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3D Time-of-flight distance measurement with custom - Universität ...

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OPTICAL TOF RANGE MEASUREMENT 13<br />

pr<strong>of</strong>ile can then be measured <strong>with</strong> one shot, and for <strong>3D</strong> data the scan only needs to<br />

be performed in one direction (light sheet triangulation). In industrial inspection<br />

applications, such a 1D scan is <strong>of</strong>ten available free <strong>of</strong> cost, since the objects to<br />

measure are moving anyway, for example on an assembly-line. [KRA] presents<br />

such a scanning <strong>3D</strong> camera working <strong>with</strong> active light sheet triangulation and<br />

delivering 50 depth images per second in CCIR video format.<br />

Further advanced techniques even use 2D structured light illumination and 2D<br />

imaging to perform <strong>3D</strong> triangulation <strong>measurement</strong>s <strong>with</strong>out scanning. The most<br />

important members <strong>of</strong> this structured light group are phase shifting projected fringe,<br />

Gray code approach [BRE], phase shifting moiré [DOR], coded binary patterns,<br />

random texture [BES] or color-coded light. They typically use LCD (Liquid Crystal<br />

Display) projectors for the projection <strong>of</strong> the structured patterns.<br />

Triangulation systems are available for applications from mm-range (depth <strong>of</strong> focus)<br />

to 100km range (photogrammetry). Their main drawback is that for a good<br />

resolution they have to be large in size, since they need a large triangulation base.<br />

On the other hand, the larger this triangulation base, the more they are restricted by<br />

shadowing effects. Also, <strong>3D</strong> triangulation systems are relatively expensive since<br />

they require fast LCD projectors (only active systems) as well as large<br />

computational power.<br />

2.1.2 Interferometry<br />

Interferometry is described by the superposition <strong>of</strong> two monochromatic waves <strong>of</strong><br />

frequency ν, amplitude U1 and U2 and phase ϕ1 and ϕ2, respectively, resulting in<br />

another monochromatic wave <strong>of</strong> the same frequency ν, but <strong>with</strong> different phase and<br />

different amplitude [SAL]. In the easiest interferometer setup, the Michelson<br />

interferometer, illustrated in Figure 2.3, a laser beam (monochromatic and<br />

coherent) is split into two rays by a beam splitter. One ray is projected to a mirror <strong>of</strong><br />

constant displacement x1 (reference path) whereas the other beam is targeted on<br />

the object <strong>of</strong> variable <strong>distance</strong> x2 (<strong>measurement</strong> path). Both beams are reflected<br />

back to the beam splitter, which projects them onto an integrating detector.

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