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Noniterative Approach for Solving the Indirect Problems of Linear Reference Frame Transformations
Publisher: American Society of Civil Engineers
Abstract: A linear transformation, including a similarity model and an affine model, plays an important role in reference frame transformation problems. It establishes geometric relations between different reference frames by adopting ...
Rapid Prediction of Vertical Deflections and Their Statistics for Surveying and Mapping Applications: Three Case Studies
Publisher: ASCE
Abstract: The accurate determination of deflections of the vertical is a complex scientific task that can be time-consuming and expensive. On occasion, good approximations are required for surveying and engineering applications. ...
Least Squares Comparison of Two Rigorous Math Models Used to Fit a Triaxial Ellipsoid to a Cluster of Points
Publisher: ASCE
Abstract: The least-squares (LS) method is universally embraced to obtain approximate unique solutions and their statistics from overdetermined scientific experiments where the number of observations amply exceeds the number of ...
Rigorous Estimation of Local Accuracies Revisited
Publisher: American Society of Civil Engineers
Abstract: New insights about the concept of local accuracies are elaborated in this article. Recently found evidence supports the mathematical rigor of equations previously published in this journal as a unique alternative to ...
Closure to “Rigorous Estimation of Local Accuracies Revisited” by Tomás Soler and Jen-Yu Han
Publisher: American Society of Civil Engineers
Local Accuracies
Publisher: American Society of Civil Engineers
Abstract: The objective of this case study is to evaluate the different approximations in the technical literature that are used to compute the variance-covariance matrix of local accuracies. This analysis compares the rigor and ...
Efficient Approach for Autonomous Facility Inspection Using UAV Images
Publisher: ASCE
Abstract: Civil infrastructure systems, such as harbors and airports, support transportation between international communities. Inspection of facilities in a large area is labor-intensive and time-consuming work, and the result can ...
Stepwise Parameter Estimations in a Time-Variant Similarity Transformation
Publisher: American Society of Civil Engineers
Abstract: A classic seven-parameter similarity transformation is typically applied in reference frame transformations. For modern day global applications with a higher accuracy requirement, this model is extended to accommodate ...
Variance–Covariance Matrix of Transformed GPS Positions: Case Study for the NAD 83 Geodetic Datum
Publisher: American Society of Civil Engineers
Abstract: This investigation introduces a rigorous mathematical transformation of variance–covariance matrices between a global geocentric frame and a plate-fixed geodetic frame. A practical example between the geocentric frame of ...
Image-Based Approach for Road Profile Analyses
Publisher: American Society of Civil Engineers
Abstract: Road profile extraction and analysis are essential tasks in transportation asset management. Current approaches use vehicle-borne laser sensors in order to precisely measure the variations in elevation along a specific ...