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RISTotal Least-Squares Estimation for 2D Affine Coordinate Transformation with Constraints on Physical Parameters
Publisher: American Society of Civil Engineers
Abstract: The error-in-variable (EIV) model takes the error of all variables into account and has been widely applied to many practical problems arising in environmental study, geology, geographic information science (GIS), and ...
Indoor Map Boundary Correction Based on Normalized Total Least Squares of Condition Equation
Publisher: ASCE
Abstract: Indoor high-precision maps are necessary for many applications, including robot navigation and location-based services. Raw indoor map boundaries are too irregular and coarse to be used in practical applications directly; ...
Comparison of Posterior Precision Estimation Methods of Weighted Total Least-Squares Solution for Errors-in-Variables Model
Publisher: American Society of Civil Engineers
Abstract: This paper summarizes the majority of classic formulae of weighted total least-squares (WTLS) solutions for errors-in-variables (EIV) model and classified them into six categories. Next, the existing approximate posterior ...
Partial Total-Least-Squares Adjustment of Condition Equations with Application to a Rectangular Building Adjustment in a GIS
Publisher: American Society of Civil Engineers
Abstract: This paper presents a partial total-least-squares adjustment method for condition equations (PTLSC) in which the observation vector and coefficient matrix contain linearly correlated errors. In the proposed method, the ...
New First-Order Approximate Precision Estimation Method for Parameters in an Errors-in-Variables Model
Publisher: ASCE
Abstract: To evaluate the posterior precision of weighted total least-squares (WTLS) estimates in an errors-in-variables model, first-order approximate precision estimation (FOA) methods are usually used. However, FOAs might not be ...