERSE PROBLEM FOR THE SCHRODINGER
EQUATION.... 151
7.2. EXAMPLE 2: NON-LINEARITY AND SEISMIC TOMOGRAPHY 153
8
. MODE
L APPRAISA
L FOR NONLINEA
R INVERS
E PROBLEM
S 155
8.1. NONLINEAR BACKUS-GILBERT THEORY 155
8.2. GENERATION OF POPULATIONS OF MODELS THAT FIT THE DATA 157
8.3. USING DIFFERENT INVERSION METHODS 159
9
. EPILOGU
E 159
REFERENCE
S 160
IMAGE PREPROCESSING FOR FEATURE EXTRACTION IN DIGITAL
INTENSITY, COLOR AND RANGE IMAGES 165
W
. FORSTNE
R
1. MOTIVATIO
N 165
2
. TH
E IMAG
E MODE
L 167
2.1
. INTENSITY IMAGES 168
2.2. COLOR IMAGES 169
2.3. RANGE IMAGES 169
3
. NOIS
E VARIANC
E ESTIMATIO
N 171
3.1
. ESTIMATION OF THE NOISE VARIANCE IN INTENSITY IMAGES 172
3.2. NOISE ESTIMATION IN RANGE IMAGES 175
4
. VARIANC
E EQUALIZATIO
N 176
4.1
. PRINCIPLE 176
4.2. LINEAR VARIANCE FUNCTION 177
4.3
. GENERAL VARIANCE FUNCTION 177
5
. INFORMATIO
N PRESERVIN
G FILTERIN
G 177
5.1
. THE WIENER FILTER 177
5.2. APPROXIMATION OF THE AUTO COVARIANCE FUNCTION 178
5.3. AN ADAPTIVE WIENER FILTER FOR INTENSITY IMAGES 179
5.4. AN ADAPTIVE WIENER FILTER FOR RANGE IMAGES 181
6
. FUSIN
G CHANNELS
: EXTRACTIO
N O
F LINEA
R FEATURE
S 182
VLL
L
6.1
. DETECTING EDGE PIXELS 182
6.2. LOCALIZING EDGE PIXELS 187
7. OUTLOOK 187
REFERENCES 188
OPTIMIZATION-BASED APPROACHES TO FEATURE EXTRACTION
FROM AERIAL IMAGES
190
P. FUA, A. GRUEN AND H. LI
1. INTRODUCTIO
N 190
2
. DYNAMI
C PROGRAMMIN
G 191
2.1
. GENERIC ROAD MODEL 192
2.2. ROAD DELINEATION 193
3
. MODE
L BASE
D OPTIMIZATIO
N 196
3.1
. GENERALIZED SNAKES 198
3.2. ENFORCING CONSISTENCY 209
3.3. CONSISTENT SITE MODELING 212
4
. LSB-SNAKE
S 21
5
4.1
. PHOTOMETRIC OBSERVATION EQUATIONS 215
4.2. GEOMETRIC OBSERVATION EQUATIONS 218
4.3
. SOLUTION OF LSB-SNAKES 219
4.4. LSB-SNAKES WITH MULTIPLE IMAGES 220
4.5. ROAD EXTRACTION EXPERIMENTS 222
5
. CONCLUSIO
N 22
5
REFERENCE
S 22
6
DIFFRACTION TOMOGRAPHY THROUGH PHASE BACK-PROJECTION
229
S. VALLE, F. ROCCA AND L. ZANZI
1. INTRODUCTIO
N 22
9
2
. BOR
N APPROXIMATIO
N AN
D FOURIE
R DIFFRACTION THEORE
M 23
1
3
. DIFFRACTIO
N TOMOGRAPH
Y THROUG
H PHAS
E BACK-PROJECTIO
N 23
5
3.1. THEORY 235
4
. DIFFRACTIO
N TOMOGRAPH
Y AN
D PRE-STAC
K MIGRATIO
N 23
9
4.1
. DIFFRACTION TOMOGRAPHY WAVEPATH 239
4.2. MIGRATION WAVEPATH 241
4.3
. DIFFRACTION TOMOGRAPHY AND MIGRATION: WAVEPATH AND INVERSION PROCESS
COMPARISON 245
5
. NUMERICA
L AN
D EXPERIMENTA
L RESULT
S 24
6
5.1. DATA PRE-PROCESSING 246
5.2. NUMERICAL EXAMPLES 247
5.3. LABORATORY MODEL AND REAL CASE EXAMPLES 248
APPENDI
X A
: TH
E GREE
N FUNCTION
S 25
3
APPENDI
X B
: IMPLEMENTATIO
N DETAIL
S 25
4
APPENDI
X C
: D
T INVERSIO
N INCLUDIN
G TH
E SOURCE/RECEIVE
R DIRECTIVIT
Y FUNCTIO
N 25
4
REFERENCE
S 25
5
IX
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| id | DE-604.BV013153107 |
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| indexdate | 2024-07-09T18:39:57Z |
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| isbn | 3540674764 |
| language | English |
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| physical | IX, 256 S. Ill., graph. Darst. |
| publishDate | 2000 |
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| publisher | Springer |
| record_format | marc |
| series | Lecture notes in earth sciences |
| series2 | Lecture notes in earth sciences |
| spelling | Geomatic methods for the analysis of data in the earth sciences Athanasios Dermanis ... (ed.) Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong ; London Springer 2000 IX, 256 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in earth sciences 95 Erscheint: Juni 2000 Sciences de la terre - Mathématiques Sciences de la terre - Méthodes statistiques Mathematik Earth sciences Mathematics Earth sciences Statistical methods Geoinformatik (DE-588)7571300-7 gnd rswk-swf Inverses Problem (DE-588)4125161-1 gnd rswk-swf Geowissenschaften (DE-588)4020288-4 gnd rswk-swf Datenanalyse (DE-588)4123037-1 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Geoinformatik (DE-588)7571300-7 s DE-604 Geowissenschaften (DE-588)4020288-4 s Inverses Problem (DE-588)4125161-1 s Datenanalyse (DE-588)4123037-1 s Dermanēs, Athanasios 1948- Sonstige (DE-588)122008618 oth Lecture notes in earth sciences 95 (DE-604)BV023550940 95 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008961846&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Geomatic methods for the analysis of data in the earth sciences Lecture notes in earth sciences Sciences de la terre - Mathématiques Sciences de la terre - Méthodes statistiques Mathematik Earth sciences Mathematics Earth sciences Statistical methods Geoinformatik (DE-588)7571300-7 gnd Inverses Problem (DE-588)4125161-1 gnd Geowissenschaften (DE-588)4020288-4 gnd Datenanalyse (DE-588)4123037-1 gnd |
| subject_GND | (DE-588)7571300-7 (DE-588)4125161-1 (DE-588)4020288-4 (DE-588)4123037-1 (DE-588)4143413-4 |
| title | Geomatic methods for the analysis of data in the earth sciences |
| title_auth | Geomatic methods for the analysis of data in the earth sciences |
| title_exact_search | Geomatic methods for the analysis of data in the earth sciences |
| title_full | Geomatic methods for the analysis of data in the earth sciences Athanasios Dermanis ... (ed.) |
| title_fullStr | Geomatic methods for the analysis of data in the earth sciences Athanasios Dermanis ... (ed.) |
| title_full_unstemmed | Geomatic methods for the analysis of data in the earth sciences Athanasios Dermanis ... (ed.) |
| title_short | Geomatic methods for the analysis of data in the earth sciences |
| title_sort | geomatic methods for the analysis of data in the earth sciences |
| topic | Sciences de la terre - Mathématiques Sciences de la terre - Méthodes statistiques Mathematik Earth sciences Mathematics Earth sciences Statistical methods Geoinformatik (DE-588)7571300-7 gnd Inverses Problem (DE-588)4125161-1 gnd Geowissenschaften (DE-588)4020288-4 gnd Datenanalyse (DE-588)4123037-1 gnd |
| topic_facet | Sciences de la terre - Mathématiques Sciences de la terre - Méthodes statistiques Mathematik Earth sciences Mathematics Earth sciences Statistical methods Geoinformatik Inverses Problem Geowissenschaften Datenanalyse Aufsatzsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008961846&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV023550940 |
| work_keys_str_mv | AT dermanesathanasios geomaticmethodsfortheanalysisofdataintheearthsciences |