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Imaging with random 3D reference structures

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Abstract

We describe a sensor system based on 3D ‘reference structures’ which implements a mapping from a 3D source volume on to a 2D sensor plane. The reference structure used here is a random three dimensional distribution of polystyrene beads.We show how this bead structure spatially segments the source volume and present some simple experimental results of 2D and 3D imaging.

©2003 Optical Society of America

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Figures (7)

Fig. 1.
Fig. 1. Spatial segmentation with random 3d bead structures
Fig. 2.
Fig. 2. Fabricated reference structure used for the experiments
Fig. 3.
Fig. 3. An Imaging system based on random 3D bead structures
Fig. 4.
Fig. 4. The image obtained when a fiber light source is placed in front of the structure at two positions in the source space separated by 200 µm along the lateral dimension
Fig. 5.
Fig. 5. Difference between the two images shown in Fig. 4
Fig. 6.
Fig. 6. Reconstructed source displayed as a 40×40 image
Fig. 7.
Fig. 7. Reconstructed source volume consisting of a series of point sources located along the solid diagonal of a cube shaped source volume: All the reconstructions are combined together and shown as a composite 3D volume

Equations (3)

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m i = v i ( r ) s ( r ) d r
m i = j ξ ij s j
m = ξ s
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