Trilateration Adjustment and Network Design: a Critical Compendium of Methods and Techniques Proposed for the Adjustment and Design of Trilaterated Networks

摘要

The report presents a critical review of more than 200 papers related to trilateration. It also contains the results of a simulation study of six common networks in which only distances have been observed. Chapter 1 begins with a review, in matrix notation, of the Theory of Least Squares as applied to trilateration. Chapter 2 discusses methods for forming the observation and condition equations for a trilaterated system that is to be adjusted using plane rectangular coordinates. Chapter 3 presents the observation equations needed to perform an adjustment in either space rectangular coordinates, or on the surface of an ellipsoid. Chapter 4 reviews the theory of weighting, and then presents specific guidance, based on several referenced studies, on the method of weighting both trilaterated and integrated (direction, azimuth, and distance observations) networks. Chapter 5 reports the results of a simulation study of six common figures and networks composed of these figures. Chapter 6 contains a concise summary of the results of the paper. (Author)