3D shape measurement using deterministic phase retrieval and a partially developed speckle field

Publication: Research - peer-reviewConference article – Annual report year: 2012

  • Author: Almoro, Percival F.

    University of the Philippines Diliman

  • Author: Waller, Laura

    Princeton University, United States

  • Author: Agour, Mostafa

    Bremer Institut für Angewandte Strahltechnik, Germany

  • Author: Falldorf, Claas

    Bremer Institut für Angewandte Strahltechnik, Germany

  • Author: Pedrini, Giancarlo

    University of Suttgart, Germany

  • Author: Osten, Wolfgang

    University of Suttgart, Germany

  • Author: Hanson, Steen Grüner

    Optical Sensor Technology, Department of Photonics Engineering, Technical University of Denmark, Frederiksborgvej 399, 4000, Roskilde, Denmark

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For deterministic phase retrieval, the problem of insignificant axial intensity variations upon defocus of a smooth object wavefront is addressed. Our proposed solution is based on the use of a phase diffuser facilitating the formation of a partially-developed speckle field (i.e., a field with both scattered-wave and unperturbed-wave components). The smooth test wavefront impinges first on the phase diffuser producing the speckle field. Then two speckle patterns with different defocus are recorded at the output plane of a 4f-optical filtering setup with a spatial light modulator (SLM) in the common Fourier domain. The local variations of the recorded speckle patterns and the defocus distance approximate the axial intensity derivative which, in turn, is required to recover the wavefront phase via the transport of intensity equation (TIE). The SLM setup reduces the speckle recording time and the TIE allows direct (i.e., non-iterative) calculation of the phase. The pre-requisite partially-developed speckle field in our technique facilitates high image contrast and significant axial intensity variation. Wavefront reconstruction for the 3D refractive test object used demonstrates the effectiveness of the technique.
Original languageEnglish
JournalProceedings of SPIE, the International Society for Optical Engineering
Pages (from-to)83840Q
StatePublished - 2012
EventSPIE Defense, Security, and Sensing : Three-Dimensional Imaging, Visualization, and Display 2012 - Baltimore, MD, United States


ConferenceSPIE Defense, Security, and Sensing : Three-Dimensional Imaging, Visualization, and Display 2012
CountryUnited States
CityBaltimore, MD
Internet address
CitationsWeb of Science® Times Cited: 0


  • Wavefront reconstruction, Phase retrieval, Digital holography, Speckle, Wave propagation, Diffraction, Diffuser, Phase, Spatial light modulator, Transport of intensity equation
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ID: 9861292