Three-Dimensional Fourier-Transform Method for Synthesizing Binary Holograms*

Waters, James P.

doi:10.1364/josa.58.001284

Cited by 38 publications

(15 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Hence, as predicted, output approximately remains unchanged within the region specified in Eq. (22) and approximately vanishes outside this region. In Section 5, we will exploit the result stated above to find binary SLM patterns that generate desired light fields confined to the region specified in Eq.…”

Section: Effects Of Applying a Discrete Real-valued Low-pass Filter Tmentioning

confidence: 93%

“…5 are the borders of the region specified in Eq. (22). As seen, the image is preserved, while the text is eliminated.…”

Section: Effects Of Applying a Discrete Real-valued Low-pass Filter Tmentioning

confidence: 95%

“…In Section 5, we will exploit the result stated above to find binary SLM patterns that generate desired light fields confined to the region specified in Eq. (22) for appropriate selections of the parameters B x and B y . For a single z, Eq.…”

Section: Effects Of Applying a Discrete Real-valued Low-pass Filter Tmentioning

confidence: 99%

“…The first significant progress in the research on binary CGH computation and implementation was achieved with the detour phase method [20][21][22][23][24][25][26][27][28]. This method was developed to obtain binary DOEs which generate desired complex-valued monochromatic light fields within a small region (centered around the optical axis) of the far field or on the Fourier plane of a 2f setup.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Synthesis of three-dimensional light fields with binary spatial light modulators

2011

View full text Add to dashboard Cite

Computation of a binary spatial light modulator (SLM) pattern that generates a desired light field is a challenging quantization problem for which several algorithms have been proposed, mainly for far-field or Fourier plane reconstructions. We study this problem assuming that the desired light field is synthesized within a volumetric region in the non-far-field range after free space propagation from the SLM plane. We use Fresnel and RayleighSommerfeld scalar diffraction theories for propagation of light. We show that, when the desired field is confined to a sufficiently narrow region of space, the ideal gray-level complex-valued SLM pattern generating it becomes sufficiently low pass (oversampled) so it can be successfully halftoned into a binary SLM pattern by solving two decoupled real-valued constrained halftoning problems. Our simulation results indicate that, when the synthesis region is considered, the binary SLM is indistinguishable from a lower resolution full complex gray-level SLM. In our approach, free space propagation related computations are done only once at the beginning, and the rest of the computation time is spent on carrying out standard image halftoning.

show abstract

Section: Effects Of Applying a Discrete Real-valued Low-pass Filter Tmentioning

confidence: 93%

“…5 are the borders of the region specified in Eq. (22). As seen, the image is preserved, while the text is eliminated.…”

Section: Effects Of Applying a Discrete Real-valued Low-pass Filter Tmentioning

confidence: 95%

Section: Effects Of Applying a Discrete Real-valued Low-pass Filter Tmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Synthesis of three-dimensional light fields with binary spatial light modulators

2011

View full text Add to dashboard Cite

show abstract

“…Attempts have been made to compute the holographic fringe patterns of 3-D objects by slicing them in depth and computing and superposing the far-field hologram of each slice. 13 Iterative methods have been used to compute Fourier transform holograms. 14 The complexity of the objects used has kept pace with the increase in computing power available to the research community.…”

Section: Previous Workmentioning

confidence: 99%

Nonuniformly sampled computer‐generated holograms

Pappu

1996

Opt. Eng

View full text Add to dashboard Cite

Abstract. An novel algorithm for computing holographic fringe patterns based on nonuniform sampling is described. We show both analytically and via simulation that nonuniform sampling reduces the number of samples required to represent the hologram, in some cases by as much as 30 to 40%. This method of computing compact holograms is information-theoretically lossless. Methods for decompressing the computed fringe pattern are also presented. The algorithm is implemented on the Massachusetts Institute of Technology (MIT) Mark II Holographic Video System and results demonstrating its performance are provided. To the best of the author's knowledge, this is the first time that nonuniform sampling has been used to compress holographic fringe patterns for display purposes. The possibility of using other sophisticated nonuniform sampling approaches emerges from this research. © 1996 Society of Photo-Optical Instrumentation Engineers.

show abstract