Digital Holography and Three-Dimensional Display
DOI: 10.1007/0-387-31397-4_7
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Tele-Metrology Based on Digital Holography

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Cited by 4 publications
(8 citation statements)
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“…The main difference between image-plane and Fresnel/Fourier TVH is that in the latter the analysis of the fringe pattern is always necessary in order to calculate the complex amplitude (i.e. the local average intensity and the phase) of the hologram (the primary correlogram); then the corresponding complex amplitude at the object plane has to be reconstructed by simulating the back propagation of light by use of the diffraction integral in Fresnel's or Fourier's (Fraunhofer's) approximation [19,24,256,257]. The phase of the resulting complex amplitude is the phase difference of the interfering beams corresponding to each point of the object and its magnitude can be used to render secondary-fringe patterns.…”
Section: Discussionmentioning
confidence: 99%
“…The main difference between image-plane and Fresnel/Fourier TVH is that in the latter the analysis of the fringe pattern is always necessary in order to calculate the complex amplitude (i.e. the local average intensity and the phase) of the hologram (the primary correlogram); then the corresponding complex amplitude at the object plane has to be reconstructed by simulating the back propagation of light by use of the diffraction integral in Fresnel's or Fourier's (Fraunhofer's) approximation [19,24,256,257]. The phase of the resulting complex amplitude is the phase difference of the interfering beams corresponding to each point of the object and its magnitude can be used to render secondary-fringe patterns.…”
Section: Discussionmentioning
confidence: 99%
“…To use equation (10) given the individual digital reconstructed intensities from the individual digital in-line holograms, it is necessary to have the mapping functions given by equation (8). These functions have to be determined using a calibration procedure which is described in the following section.…”
Section: Multi-camera (Tomographic) Digital Hologram Recording and Re...mentioning
confidence: 99%
“…The reconstructed individual midplanes are for each direction as shown in figure 16(a). The volume intensity iso-surface based on the reconstruction of 10 planes from each direction is shown in figure 16(b), which clearly shows the depth-of-field problem.In order to more distinctly show the reconstruction of one glass sphere and how the application of equation(10) to the three digitally reconstructed intensity fields result in the faithful reconstruction of the glass sphere a small subzone is shown in figure16(c)-note that the reconstructions of multiple planes for each recording direction is shown here and that the respective intensity fields have not been multiplied to extract the faithful glass sphere reconstruction. It can easily be recognized by reference to the second case depicted in figure6that the multiplication of these three intensity fields would result in the elimination of the depth-of-field problem and a reconstruction that closely approximates the shape of the spherical glass sphere.…”
mentioning
confidence: 99%
“…Due to the small angles between the hologram normal and the rays from the hologram to the image points, the obliquity factor cos can normally be set cos = 1. Different approaches for the solution of (1) have been proposed [10]. The Fresnel approximation replaces the factor ρ by the distance d in the denominator of equation ( 2) and the square root in the argument of the exponential function is replaced by the first terms of a binomial expansion.…”
Section: Principle Of Digital Holographymentioning
confidence: 99%