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Titre du document / Document title

Least squares weighted coordinate transformation formulas and their applications

Auteur(s) / Author(s)

GREENFELD J. S. (1) ;

Affiliation(s) du ou des auteurs / Author(s) Affiliation(s)

(1) Dept. of Civ. and Envir. Engrg., New Jersey Inst. of Technol., Newark, NJ 07102, ETATS-UNIS

Résumé / Abstract

Coordinate transformation is the process of determining and applying the relationship between two sets of coordinates. It answers the following question: I know the coordinates of a point on one data source, what are the coordinate values for this point on another data source? In most cases, points do not have homogeneous accuracies; thus, they must be weighted according to their relative values. An important objective of this procedure is to keep it as simple as possible so that it can be easily adopted by professional land surveyors or geographic information system (GIS) technical staff. Another important objective of the coordinate transformation process is to make it statistically sound. A weighted least squares is probably one of the better solutions for the transformation problem. Weighted least squares-based coordinate transformation has many applications in surveying practice. One application is to compute NAD83 coordinate values for points with known coordinate values in another plane coordinate system such as NAD27, UTM or NAD83 (19xx), where xx is the year in which the adjustment was computed. Another application is to combine maps from different sources or to register a map to an orthophoto when building a GIS. A third example of an application is to sort out evidence in boundary surveys.

Revue / Journal Title

Journal of surveying engineering    ISSN  0733-9453   CODEN JSUED2 

Source / Source

1997, vol. 123, no4, pp. 147-161 (4 ref.)

Langue / Language

Anglais

Editeur / Publisher

American Society of Civil Engineers, Reston, VA, ETATS-UNIS  (1983) (Revue)

Mots-clés anglais / English Keywords

geographic information systems

;

transformations

;

least-squares

;

coordinates

;

accuracy

;

mathematical models

;

Mots-clés français / French Keywords

Système information géographique

;

Transformation

;

Analyse moindres carrés

;

Coordonnée

;

Précision

;

Modèle mathématique

;

Mots-clés espagnols / Spanish Keywords

Transformación

;

Precisión

;

Modelo matemático

;

Localisation / Location

INIST-CNRS, Cote INIST : 572 K, 35400006969944.0020

Nº notice refdoc (ud4) : 2850304



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