Makale detayı · 2010
Fast and accurate computation of two-dimensional non-separable quadratic-phase integrals
Dergi
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISIONISSN 1084-7529
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- Yıl
- 2010
- Tür
- article
Veri kaynağı ayrımı
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- YÖKSİS dergi adı JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION
- Katalog eşleşmesi (ISSN) Journal of the Optical Society of America A: Optics and Image Science, and Vision
- OpenAlex OpenAlex zenginleştirmesi (özet, atıf, konular)
Özet
OpenAlex · İngilizce
We report a fast and accurate algorithm for numerical computation of two-dimensional non-separable linear canonical transforms (2D-NS-LCTs). Also known as quadratic-phase integrals, this class of integral transforms represents a broad class of optical systems including Fresnel propagation in free space, propagation in graded-index media, passage through thin lenses, and arbitrary concatenations of any number of these, including anamorphic/astigmatic/non-orthogonal cases. The general two-dimensional non-separable case poses several challenges which do not exist in the one-dimensional case and the separable two-dimensional case. The algorithm takes approximately N log N time, where N is the two-dimensional space-bandwidth product of the signal. Our method properly tracks and controls the space-bandwidth products in two dimensions, in order to achieve information theoretically sufficient, but not wastefully redundant, sampling required for the reconstruction of the underlying continuous functions at any stage of the algorithm. Additionally, we provide an alternative definition of general 2D-NS-LCTs that shows its kernel explicitly in terms of its ten parameters, and relate these parameters bidirectionally to conventional ABCD matrix parameters.
Konular
Atıflar
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55 atıf
OpenAlex cited_by_count (önbellek / veritabanı)
Yerel katalogda bu makaleye atıf yapan 11 yayın (OpenAlex referans eşleşmesi; tam dünya listesi değildir).
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- Sparse representation of two- and three-dimensional images with fractional Fourier, Hartley, linear canonical, and Haar wavelet transforms 2017
- Fast and accurate algorithm for the computation of complex linear canonical transforms 2010
- Operator theory-based computation of linear canonical transforms 2021
- Fast Algorithms for Digital Computation of Linear Canonical Transforms 2015
- Linear Canonical Domains and Degrees of Freedom of Signals and Systems 2015
- Digital computation of fractional Fourier and linear canonical transforms and sparse image representation 2017
- Relationship between the beam propagation method and linear canonical and fractional Fourier transforms 2022
- Fast and accurate linear canonical transform algorithms 2015