FR3134199B1 - Method for applying a transformation to a digital hologram, digital holography device and associated computer program - Google Patents

Method for applying a transformation to a digital hologram, digital holography device and associated computer program Download PDF

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Publication number
FR3134199B1
FR3134199B1 FR2202919A FR2202919A FR3134199B1 FR 3134199 B1 FR3134199 B1 FR 3134199B1 FR 2202919 A FR2202919 A FR 2202919A FR 2202919 A FR2202919 A FR 2202919A FR 3134199 B1 FR3134199 B1 FR 3134199B1
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FR
France
Prior art keywords
transformation
digital
applying
digital hologram
computer program
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Active
Application number
FR2202919A
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French (fr)
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FR3134199A1 (en
Inventor
Patrick Gioia
Rhammad Anas El
Ngoc San Vu
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Fondation B Com
Original Assignee
Universite de Rennes 1
Orange SA
Fondation B Com
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Filing date
Publication date
Application filed by Universite de Rennes 1, Orange SA, Fondation B Com filed Critical Universite de Rennes 1
Priority to FR2202919A priority Critical patent/FR3134199B1/en
Priority to FR2211120A priority patent/FR3134198B1/en
Priority to PCT/EP2023/058041 priority patent/WO2023186924A1/en
Priority to PCT/EP2023/058414 priority patent/WO2023187126A1/en
Publication of FR3134199A1 publication Critical patent/FR3134199A1/en
Application granted granted Critical
Publication of FR3134199B1 publication Critical patent/FR3134199B1/en
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Classifications

    • G—PHYSICS
    • G03—PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
    • G03H—HOLOGRAPHIC PROCESSES OR APPARATUS
    • G03H1/00—Holographic processes or apparatus using light, infrared or ultraviolet waves for obtaining holograms or for obtaining an image from them; Details peculiar thereto
    • G03H1/04—Processes or apparatus for producing holograms
    • G03H1/08—Synthesising holograms, i.e. holograms synthesized from objects or objects from holograms
    • G03H1/0808—Methods of numerical synthesis, e.g. coherent ray tracing [CRT], diffraction specific
    • G—PHYSICS
    • G03—PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
    • G03H—HOLOGRAPHIC PROCESSES OR APPARATUS
    • G03H1/00—Holographic processes or apparatus using light, infrared or ultraviolet waves for obtaining holograms or for obtaining an image from them; Details peculiar thereto
    • G03H1/22—Processes or apparatus for obtaining an optical image from holograms
    • G03H1/2294—Addressing the hologram to an active spatial light modulator
    • G—PHYSICS
    • G03—PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
    • G03H—HOLOGRAPHIC PROCESSES OR APPARATUS
    • G03H1/00—Holographic processes or apparatus using light, infrared or ultraviolet waves for obtaining holograms or for obtaining an image from them; Details peculiar thereto
    • G03H1/04—Processes or apparatus for producing holograms
    • G03H1/08—Synthesising holograms, i.e. holograms synthesized from objects or objects from holograms
    • G03H1/0808—Methods of numerical synthesis, e.g. coherent ray tracing [CRT], diffraction specific
    • G03H2001/0825—Numerical processing in hologram space, e.g. combination of the CGH [computer generated hologram] with a numerical optical element

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Holo Graphy (AREA)

Abstract

Un hologramme numérique défini dans un plan de référence (Pref) se propage dans un espace de propagation tridimensionnel et est représenté par une représentation dans un domaine spatio-fréquentiel D à deux dimensions spatiales et deux dimensions fréquentielles. Un procédé d’application d’une transformation T à cet hologramme numérique comprend, pour la détermination de l’hologramme numérique après application de la transformation et au niveau d’un plan parallèle au plan de référence de coordonnée z, l’application d’une fonction χ de D vers D, telle que le sous-ensemble des éléments de l’espace produit D x D de forme (e, χ(e)) est le sous-ensemble défini par les éléments de la forme (x, y, , , , , ηx, ηy) pour (x, y, ηx, ηy) variant dans ℝ4, où φ est une fonction génératrice non quadratique à quatre variables (x, y, ξx, ξy) définie comme le produit scalaire , avec C une constante prédéfinie. Figure pour l’abrégé : 1A digital hologram defined in a reference plane (Pref) propagates in a three-dimensional propagation space and is represented by a representation in a spatio-frequency domain D with two spatial dimensions and two frequency dimensions. A method of applying a transformation T to this digital hologram comprises, for the determination of the digital hologram after application of the transformation and at the level of a plane parallel to the reference plane of coordinate z, the application of a function χ from D to D, such that the subset of the elements of the product space D x D of form (e, χ(e)) is the subset defined by the elements of the form (x, y , , , , , ηx, ηy) for (x, y, ηx, ηy) varying in ℝ4, where φ is a non-quadratic generating function with four variables (x, y, ξx, ξy) defined as the dot product, with C a predefined constant. Figure for abstract: 1

FR2202919A 2022-03-31 2022-03-31 Method for applying a transformation to a digital hologram, digital holography device and associated computer program Active FR3134199B1 (en)

Priority Applications (4)

Application Number Priority Date Filing Date Title
FR2202919A FR3134199B1 (en) 2022-03-31 2022-03-31 Method for applying a transformation to a digital hologram, digital holography device and associated computer program
FR2211120A FR3134198B1 (en) 2022-03-31 2022-10-26 Method and device for decoding a digital hologram, method and device for coding a digital hologram and associated computer program
PCT/EP2023/058041 WO2023186924A1 (en) 2022-03-31 2023-03-28 Method for applying a transformation to a digital hologram, associated digital holography device and computer program
PCT/EP2023/058414 WO2023187126A1 (en) 2022-03-31 2023-03-30 Method and device for decoding a digital hologram, method and device for encoding a digital hologram, and associated computer program

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
FR2202919 2022-03-31
FR2202919A FR3134199B1 (en) 2022-03-31 2022-03-31 Method for applying a transformation to a digital hologram, digital holography device and associated computer program

Publications (2)

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FR3134199A1 FR3134199A1 (en) 2023-10-06
FR3134199B1 true FR3134199B1 (en) 2024-03-08

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Family Applications (2)

Application Number Title Priority Date Filing Date
FR2202919A Active FR3134199B1 (en) 2022-03-31 2022-03-31 Method for applying a transformation to a digital hologram, digital holography device and associated computer program
FR2211120A Active FR3134198B1 (en) 2022-03-31 2022-10-26 Method and device for decoding a digital hologram, method and device for coding a digital hologram and associated computer program

Family Applications After (1)

Application Number Title Priority Date Filing Date
FR2211120A Active FR3134198B1 (en) 2022-03-31 2022-10-26 Method and device for decoding a digital hologram, method and device for coding a digital hologram and associated computer program

Country Status (2)

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FR (2) FR3134199B1 (en)
WO (1) WO2023186924A1 (en)

Family Cites Families (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
FR3068489B1 (en) 2017-06-29 2019-08-02 B<>Com METHOD FOR DIGITALLY GENERATING A HOLOGRAM, DEVICE, TERMINAL EQUIPMENT, SYSTEM AND COMPUTER PROGRAM THEREOF
FR3098367B1 (en) 2019-07-05 2023-01-27 Fond B Com Method and device for encoding a sequence of digital holograms

Also Published As

Publication number Publication date
FR3134198A1 (en) 2023-10-06
WO2023186924A1 (en) 2023-10-05
FR3134199A1 (en) 2023-10-06
FR3134198B1 (en) 2024-03-08

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Year of fee payment: 2

PLSC Publication of the preliminary search report

Effective date: 20231006

TP Transmission of property

Owner name: FONDATION B-COM, FR

Effective date: 20231121

TQ Partial transmission of property

Owner name: FONDATION B-COM, FR

Effective date: 20231121

PLFP Fee payment

Year of fee payment: 3