A universal and robust computation procedure for geometric observations. Issue 361 (4th July 2018)

• Record Type: Journal Article
• Authors: Lehmann, R.
• Is Part Of: Survey review. Volume 50:Issue 361(2018)
• Page Start: 364
• Page End: 372
• Publication Date: 2018-07-04
• Subjects: Geodetic computations -- Geodetic networks -- Outlier detection; Surveying -- Periodicals; Great Britain -- Surveys -- Periodicals; 526.9
• DOI: 10.1080/00396265.2017.1279844
• Languages: English
• ISSNs: 0039-6265

Abstract

Abstract : This contribution describes an automatic and robust method, which can be applied to all classical geodetic computation problems. Starting from given input quantities (e.g. coordinates of known points, observations), computation opportunities for all other relevant quantities are found. For redundant input quantities, there exist a multitude of different computation opportunities from different minimal subsets of input quantities, which are all found automatically, and their results are computed and compared. If the computation is non-unique, but only a finite number of solutions exist, then all solutions are found and computed. By comparison of the different computation results, we may detect outliers in the input quantities and produce a robust final result. The method does not work stochastically, such that no stochastic model of the observations is required. The description of the algorithm is illustrated for a practical case. It is implemented on a webserver and is available for free via internet.