Study of the uncertainty of angle measurement for a rotary-laser automatic theodolite (R-LAT)

Abstract

This paper shows how the angular uncertainties can be determined for a rotary-laser automatic theodolite of the type used in (indoor-GPS) iGPS networks. Initially, the fundamental physics of the rotating head device is used to propagate uncertainties using Monte Carlo simulation. This theoretical element of the study shows how the angular uncertainty is affected by internal parameters, the actual values of which are estimated. Experiments are then carried out to determine the actual uncertainty in the azimuth angle. Results are presented that show that uncertainty decreases with sampling duration. Other significant findings are that uncertainty is relatively constant throughout the working volume and that the uncertainty value is not dependent on the size of the reference angle.

Comparative Performance between Two Photogrammetric Systems and a Reference Laser Tracker Network for Large‐Volume Industrial Measurement

“…The evaluation will determine the measurement uncertainty of static measurements in an environment and volume similar to the intended industrial application, that is, the conformance measurement of wing‐level tooling structures within aircraft manufacture. The estimated measurement uncertainty is determined by using a method of coordinate comparison: comparing the measured coordinates with a reference network possessing a quantified associated uncertainty (Muelaner et al., ; Hughes et al., ). A reference network of discrete points will be established with an accurately determined coordinate definition.…”

Measurement strategy impact on dimensional inspection by portable camera-based measuring systems

“…1 second) of angular sensor (Rene Wackrow et al 2007, Jody E Muelaner et al 2009), a simulation as illustrated in Fig. 7 was run by building the camera model with following parameters (Table 2): The simulation comprised of a population of 100,000 points uniformly distributed in a space with 6 m × 6 m × 6 m in three dimensions, and approximately 10 percent of the points (distributed in a simulated working volume of 17 m³) are covered by 3 cameras all together, these 10 percent points formed a pyramidal shape shown in Fig.…”

The model of the optoelectronic positioning system of industrial equipment

“…Determination of the coordinates with minimum error were performed using the RANSAC algorithm [19]. As mentioned above, measurement of distance to the sensor is conducted with some accuracy [20,21].…”