contributor author | Songlin Zhang | |
contributor author | Kun Zhang | |
contributor author | Pengcheng Liu | |
date accessioned | 2017-12-16T09:24:10Z | |
date available | 2017-12-16T09:24:10Z | |
date issued | 2016 | |
identifier other | %28ASCE%29SU.1943-5428.0000180.pdf | |
identifier uri | http://138.201.223.254:8080/yetl1/handle/yetl/4242507 | |
description 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 geodesy. Coordinate transformations are among the most frequently encountered problems in spatial data processing, and the EIV model can be built based on two sets of coordinates. In some applications, physical parameters—such as the shift, rotation angle, and scale factor—have constraints. Current implementations of the constrained EIV (CEIV) model do not consider physical constraints explicitly. The purpose of this paper is to convert physical constraints into mathematical forms and to use constrained total least squares (CTLS) to solve the CEIV problem of two-dimensional (2D) affine transformation. The effectiveness of this method is illustrated through a numerical example. | |
publisher | American Society of Civil Engineers | |
title | Total Least-Squares Estimation for 2D Affine Coordinate Transformation with Constraints on Physical Parameters | |
type | Journal Paper | |
journal volume | 142 | |
journal issue | 3 | |
journal title | Journal of Surveying Engineering | |
identifier doi | 10.1061/(ASCE)SU.1943-5428.0000180 | |
tree | Journal of Surveying Engineering:;2016:;Volume ( 142 ):;issue: 003 | |
contenttype | Fulltext | |