Table Of ContentSignal processing methods for fast and accurate
reconstruction of digital holograms
Mozhdeh Seifi
To cite this version:
Mozhdeh Seifi. Signal processing methods for fast and accurate reconstruction of digital holo-
grams. Other [cond-mat.other]. Université Jean Monnet - Saint-Etienne, 2013. English. NNT:
2013STET4014. tel-01004605
HAL Id: tel-01004605
https://theses.hal.science/tel-01004605
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Universite´ JeanMonnetdeSaintE´tienne
`
T H E S E
pourobtenirlegradede
octeur de l universite ean onnet
D ’ ´ J M
Spe´cialite´ : Image
par
eifi
Mozhdeh S
etintitule´e
Me´thodes de traitement du signal pour la
reconstruction rapide et pre´cise des
hologrammes nume´riques
prepare´eaulaboratoireHubertCurien
etsoutenuele3Octobre,2013
lacommissiond’examen:
Rapporteurs: FlorenceTupin - Professeur,TelecomParis-Tech,Paris
MichelGross - Directeurderecherche,CharlesCoulombLab,Montpellier
Examinateurs: Franc¸oisePeyrin - Directricederecherche,Universite´ Lyon1,Lyon
EricThie´baut - Astronomeadjoint,Centrederechercheastrophysique,Lyon
Jean-LouisMarie´ - Charge´ derecherche,LMFA,Lyon
Lo¨ıcMe´e`s - Charge´ derecherche,LMFA,Lyon
Directeur: RolfClackdoyle - Directeurderecherche,Universite´ JeanMonnet,St-E´tienne
Co-directrice: CorinneFournier - Maˆıtredeconfe´rence,Universite´ JeanMonnet,St-E´tienne
Co-directeur: Lo¨ıcDenis - Maˆıtredeconfe´rence,Universite´ JeanMonnet,St-E´tienne
UniversityofJeanMonnetofSaintE´tienne
P H D T H E S I S
toobtainthetitleof
PhD of Science
Major : Image Processing
Defendedby
eifi
Mozhdeh S
Entitled
Signal processing methods for fast and
accurate reconstruction of digital
holograms
preparedinHubertCurienLaboratory
anddefendedonOctober3,2013
Jury:
Reviewers: FlorenceTupin - Professor,TelecomParis-Tech,Paris
MichelGross - Researchdirector,CharlesCoulombLab,Montpellier
Examinators: Franc¸oisePeyrin - Researchdirector,Universite´ Lyon1,Lyon
EricThie´baut - Astronomer,AstrophysicsresearchcenterofLyon,Lyon
Jean-LouisMarie´ - Researchassociate,LMFA,Lyon
Lo¨ıcMe´e`s - Researchassociate,LMFA,Lyon
Supervisor: RolfClackdoyle - Researchdirector,JeanMonnetuniversity,St-E´tienne
Co-supervisor: CorinneFournier - Assistantprofessor,JeanMonnetuniversity,St-E´tienne
Co-supervisor: Lo¨ıcDenis - Assistantprofessor,JeanMonnetuniversity,St-E´tienne
✍
❨❑✠◗✠✣✡º◗❑✒ ❆❑✳ Ø➺ (cid:224)✠ ❆❶➺ (cid:224)✠ ❅ ◗º ❨❏✠❑✡æ➹
❨❑✠◗✠✣✡❣✠◗❑✳ (cid:224)✠ ❆❏✠❦✒ ❨❑✠◗✣✡(cid:214)(cid:223)✳ Ø➺ (cid:224)✠ ❆❷ (cid:224)✠ ❅P✠
✍
✠ ✠ ✏ ✑
—❅❨(cid:211) (cid:213)(cid:230)✡❑❅ P❅ ❺æ❶➟(cid:211) (cid:240) œ(cid:215) ❆❑✳ ❆(cid:211)
❨❑✠◗✠✣✡➶❑✠❅ (cid:224)✠ ❆❏✠❦✒ (cid:224)✠ ❆(cid:211)◗(cid:229)✑❸❦ Ø❑✳ Ø➺ ❨❷✑❆❑✳
—❆❏✡❦✠ ◗(cid:212)➠ (cid:213)(cid:230)✡➸❦
ToMansoureh,Yahya,HastiandSoroushfortheirloveandsupport
and
toMostafa,mysoulmate,whomadeitallpossible...
Acknowledgements
First of all, I would like to thank Professor Florence Tupin and Dr. Michel Gross for
acceptingtoreviewthismanuscript. Theircommentsonthemanuscripthavehelpedme
toclarifytheconceptsandexpandthetargetaudienceofthiswork. Inaddition, Iwould
liketothankDr.FrancoisePeyranforacceptingtobethepresidentofthethesiscommittee.
AsapartofourcollaborationwiththeobservatoryofLyon,Ihavegotthechancetomeet
EricThie´baut,abrightmindwhoseeveryquestionhasdemandedmetolookkeenerinto
the problem. I would like to thank him for accepting to be in the committee and for his
fruitfulcommentsduringthedefense.
DuringmyPhDstudiedandourcollaborationwiththedepartmentoffluidmechanicsand
acousticsofLyon, IhavegotthechancetoworkwithJean-LouisMarie´, Lo¨ıcMe´e`sand
NathalieGrosjean. Theirexpertiseinfluidmechanicsandexperimentalaspectsofdigital
holographywasourcoreoracleforthestudyofetherevaporation(chapter5ofthisthesis).
Duringourcollaboration,Ihavebeenexposedtoaglanceofthemysterieswrappedaround
suchascientificwork. Iwouldliketothankthemforgivingmethisopportunity.
IwouldalsoliketothankmysupervisorRolfClackdoyle,whosescientificpointofview
has motivated me to think in a sound framework. His thoughtful guidances through the
past three years have helped me to learn not only about the target of the study, but also
aboutallthenon-scientificaspectsofaPhDstudy,fromwritinggenuinepaperstomanag-
ingthecomplicatedtaskofwritingaPhDthesis. Hissenseofhumorhasenlightenedmy
waythroughthestressfulmomentsofthisworkandIshallsincerelythankhimforallof
hissupports.
I would like to express my deep gratitude to my direct supervisor Corinne Fournier for
her support and guidance throughout my PhD study. Her patience, motivation and wast
knowledgeofthetopichasnourishedmyworkthroughoutthesethreeyears. Shehashad
thetorchlighteningmypathintheunknownfieldofdigitalholography. Herkeenattitude
tosciencehasgreatlyinfluencedmypointofview,andwithherattentionandfriendliness,
Ihavefeltconfidentwithmywork.
MysincerethanksalsogoestomyothersupervisorLo¨ıcDenis,whohasconstantlyopened
my eyes to new possibilities of this line of research. Our discussions have enriched the
quality of my reasoning and his guidance has encouraged me to think out of the box. I
wouldliketothankhimforbeingsuchanice,friendlyandsupportivementor.
My last but not least thanks go to the friendly faculty and staff of the Hubert Curien
laboratoryandeachandeveryoneofmydearfriendswhomadethisadventureapleasant
journey.
iv
Contents
Tableofcontents iv
Notations ix
Context(fr) 1
Background 3
1 Volumereconstructionusingdigitalholography 7
Re´sume´ (fr) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
1.1 Digitalholography: a3Dimagingtechnique . . . . . . . . . . . . . 8
1.1.1 History . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
1.1.2 Applicationsofdigitalholography . . . . . . . . . . . . . . . 9
1.1.3 Imagingsetups . . . . . . . . . . . . . . . . . . . . . . . . . 10
1.2 In-linedigitalholography . . . . . . . . . . . . . . . . . . . . . . . . 12
1.3 Hologramformationmodel . . . . . . . . . . . . . . . . . . . . . . . 13
1.4 Hologramreconstruction . . . . . . . . . . . . . . . . . . . . . . . . 18
1.4.1 Backgroundremovalmethod . . . . . . . . . . . . . . . . . . 20
1.4.2 Lightback-propagationreconstructionapproaches . . . . . . 21
Advantagesanddisadvantagesoftheclassicalapproach . . . 26
1.4.3 Non-conventionalhologramprocessingmethods . . . . . . . 30
Objectdetectioninatransformedspace: analysismethods . . 30
Thecategoryofinverseproblemsapproaches . . . . . . . . . 31
2 Inverseproblemsapproachestodigitalhologramreconstruction 35
Re´sume´ (fr) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
2.1 Abriefoverviewoninverseproblemsformulationofreconstructionin
digitalholography . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
2.2 AssumptionofwhiteandGaussiannoiseandthepossibilitiesitbrings
on . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38
v
Description:to Mostafa, my soul mate, who made it all possible. 2 Inverse problems approaches to digital hologram reconstruction. 35. Résumé(fr) . improvement of electron microscopy and won the Nobel prize of physics for this in-.
