## 1 Introduction  
Conventional metrology systems employed in industrial engineering applications typically provide real-time three-dimensional (3D) measurements over a range from millimeters to 10 m with precisions ranging from microns to sub-millimeters. In contrast, the standard measurement range of metrology systems employed in the fields of surveying and mapping is at least 100 m with precisions that are generally on the scale of millimeters or centimeters [1, 2]. This discrepancy between the measurement ranges and precisions of these two metrology systems is acceptable when the scope of industrial engineering applications is limited in size to the measurement ranges provided by conventional metrology systems employed in industrial settings. However, the scope of industrial engineering applications has greatly expanded in recent years to include applications conducted within large uncontrollable spaces, such as aircraft assembly and large ship manufacturing, which has provided urgent motivation for the development of relatively high-precision metrology systems applicable to very large measurement spaces [3]. Meanwhile, the metrology systems employed in the fields of surveying and mapping have been developing progressively to facilitate automation and real-time measurements with increased precision. Accordingly, the measurement range and precision and other capabilities of these two metrology systems have been increasingly approaching each other over time based on similar measurement methodologies, resulting in a growing trend toward integration [4; 5; 6]. Recently, large-scale positioning systems (LSPSs), such as indoor global positioning systems (iGPSs) and workshop measuring and positioning systems (wMPSs), have been developed to provide 3D real-time dynamic industrial measurements based on photoelectric scanning [7; 8]. These systems employ multiple laser transmitter stations distributed in the measurement space and several receivers located at the target points to be measured. Accordingly, these systems can simultaneously perform parallel measurements of multiple targets in a manner similar to that of the GPS resection principle. Moreover, the measurement range can be expanded by simply increasing the number of laser transmitter stations. Many LSPSs have been used in engineering practice at present. For example, the iGPS produced by Nikon provides indoor space measurements with an accuracy of 0.2 mm [9; 10]. In addition, a concrete realization scheme and calibration method for wMPSs were proposed by [PERSON] et al. [11; 12; 13]. Meanwhile, the influence of wMPS network layout on location error was investigated by [PERSON] et al. [14], and the hardware and measurement algorithm employed in wMPSs have been optimized by [PERSON] et al. [15; 16]. While LSPSs employing laser transmitter stations have been employed in engineering practice, the introduction of an LSPS into an existing industrial manufacturing setting must first solve the problems of docking with existing control points and external parameter calibration. At present, the layout methods include the calibration of reference scale and calibration of control points. Both methods require two or more launch stations to complete the calibration [17; 18]. There are three key factors to consider in layout; the first is effective measurement distance, the second is to ensure the rendezvous angles between launch stations, and the last is to ensure that all of the launch stations are visible to the target. However, in the local complex field measurement tasks, especially in the construction process, the site environment is complex, and it is difficult to ensure that multiple launch stations and the target point can be seen, which brings great inconvenience to the actual measurement. In addition, the layout calibration process of distributed measurement method is time-consuming and difficult. Therefore, aiming at the above problems, this paper takes a wMPS system as the research platform and proposes a flexible, single-station method for coordinate measurement.