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Lensless sensor system using a reference structure

Prasant Potuluri, Unnikrishnan Gopinathan, James R. Adleman, and David J. Brady

Open Access Open Access

Abstract

We describe a reference structure based sensor system for tracking the motion of an object. The reference structure is designed to implement a Hadamard transformation over a range of angular perspectives. We implemented a reference structure with an angular resolution of 5° and a field of view of 40°.

©2003 Optical Society of America

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Figures (8)
Fig. 1.
Fig. 1. Schematic of the reference structure based imaging system

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Fig. 2.
Fig. 2. Connectivity pattern of the reference structure: The lower array of dots represent 8 detector elements. Each line represents a pipe enabling the detector to see along a particular source angle. The upper array of dots represent the exit face of the pipes looking towards the source space. Note that even though there are 11 points, the number of source angles monitored is only 8.

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Fig. 3.
Fig. 3. Fabricated reference structure with a linear photodiode array attached to one of its end

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Fig. 4.
Fig. 4. Output of sensor 1 and 6 when a light source (fiber lamp) moves in front of the structure at a distance of 3m

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Fig. 5.
Fig. 5. Multiplexed output of the sensors when a fiber light source moves in front of the structure: Note that sensor 1 sees the last four angles viz 5°, 10°, 15° and 20° as given by the transformation matrix described in Eq. (7)

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Fig. 6.
Fig. 6. Reconstruction of the motion of the fiber source

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Fig. 7.
Fig. 7. Reconstructed source space of a car moving at 10mph

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Fig. 8.
Fig. 8. Reconstruction of the motion of two fiber lamps

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Equations (7)

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M ( x , y ) = T ( x , y ) ⋆ S ( x , y )
m → = T s →
m ( r ) = ∫ T ( r , θ ) s ( θ ) d θ
m i = ∑ j T i ( θ j ) s ( θ j )
N = θ Δ θ
d D < 2 l L
T = ( 0 0 0 0 1 1 1 1 0 0 1 1 1 1 0 0 0 1 0 1 1 0 1 0 0 1 1 0 1 0 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 1 0 0 1 1 0 0 )
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