• Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
• /
• v.35 no.6
• /
• pp.509-516
• /
• 2017

In cadastral surveying, there are problems that no area error is allowed where numerical surveying is carried out, and allowable area error is specified irrespective of parcel shape where graphic surveying is carried out. In this research, we derived a general formula of parcel area error necessary for grasping these two problems. The calculations using the derived formula showed that where the coordinate error of the boundary point is set to 5cm+10ppm practically, then even a small parcel of $100 m^2$ includes non-negligible area error of $0.71m^2$. And, it is found that the area error specified by the current egulation is based on a rectangular parcel of 1:5 aspect ratio. These results show that the area error of polygon parcel can be determined by a single formula by specifying the coordinate error of the boundary points, and can be used to revise the current regulations that can be applied uniformly regardless of surveying methods.

• Journal of Cadastre & Land InformatiX
• /
• v.52 no.1
• /
• pp.5-16
• /
• 2022

Based on the general formula for the area error of a polygon and rectangular parcel, the constant term 0.026² × M (scale denominator) of the area error calculation formula prescribed by the Enforcement Decree was analyzed. As a result, it is found that the formula appropriately reflects the characteristics of the graphical surveying as a typical rectangular parcel model, but quantitatively allows a relatively large area error. In addition, it is found that, even if the area is the same, 50% more area error than a square parcel could be calculated depending on the shape of the parcel, and that the allowable area error should be different when dividing a parcel. Based on the analysis, furthermore, this study shows a solution that can solve the problems at once from the point of cadastral surveying. These are, the problem of reflecting the accuracy of the surveying, the problem of reflecting the size and shape of the parcel, and the problem whether a single area error formula can be used without having to distinguish between graphical and numerical surveyings. The new formula that solves these problems will bring about improvements in many related factors and promote the development of digital cadastral system.

• Journal of Cadastre & Land InformatiX
• /
• v.44 no.2
• /
• pp.139-153
• /
• 2014

The world geodetic system transformation of cadastral record have to minimize differences of boundary and area being in cadastral record according to transformation for that is direct connected with the land owner and property protection. However it is very difficult to accurately maintain the before and after transformation because coordinate transformation is generally using a mathematical conversion formula. At present, Helmert model by using 4-parameter is official coordinate transformation model for Cadastral Resurvey Project but scale factor is most sensitive to changes of area and relative position in the same parcel. In this study, it was proposed 3-parameter method using by scale factor fixing through the application of a Helmert in order to avoid changing the area difference and keeping the error within the tolerance range of the boundary which is related to the boundary point coordinate region.