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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 20, Iss. 8 — Aug. 1, 2003
  • pp: 1537–1545

Computer-generated holograms of three-dimensional objects synthesized from their multiple angular viewpoints

David Abookasis and Joseph Rosen  »View Author Affiliations

JOSA A, Vol. 20, Issue 8, pp. 1537-1545 (2003)

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Synthesizing computer-generated holograms (CGHs) of a general three-dimensional (3D) object is usually a heavy computational task. We propose and demonstrate a new algorithm for computing CGHs of 3D objects. In our scheme, many different angular projections of computer-designed 3D objects are numerically processed to yield a single two-dimensional complex matrix. This matrix is equivalent to the complex amplitude of a wave front on the rear focal plane of a spherical lens when the object is located near the front focal point and illuminated by a plane wave. Therefore the computed matrix can be used as a CGH after it is encoded to a real positive-valued transparency. When such CGH is illuminated by a plane wave, a 3D real image of the objects is constructed. The number of computer operations are equivalent to those of a two-dimensional Fourier CGH. Computer and optical constructions of 3D objects, both of which show the feasibility of the proposed approach, are described.

© 2003 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.4560) Fourier optics and signal processing : Data processing by optical means
(090.1760) Holography : Computer holography
(090.2870) Holography : Holographic display
(100.6890) Image processing : Three-dimensional image processing

Original Manuscript: November 20, 2002
Revised Manuscript: March 12, 2003
Manuscript Accepted: March 12, 2003
Published: August 1, 2003

David Abookasis and Joseph Rosen, "Computer-generated holograms of three-dimensional objects synthesized from their multiple angular viewpoints," J. Opt. Soc. Am. A 20, 1537-1545 (2003)

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