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On the Stability of Reconstruction of Irregularly Sampled Diffraction Fields
Joint Authors
Uzunov, Vladislav
Gotchev, Atanas
Egiazarian, Karen
Source
Advances in Optical Technologies
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-12-22
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Mathematics
Information Technology and Computer Science
Topics
Abstract EN
This paper addresses the problem of reconstruction of a monochromatic light field from data points, irregularly distributed within a volume of interest.
Such setting is relevant for a wide range of three-dimensional display and beam shaping applications, which deal with physically inconsistent data.
Two finite-dimensional models of monochromatic light fields are used to state the reconstruction problem as regularized matrix inversion.
The Tikhonov method, implemented by the iterative algorithm of conjugate gradients, is used for regularization.
Estimates of the model dimensionality are related to the number of degrees of freedom of the light field as to show how to control the data redundancy.
Experiments demonstrate that various data point distributions lead to ill-poseness and that regularized inversion is able to compensate for the data point inconsistencies with good numerical performance.
American Psychological Association (APA)
Uzunov, Vladislav& Gotchev, Atanas& Egiazarian, Karen. 2010. On the Stability of Reconstruction of Irregularly Sampled Diffraction Fields. Advances in Optical Technologies،Vol. 2010, no. 2010, pp.1-12.
https://search.emarefa.net/detail/BIM-448707
Modern Language Association (MLA)
Uzunov, Vladislav…[et al.]. On the Stability of Reconstruction of Irregularly Sampled Diffraction Fields. Advances in Optical Technologies No. 2010 (2010), pp.1-12.
https://search.emarefa.net/detail/BIM-448707
American Medical Association (AMA)
Uzunov, Vladislav& Gotchev, Atanas& Egiazarian, Karen. On the Stability of Reconstruction of Irregularly Sampled Diffraction Fields. Advances in Optical Technologies. 2010. Vol. 2010, no. 2010, pp.1-12.
https://search.emarefa.net/detail/BIM-448707
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-448707