2014
DOI: 10.1117/12.2061588
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Morlet Wavelet transformed holograms for numerical adaptive view-based reconstruction

Abstract: We provide an efficient method of using Morlet wavelets for transforming a hologram and reconstructing parts of a scene based on the position of viewer by using a sparse set of Morlet transformed coefficients. We provide a design of a Morlet wavelet and explain an efficient discretization method for the application of view-dependent representation systems. Results are provided based on the numerical reconstruction, and it is shown that viewdependent representation along with Morlet wavelets form a good startin… Show more

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Cited by 13 publications
(9 citation statements)
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“…In some cases, the coding techniques that have been used for holograms compression are the current standards for image and video compression [38], [39]. In some researches, new elements have been added to the compression process in order to improve performance [39]- [41], and also wavelet transforms have been proposed, different from the standard ones, such as the Gabor wavelet [42] and the Morlet wavelet [43].…”
Section: Digital Holography Data Compressionmentioning
confidence: 99%
“…In some cases, the coding techniques that have been used for holograms compression are the current standards for image and video compression [38], [39]. In some researches, new elements have been added to the compression process in order to improve performance [39]- [41], and also wavelet transforms have been proposed, different from the standard ones, such as the Gabor wavelet [42] and the Morlet wavelet [43].…”
Section: Digital Holography Data Compressionmentioning
confidence: 99%
“…In 2013, Blinder et al [39] investigated alternative wavelet decomposition on off-axis holograms. In 2014, Viswanathan et al [40] used Morlet wavelets for transforming a hologram, and in 2015, Xing et al [41] combined wavelet transform and joint encoding methods to compress phase-shifting holographic data.…”
Section: Existing Literature On Holography Codingmentioning
confidence: 99%
“…and M and N represent the lengths of the wavelet functions in the spatial domain and are integers, l > 0 and integer, and Θ = π K and −K ≤ r ≤ K and K > 0 is integer. This is a wavelet function that is centered at fc and scaled by a discrete parameter l and rotated by the discrete parameter r. The detailed working of the Morlet wavelet and its design is explained in [12]. The dot product of this wavelet function (in its scaled, rotated and translated form), and the hologram H results in a set of wavelet coefficients that approximate the hologram for a particular frequency and direction.…”
Section: Wavelet Analysismentioning
confidence: 99%