 |
|
|
|
| HAL : hal-00464787, version 1 |
| DOI : 10.1364/JOSAA.27.001856 |
| Fiche détaillée |  Récupérer au format |
|
|
| Journal of the Optical Society of America A 27, 8 (2010) 1856-1862 |
|
|
|
|
| On the single point resolution of on-axis digital holography |
|
|
Corinne Fournier 1Loïc Denis 2 |
|
|
| (28/07/2010) |
|
|
|
| On-axis Digital Holography is becoming widely used for its time-resolved 3D imaging capabilities. A 3D volume can be reconstructed from a single hologram. Digital Holography (DH) is applied as a metrological tool in experimental mechanics, biology, fluid dynamics and therefore the estimation and the improvement of the resolution are current challenges. However the resolution depends on experimental parameters such as the recording distance, the sensor definition, the pixel size and also on the location of the object in the field of view. This paper derives resolution bounds in DH by using estimation theory. The single point resolution expresses the standard deviations on the estimation of the spatial coordinates of a point source from its hologram. Cramer-Rao lower bounds give a lower limit for resolution. The closed-form expressions of the Cramer-Rao lower bounds are obtained for a point-source located on and out of the optical axis. The influence of the 3D location of the source, the numerical aperture and the signal-to-noise ratio are studied. |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | LAboratoire Hubert Curien (LAHC) |
|
|
|
CNRS : UMR5516 – Université Jean Monnet - Saint-Etienne |
|
|
| 2 : | Centre de Recherche Astrophysique de Lyon (CRAL) |
|
|
|
CNRS : UMR5574 – INSU – Université Claude Bernard - Lyon I – École Normale Supérieure - Lyon |
|
|
|
|
|
|
|
|
|
| eris |
|
|
|
|
| Domaine | : | Informatique/Traitement du signal et de l'image Informatique/Traitement des images Sciences de l'ingénieur/Traitement du signal et de l'image |
|
|
| digital holography – Image processing – three-dimensional reconstruction – Inverse problems – estimation theory – Cramer Rao Lower Bound |
|
|
|
| Liste des fichiers attachés à ce document : | |||||
|
|||||
|
|
|
| hal-00464787, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00464787 | |
| oai:hal.archives-ouvertes.fr:hal-00464787 | |
| Contributeur : Corinne Fournier | |
| Soumis le : Mercredi 17 Mars 2010, 22:40:07 | |
| Dernière modification le : Jeudi 15 Septembre 2011, 13:10:51 | |
