Introducing scale parameters for adjusting area objects in GIS based on least squares and variance component estimation Export

@article{citeulike:6086733, abstract = {In this paper, a least-squares based cadastral parcel area adjustment in geographic information systems (GIS) is developed based on (1) both the areas and coordinates being treated as observations with errors; and (2) scale parameters being introduced to take the systematic effect into account in the process of cadastral map digitization. The area condition equation for cadastral parcel considerations of scale parameters and geometric constraints is first constructed. The effects of the scale error on area adjustment results are then derived, and statistical hypothesis testing is presented to determine the significance of the scale error. Afterwards, Helmert's variance component estimation based on least-squares adjustment using the condition equation with additional parameters is proposed to determine the weight between the coordinate and area measurements of the parcel. Practical tests are conducted to illustrate the implementation of the proposed methods. Four schemes for solving the inconsistencies between the registered areas and the digitized areas of the parcels are studied. The analysis of the results demonstrates that in the case of significant systematic errors in cadastral map digitization, the accuracies of the adjusted coordinates and areas are improved by introducing scale parameters to reduce the systematic error influence in the parcel area adjustment. Meanwhile, Helmert's variance component estimation method determines more accurate weights of the digitized coordinates and parcel areas, and the least-squares adjustment solves the inconsistencies between the registered areas and the digitized areas of the parcels.}, author = {Tong, Xiaohua and Shi, Wenzhong and Liu, Dajie}, citeulike-article-id = {6086733}, citeulike-linkout-0 = {http://dx.doi.org/10.1080/13658810802077826}, doi = {10.1080/13658810802077826}, journal = {International Journal of Geographical Information Science}, keywords = {least\_squares\_adjustment}, number = {11}, pages = {1413--1432}, posted-at = {2009-11-08 23:09:18}, priority = {2}, publisher = {Taylor \& Francis}, title = {Introducing scale parameters for adjusting area objects in GIS based on least squares and variance component estimation}, url = {http://dx.doi.org/10.1080/13658810802077826}, volume = {23}, year = {2009} }

TY - JOUR ID - citeulike:6086733 L3 - citeulike-article-id:6086733 N2 - In this paper, a least-squares based cadastral parcel area adjustment in geographic information systems (GIS) is developed based on (1) both the areas and coordinates being treated as observations with errors; and (2) scale parameters being introduced to take the systematic effect into account in the process of cadastral map digitization. The area condition equation for cadastral parcel considerations of scale parameters and geometric constraints is first constructed. The effects of the scale error on area adjustment results are then derived, and statistical hypothesis testing is presented to determine the significance of the scale error. Afterwards, Helmert's variance component estimation based on least-squares adjustment using the condition equation with additional parameters is proposed to determine the weight between the coordinate and area measurements of the parcel. Practical tests are conducted to illustrate the implementation of the proposed methods. Four schemes for solving the inconsistencies between the registered areas and the digitized areas of the parcels are studied. The analysis of the results demonstrates that in the case of significant systematic errors in cadastral map digitization, the accuracies of the adjusted coordinates and areas are improved by introducing scale parameters to reduce the systematic error influence in the parcel area adjustment. Meanwhile, Helmert's variance component estimation method determines more accurate weights of the digitized coordinates and parcel areas, and the least-squares adjustment solves the inconsistencies between the registered areas and the digitized areas of the parcels. IS - 11 JF - International Journal of Geographical Information Science EP - 1432 TI - Introducing scale parameters for adjusting area objects in GIS based on least squares and variance component estimation PB - Taylor & Francis VL - 23 SP - 1413 KW - least_squares_adjustment AU - Tong, Xiaohua AU - Shi, Wenzhong AU - Liu, Dajie PY - 2009/// UR - http://dx.doi.org/10.1080/13658810802077826 ER -