Digital holography:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London
ISTE [u.a.]
2012
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | XIII, 358 S. Ill., graph. Darst. |
| ISBN: | 9781848213449 |
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MARC
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|---|---|---|---|
| 001 | BV040037617 | ||
| 003 | DE-604 | ||
| 005 | 20120816 | ||
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| 008 | 120411s2012 xxkad|| |||| 00||| eng d | ||
| 010 | |a 2011050552 | ||
| 020 | |a 9781848213449 |c hardback |9 978-1-84821-344-9 | ||
| 035 | |a (OCoLC)796197924 | ||
| 035 | |a (DE-599)BVBBV040037617 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 044 | |a xxk |c GB | ||
| 049 | |a DE-703 | ||
| 050 | 0 | |a QC449 | |
| 082 | 0 | |a 621.36/750285 | |
| 084 | |a UH 5450 |0 (DE-625)145662: |2 rvk | ||
| 100 | 1 | |a Picart, Pascal |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Digital holography |c Pascal Picart ; Junchang Li |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a London |b ISTE [u.a.] |c 2012 | |
| 300 | |a XIII, 358 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Holography |x Mathematics | |
| 650 | 4 | |a Holography |x Data processing | |
| 650 | 4 | |a Image processing |x Digital techniques | |
| 650 | 7 | |a COMPUTERS / Programming / Games |2 bisacsh | |
| 650 | 0 | 7 | |a Holografie |0 (DE-588)4025643-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Holografie |0 (DE-588)4025643-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Li, Shuhua |d 1890-1979 |e Sonstige |0 (DE-588)139815872 |4 oth | |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024894356&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-024894356 | ||
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| _version_ | 1804149037302022144 |
|---|---|
| adam_text | Table
of
Contents
Introduction
........................................ xv
Chapter
1.
Mathematical Prerequisites
....................... 1
1.1.
Frequently used special functions
......................, 1
1.1.1.
The rectangle function
.......................... 2
1.1.2.
The sine function
............................. 3
1.1.3.
The sign function
............................. 4
1.1.4.
The triangle function
.......................... 5
1.1.5.
The disk function
............................. 5
1.1.6.
The Dirac
б
function
............................ 6
1.1.6.1.
Definition
.............................. 6
1.1.6.2.
Fundamental properties
...................... 8
1.1.7.
The comb function
............................ 9
1.2.
Two-dimensional Fourier transform
..................... 10
1.2.1.
Definition and existence conditions
................... 10
1.2.2.
Theorems related to the Fourier transform
............... 11
1.2.2.1.
Linearity
............................... 13
1.2.2.2.
Similarity
............................... 13
1.2.2.3.
Translation
.............................. 13
1.2.2.4.
Parseval s theorem
......................... 13
1.2.2.5.
The convolution theorem
..................... 14
1.2.2.6.
The autocorrelation theorem
................... 14
1.2.2.7.
The duality theorem
........................ 14
1.2.3.
Fourier transforms in polar coordinates
................. 15
1.3.
Linear systems
.................................. 17
1.3.1.
Definition
.................................. 17
1.3.2.
Impulse response and superposition integrals
............. 18
1.3.3.
Definition ofa two-dimensional linear shift-invariant system.
... 19
vi Digital
Holography
1.3.4.
Transfer
fonctions.............................
20
1.4.
The sampling
theorem
............................. 21
1.4.1.
Sampling a
continuous function
..................... 21
1.4.2.
Reconstruction of the original function
................. 23
1.4.3.
Space-bandwidth product
......................... 25
Chapter!. The Scalar Theory of Diffraction
................... 27
2.1.
Representationofan
optical wave by a complex function
........ 28
2.1.1.
Representation of a monochromatic wave
............... 28
2.1.2.
Complex amplitude of the optical field in space
............ 29
2.1.2.1.
Plane waves
............................. 29
2.1.2.2.
Spherical waves
........................... 30
2.1.3.
Complex amplitudes of plane and spherical waves in a
front plane
...................................... 31
2.1.3.1.
Complex amplitude of
aplane
wave in a front plane
..... 31
2.1.3.2.
Complex amplitude of a spherical wave in a front plane.
. . 32
2.2.
Scalar theory of diffraction
........................... 33
2.2.1.
Wave equation
............................... 33
2.2.2.
Harmonic plane wave solutions to the wave equation
........ 34
2.2.3.
Angular spectrum
.............................. 35
2.2.4. Kirchhoff
and Rayleigh-Sommerfeld formulae
............ 39
2.2.5.
Fresnel approximation and Fresnel diffraction integral
........ 41
2.2.6.
The
Fraunhofer
approximation
...................... 43
2.3.
Examples of
Fraunhofer
diffraction patterns
................ 45
2.3.1. Fraunhofer
diffraction pattern from a rectangular aperture
..... 45
2.3.2. Fraunhofer
diffraction pattern from a circular aperture
........ 46
2.3.3. Fraunhofer
diffraction pattern from a
sinusoidal-amplitude grating
........................... 49
2.4.
Some examples and uses of Fresnel diffraction
............... 51
2.4.1.
Fresnel diffraction from a sinusoidal-amplitude grating
....... 51
2.4.2.
Fresnel diffraction from a rectangular aperture
............ 54
2.5.
Collins formula
................................. 57
2.5.1.
Description of an optical system by an
ABCD transfer matrix
............................... 58
2.5.2.
ABCD law and paraxial systems equivalent to a lens
......... 62
2.5.2.1.
ABCD law of a spherical wave propagating
across an optical system
........................... 62
2.5.2.2.
System equivalent to a lens
.................... 64
2.5.2.3.
Properties of the transfer matrix
................. 65
2.5.3.
Proof of Collins formula
......................... 66
2.5.3.1.
Transmission from a thin lens
.................. 67
2.5.3.2.
Expression of the ideal image
.................. 68
Table of
Contents
vii
2.5.3.3.
Proof of Collins formula
..................... 70
2.5.4.
Comparison between Collins formula and
the Fresnel integral
................................. 72
2.6.
Conclusion
.................................... 74
Chapter
3.
Calculating Diffraction by Fast Fourier Transform
....... 77
3.1.
Relation between the discrete and analytical Fourier transforms
.... 78
3.1.1.
Sampling and periodic expansion of a continuous
two-dimensional function
............................. 78
3.1.2.
The relation between the discrete and
continuous Fourier transforms
.......................... 79
3.2.
Calculating the Fresnel diffraction integral by FFT
............ 83
3.2.1.
Calculating diffraction by the S-FFT method
............. 84
3.2.2.
Numerical calculation and experimental demonstration
....... 86
3.2.3.
The D-FFT method
............................. 88
3.2.4.
Practical sampling conditions due to the energy
conservation principle
............................... 89
3.2.5.
Experimental demonstration of the D-FFT method
.......... 90
3.3.
Calculation of the classical diffraction formulae using FFT
....... 92
3.3.1. Kirchhoffand Rayleigh-Sommerfeld
formulae in
convolution form
.................................. 92
3.3.2.
Unitary representation of the classical diffraction formulae
..... 94
3.3.3.
Study of the sampling conditions of the classical formulae
..... 95
3.3.4.
Example of calculations of the classical diffraction formulae
.... 97
3.3.5.
Calculation of diffraction by convolution: summary
......... 100
3.4.
Numerical calculation of Collins formula
................. 101
3.4.1.
Collin s direct and inverse formulae
................... 101
3.4.2.
Calculating Collins formula by S-FFT
................. 103
3.4.3.
Calculating the inverse Collins formula by S-FFT
.......... 105
3.4.4.
Calculating Collins formula by D-FFT
................. 106
3.4.5.
Calculating the inverse Collins formula by D-FFT
.......... 108
3.4.6.
Numerical calculation and experimental demonstration
....... 109
3.4.6.1.
Demonstration of the S-FFT and S-IFFT methods
...... 110
3.4.6.2.
Demonstration of the D-FFT method
..............
Ill
3.5.
Conclusion
.................................... 113
Chapter
4.
Fundamentals of Holography
..................... 115
4.1.
Basics of holography
.............................. 116
4.1.1.
Leith-Upatnieks holograms
........................ 118
4.1.1.1.
Illumination in the propagation direction of
the original reference wave
......................... 120
viii Digital
Holography
4.1.1.2.
Illumination with a wave propagating along the z-axis.
... 121
4.1.2.
Condition for the separation of the twin images and
the zero order
.................................... 123
4.1.2.1.
Case where the reference wave is planar
............ 123
4.1.2.2.
The case where the reference wave is no longer planar
... 125
4.2.
Partially coherent light and its use in holography
............. 127
4.2.1.
Analytic signal describing a non-monochromatic wave
....... 127
4.2.1.1.
Analytic signal describing a monochromatic wave
...... 127
4.2.1.2.
Analytic signal describing a non-monochromatic wave
. . . 128
4.2.1.3.
Analytic signal and spectrum of a laser wave
......... 129
4.2.2.
Recording a hologram with non-monochromatic light
........ 131
4.2.3.
Total coherence approximation conditions
............... 134
4.2.3.1.
Identical wave train model
.................... 134
4.2.3.2.
Temporal coherence of a source emitting
identical wave trains
............................. 135
4.2.4.
Recording a Fresnel hologram
...................... 139
4.3.
Study of the Fresnel hologram of point source
............... 141
4.3.1.
Reconstructing the hologram of a point source
............ 142
4.3.1.1.
Hologram illuminated by a spherical wave
with the same wavelength
.......................... 142
4.3.1.2.
Hologram illuminated by a spherical wave
with a different wavelength
......................... 145
4.3.1.3.
Case where the reference and reconstruction waves
are plane waves
................................ 145
4.3.2.
Magnifications
............................... 146
4.3.2.1.
Transverse magnification of the reconstructed image
.... 146
4.3.2.2.
Longitudinal magnification
.................... 147
4.3.3.
Resolution of the reconstructed image
................. 147
4.3.3.1.
Influence of the size of the illuminating source
........ 147
4.3.3.2.
Influence of the spectral width of the light source
...... 148
4.4.
Different types of hologram
.......................... 149
4.4.1.
The
Fraunhofer
hologram
......................... 149
4.4.2.
The Fourier hologram
........................... 150
..................... 153
W,).
...................... 153
..................... 154
4.4.2.1.
Component
<
4.4.2.2.
Component
Cu2
4.4.2.3.
Component
Ciï3
4.4.2.4.
Component
Сії4 х„Уі)
...................... 154
4.4.3.
The lensless Fourier hologram
...................... 155
4.4.4.
The image hologram
............................ 158
4.4.5.
The phase hologram
............................ 160
4.5.
Conclusion
........................ .... 163
Table
of
Contents ix
Chapter
5. Digital
Off-Axis Fresnel Holography
................. 165
5.1.
Digital off-axis holography and wavefront
reconstruction by S-FFT
............................... 166
5.1.1.
Characteristics of the diffraction from a
digital hologram impacted by a spherical wave
................ 166
5.1.1.1.
Virtual object
............................ 168
5.1.1.2.
Conjugate object
.......................... 169
5.1.1.3.
Zero order
.............................. 170
5.1.2.
Optimization of the experimental parameters
............. 172
5.1.3.
Experimental reconstruction by S-FFT
................. 173
5.1.4.
Quality of the reconstructed image
................... 176
5.2.
Elimination of parasitic orders with the S-FFT method
.......... 183
5.2.1.
Diffraction efficiency of a digital hologram
.............. 184
5.2.2.
Methods of direct elimination
...................... 185
5.2.2.1.
Method directly eliminating the object and
reference waves
................................ 185
5.2.2.2.
Method with an arbitrary phase shift of the
reference wave
................................ 188
5.2.3.
Method of extracting the complex amplitude of the
object wave
..................................... 189
5.3.
Wavefront reconstruction with an adjustable magnification
....... 191
5.3.1.
Convolution with adjustable magnification
.............. 192
5.3.2.
Experiment with adjustable magnification
............... 195
5.3.3.
Elimination of the perturbation due to the zero order
......... 197
5.3.3.1.
Spectral distribution and determination of the
center of the object wave
.......................... 197
5.3.3.2.
Spectral position of the object wave
............... 200
5.3.4.
Method eliminating the perturbation due to the zero order
..... 201
5.4.
Filtering in the image and reconstruction planes by the
FIMG4FFT method
.................................. 202
5.4.1.
Adjustable magnification reconstruction by the
FIMG4FFT method
................................ 203
5.4.1.1.
Filteringthe image plane
..................... 203
5.4.1.2.
Experimental results
........................ 205
5.4.1.3.
Local reconstruction by the FIMG4FFT method
....... 205
5.5.
DBFT method and the use of filtering in the image plane
........ 207
5.5.1.
DBFT method
................................ 207
5.5.2.
Sampling ofthe DBFT algorithm
.................... 208
5.5.3.
Improvement ofthe DBFT method
................... 210
5.5.4.
Experimental demonstration of the DDBFT method
......... 211
5.6.
Digital color holography
............................ 212
5.6.1.
Recording a digital color hologram
................... 213
χ
Digital
Holography
5.6.2.
Standardization of the physical scale of reconstructed
monochromatic images
............................... 215
5.6.3.
Fresnel transform with wavelength-dependant zero-padding
.... 216
5.6.4.
Experimental study of the different methods of
reconstructing color images
............................ 218
5.6.4.1.
Two-color image calculated by the
zero-padding method
............................. 220
5.6.4.2.
Reconstruction by the FIMG4FFT and the
DDBFT with adjustable magnification
.................. 221
5.6.4.3.
Three-color digital holography
.................. 222
5.7.
Digital phase hologram
............................. 224
5.7.1.
Formation of a digital phase hologram and
reconstruction by S-FFT
............................. 225
5.7.2.
Experimental demonstration
....................... 227
5.8.
Depth of focus of the reconstructed image
................. 229
5.8.1.
Theoretical analysis
............................ 229
5.8.2.
Comparison with a digital holographic simulation
.......... 231
5.8.3.
Experiments
................................. 233
5.9.
Conclusion
.................................... 235
Chapter
6.
Reconstructing Wavefronts Propagated through
an Optical System
.................................... 237
6.1.
Theoretical basis
................................. 238
6.1.1.
Case of a convergent lens
......................... 239
6.1.2.
Impulse response of the process
..................... 240
6.1.2.1.
Matrix description of the digital holographic system
..... 240
6.1.2.2.
Impulse response from the digital holographic system.
. . . 241
6.1.2.3.
Experimental reconstruction with an afocal system
...... 243
6.2.
Digital holography with a zoom
........................ 246
6.2.1.
Principle of the zoom
........................... 247
6.2.2.
Study of the zoom
............................. 248
6.2.3.
Design of the zoom
............................. 249
6.2.4.
Experimental validation
.......................... 251
6.3.
Reconstructing an image by Collins formula.
............... 251
6.3.1.
Reconstruction algorithm
......................... 251
6.3.1.1.
Experimental setup
......................... 251
6.3.1.2.
Reconstruction by calculating the
inverse Collins formula
........................... 252
6.3.2.
Adjustable-magnification reconstruction after
propagation across an optical system
...................... 254
6.3.2.1.
Reconstruction with an adjustable
magnification in the detector space
.................... 255
Table
of
Contents xi
6.3.2.2.
Experimental demonstration for the reconstruction of
color images
.................................. 257
6.4.
Using the classical diffraction formulae to reconstruct the
wavefront
after propagation across an optical system
.............. 259
6.4.1.
Use of the rigorous diffraction formulae
................ 259
6.4.1.1.
Simulation of the overall process
................ 260
6.4.1.2.
Experimental results
........................ 264
6.4.2.
Reconstruction of the object wave in the object and
image spaces
.................................... 265
6.4.2.1.
Parameters
.............................. 265
6.4.2.2.
Reconstruction in the image space
................ 266
6.4.2.3.
Reconstruction in the object space
................ 267
6.4.2.4.
Experimental results
........................ 268
6.5.
Conclusion
.................................... 269
Chapter
7.
Digital Holographic
Interferometry
and Its Applications
. ... 271
7.1.
Basics of holographic
interferometry
..................... 273
7.1.1.
Reconstructing the phase of the object field
.............. 273
7.1.2.
Optical phase variations and the sensitivity vector
.......... 274
7.1.3.
Phase difference method
.......................... 275
7.1.4.
Spatial filtering of the phase
....................... 276
7.1.5.
Phase unwrapping
............................. 277
7.1.6.
Out-of-plane sensitivity
.......................... 279
7.1.7.
In-plane sensitivity
............................. 280
7.1.8. 3D
sensitivity
................................ 280
7.1.9.
Sensitivity variation across the field of view
.............. 282
7.2.
Digital holographic microscopy
........................ 282
7.2.1.
Principles and advantages
......................... 282
7.2.2.
Architectures
................................ 283
7.2.3.
Reconstruction of the object field
.................... 285
7.2.4.
Phase contrast
................................ 287
7.3.
Two-wavelength profilometry
......................... 288
7.3.1.
Principle
................................... 288
7.3.2.
Two-wavelength profilometry with
spatio-chromatic multiplexing
.......................... 289
7.4.
Digital holographic photomechanics
..................... 291
7.4.1.
Introduction
................................. 291
7.4.2.
Twin-sensitivity measurement with
monochromatic multiplexing
........................... 292
7.4.2.1.
Principle
............................... 292
7.4.2.2.
Application: polymer concrete in a
three-point bending test
........................... 293
xii
Digital
Holography
7.4.2.3.
Experimental results
........................ 294
7.4.2.4.
Comparison with finite element modeling
........... 296
7.4.3.
Twin-sensitivity measurement with spatio-chromatic
multiplexing
..................................... 297
7.4.3.1.
Principle
............................... 297
7.4.3.2.
Application to crack detection in
electrical components
............................ 297
7.4.4. 3D
measurement by three-color digital holography
.......... 299
7.4.4.1.
Principle
............................... 299
7.4.4.2.
Illustration
.............................. 301
7.4.4.3.
Application to the study of the
mechanical behavior of composite materials
............... 302
7.5.
Time-averaged digital holography
...................... 303
7.5.1.
Principle
................................... 303
7.5.2.
Applications
................................. 304
7.5.2.1.
Modal analysis
........................... 304
7.5.2.2.
Analog/digital comparison
.................... 305
7.5.2.3.
Time-averaged phase
....................... . 307
7.6.
Tracking high-amplitude vibrations
..................... 309
7.6.1.
Introduction
................................. 309
7.6.2.
Principle
................................... 310
7.7.
Three-color digital holographic
interferometry
for
fluid mechanics
.................................... 314
7.7.1.
Principle
................................... 314
7.7.2.
Application to turbulent flows
...................... 317
7.8.
Conclusion
.................................... 318
Appendix. Examples of Digital Hologram
Reconstruction Programs
............................... 319
A
1.1.
Diffraction calculation using the S-FFT algorithm
............ 319
Al.l.l.CodefortheprogramrLIMl.m
.................... 319
Al.1.2. Examples of diffraction calculations using
LIMI.
m.......
.■ 321
A1.2. Diffraction calculation by
D-FFT
...................... 323
А1.2.1.
Code for the program: LIM2.m
.................... 323
Al.2.2. Examples of diffraction calculations using LIM2.m
........ 325
A1.3. Simulation of a digital hologram
...................... 326
АЬЗЛ.
Code for the program: LIM3.m
.................... 326
АІ.З.г.
Example of the calculation of a hologram with LIM3.m
...... 329
A1.4. Reconstruction of a hologram by S-FFT
.................. 330
Al.4.1. Code for the program: LIM4.m
.................... 330
A
1.4.2.
Example of reconstruction with LIM4.m
............... 332
Table
of
Contents
xiii
Al.
5.
Adjustable-magnification reconstruction by D-FFT
........... 333
Al.S.l. Code for the program: LIM5.m
.................... 333
A
1.5.2.
Example of adjustable-magnification reconstruction
with LIM5.m
.................................... 336
Bibliography
....................................... 339
Index
............................................ 355
|
| any_adam_object | 1 |
| author | Picart, Pascal |
| author_GND | (DE-588)139815872 |
| author_facet | Picart, Pascal |
| author_role | aut |
| author_sort | Picart, Pascal |
| author_variant | p p pp |
| building | Verbundindex |
| bvnumber | BV040037617 |
| callnumber-first | Q - Science |
| callnumber-label | QC449 |
| callnumber-raw | QC449 |
| callnumber-search | QC449 |
| callnumber-sort | QC 3449 |
| callnumber-subject | QC - Physics |
| classification_rvk | UH 5450 |
| ctrlnum | (OCoLC)796197924 (DE-599)BVBBV040037617 |
| dewey-full | 621.36/750285 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.36/750285 |
| dewey-search | 621.36/750285 |
| dewey-sort | 3621.36 6750285 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik Elektrotechnik / Elektronik / Nachrichtentechnik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV040037617 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:16:39Z |
| institution | BVB |
| isbn | 9781848213449 |
| language | English |
| lccn | 2011050552 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024894356 |
| oclc_num | 796197924 |
| open_access_boolean | |
| owner | DE-703 |
| owner_facet | DE-703 |
| physical | XIII, 358 S. Ill., graph. Darst. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | ISTE [u.a.] |
| record_format | marc |
| spelling | Picart, Pascal Verfasser aut Digital holography Pascal Picart ; Junchang Li 1. publ. London ISTE [u.a.] 2012 XIII, 358 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Datenverarbeitung Mathematik Holography Mathematics Holography Data processing Image processing Digital techniques COMPUTERS / Programming / Games bisacsh Holografie (DE-588)4025643-1 gnd rswk-swf Holografie (DE-588)4025643-1 s DE-604 Li, Shuhua 1890-1979 Sonstige (DE-588)139815872 oth Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024894356&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Picart, Pascal Digital holography Datenverarbeitung Mathematik Holography Mathematics Holography Data processing Image processing Digital techniques COMPUTERS / Programming / Games bisacsh Holografie (DE-588)4025643-1 gnd |
| subject_GND | (DE-588)4025643-1 |
| title | Digital holography |
| title_auth | Digital holography |
| title_exact_search | Digital holography |
| title_full | Digital holography Pascal Picart ; Junchang Li |
| title_fullStr | Digital holography Pascal Picart ; Junchang Li |
| title_full_unstemmed | Digital holography Pascal Picart ; Junchang Li |
| title_short | Digital holography |
| title_sort | digital holography |
| topic | Datenverarbeitung Mathematik Holography Mathematics Holography Data processing Image processing Digital techniques COMPUTERS / Programming / Games bisacsh Holografie (DE-588)4025643-1 gnd |
| topic_facet | Datenverarbeitung Mathematik Holography Mathematics Holography Data processing Image processing Digital techniques COMPUTERS / Programming / Games Holografie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024894356&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT picartpascal digitalholography AT lishuhua digitalholography |