Accurate area determination in the cadaster: case study of Slovenia

References

• Adams, O. S. 1945. General Theory of Equivalent Projections. Special Publication, no. 236. Washington, DC: US Government Printing Office.
   Google Scholar
• Berk, S., and Ž. Komadina. 2013. “Local to ETRS89 Datum Transformation for Slovenia: Triangle-Based Transformation Using Virtual Tie Points.” Survey Review 45 (328): 25–34. doi:10.1179/1752270611Y.0000000020.
   Web of Science ®Google Scholar
• Borčić, B. 1976. Gauss-Krügerova projekcija meridijanskih zona. [Gauss-Krüger Projection of Meridional Zones]. Zagreb: Faculty of Geodesy, University of Zagreb.
   Google Scholar
• Bourke, P. 1988. “Calculating the Area and Centroid of a Polygon.” http://www.seas.upenn.edu/~sys502/extra_materials/Polygon%20Area%20and%20Centroid.pdf
   Google Scholar
• Braden, B. 1986. “The Surveyor’s Area Formula.” The College Mathematics Journal 17 (4): 326–337. doi:10.2307/2686282.
   Google Scholar
• Buyong, T. B., W. Kuhn, and A. U. Frank. 1991. “A Conceptual Model of Measurement-Based Multipurpose Cadastral Systems.” URISA Journal 3 (2): 35–49.
   Google Scholar
• Chrisman, N., and J.-F. Girres. 2013. “First, Do No Harm: Eliminating Systematic Error in Analytical Results of GIS Applications.” ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XL-2/W1 (2): 35–40. doi:10.5194/isprsarchives-XL-2-W1-35-2013.
   Google Scholar
• Chrisman, N., and J.-F. Girres. 2015. “First, Do No Harm: Eliminating Systematic Error in Analytical Results of GIS Applications.” Chap. 3 in Uncertainty Modelling and Quality Control for Spatial Data, edited by W. Shi, B. Wu, and A. Stein, 27–43. Boca Raton, FL: CRC Press. doi:10.1201/b19160-5.
   Google Scholar
• Chrisman, N. R., and B. S. Yandell. 1988. “Effects of Point Error on Area Calculations: A Statistical Model.” Surveying and Mapping 48 (4): 241–246.
   Google Scholar
• Clarke, K. C. 1986. “Computation of the Fractal Dimension of Topographic Surfaces Using the Triangular Prism Surface Area Method.” Computers & Geosciences 12 (5): 713–722. doi:10.1016/0098-3004(86)90047-6.
   Web of Science ®Google Scholar
• Črepinšek, M., and L. Mernik. 2009. “An Efficient Representation for Solving Catalan Number Related Problems.” International Journal of Pure and Applied Mathematics 56 (4): 589–604.
   Google Scholar
• Danielsen, J. S. 1989. “The Area under the Geodesic.” Survey Review 30 (232): 61–66. doi:10.1179/sre.1989.30.232.61.
   Google Scholar
• Deakin, R. E., S. C. Bird, and R. I. Grenfell. 2002. “The Centroid? Where Would You like it to be?” Cartography 31 (2): 153–167. doi:10.1080/00690805.2002.9714213.
   Google Scholar
• Delčev, S., G. Timár, and M. Kuhar. 2014. “The Origin of the D48 Coordinate System.” [In Slovene.] Geodetski Vestnik 58 (4): 681–694. doi:10.15292/geodetski-vestnik.2014.04.681-694.
   Web of Science ®Google Scholar
• Doskocz, A. 2014. “About Accuracy of Analytical Determination of Areas for Cadastre and Other Purposes.” 9th International Conference ‘Environmental Engineering’, Vilnius, May 22–23. doi:10.3846/enviro.2014.203.
   Google Scholar
• Ferlan, M. 2009. Evidentiranje nepremičnin. [Recording of Real Estates]. Ljubljana: Faculty of Civil and Geodetic Engineering, University of Ljubljana.
   Google Scholar
• Ferrero, S., M. Pierozzi, L. Repetti, and L. Surace. 2009. “An algorithm for the Unambiguous Determination of the Equidistant Boundary Line Between Two (or More) Coastlines.” Applied Geomatics 1 (3): 49–58. doi:10.1007/s12518-009-0007-z.
   Google Scholar
• FIG. 1995. The FIG Statement on the Cadastre. FIG Publication, no. 11. The International Federation of Surveyors. Copenhagen: FIG Office.
   Google Scholar
• Ghilani, C. D. 2000. “Demystifying Area Uncertainty: More or Less.” Surveying and Land Information Systems 60 (3): 183–189.
   Google Scholar
• Gillissen, I. 1993. “Area Computation of a Polygon on an Ellipsoid.” Survey Review 32 (248): 92–98. doi:10.1179/sre.1993.32.248.92.
   Google Scholar
• Goodchild, M. F., and D. M. Mark. 1987. “The Fractal Nature of Geographic Phenomena.” Annals of the Association of American Geographers 77 (2): 265–278. doi:10.1111/j.1467-8306.1987.tb00158.x.
   Web of Science ®Google Scholar
• Grafarend, E. W., R.-J. You, and R. Syffus. 2014. “Geodetic Mapping.” Chap. 20 in Map Projections: Cartographic Information Systems. 477–520. 2nd ed. Berlin: Springer. doi:10.1007/978-3-642-36494-5_20.
   Google Scholar
• Grgić, M., M. Varga, and T. Bašić. 2016. “Empirical Research of Interpolation Methods in Distortion Modeling for the Coordinate Transformation between Local and Global Geodetic Datums.” Journal of Surveying Engineering 142 (2): 05015004. doi:10.1061/(ASCE)SU.1943-5428.0000154.
   Web of Science ®Google Scholar
• Hrvatin, M., and D. Perko. 2003. “Surface Roughness and Land Use in Slovenia.” Acta Geographica Slovenica 43 (2): 33–86. doi:10.3986/AGS43202.
   Web of Science ®Google Scholar
• ICSM. 2015. Cadastre 2034: Powering Land and Real Property (Cadastral Reform and Innovation for Australia—A National Strategy). Canberra: Intergovernmental Committee for Surveying and Mapping.
   Google Scholar
• INSPIRE. 2014. Infrastructure for Spatial Information in Europe: Data Specification on Cadastral Parcels—Technical Guidelines. Version 3.1. Brussels: European Commission Joint Research Centre.
   Google Scholar
• Jansson, P., and C.-G. Persson. 2014. Uncertainty in Area Determination. Report, TRITA-SoM 2014-14. Stockholm: Royal Institute of Technology (KTH).
   Google Scholar
• Jarroush, J., and G. Even-Tzur. 2007. “The Need for a Dynamic Cadastre System in the Modern Digital Legal Cadastre.” Geomatica 61 (1): 9–18.
   Google Scholar
• Jenness, J. S. 2004. “Calculating Landscape Surface Area from Digital Elevation Models.” Wildlife Society Bulletin 32 (3): 829–839. http://www.jstor.org/stable/3784807
   Web of Science ®Google Scholar
• Kahan, W. 1965. “Pracniques: Further Remarks on Reducing Truncation Errors.” Communications of the ACM 8 (1): 40. doi:10.1145/363707.363723.
   Web of Science ®Google Scholar
• Kain, R. J. P., and E. Baigent. 1992. The Cadastral Map in the Service of the State: A History of Property Mapping. Chicago: University of Chicago Press.
   Google Scholar
• Karney, C. F. F. 2011. “Transverse Mercator with an Accuracy of a Few Nanometers.” Journal of Geodesy 85 (8): 475–485. doi:10.1007/s00190-011-0445-3.
   Web of Science ®Google Scholar
• Karney, C. F. F. 2013. “Algorithms for Geodesics.” Journal of Geodesy 87 (1): 43–55. doi:10.1007/s00190-012-0578-z.
   Web of Science ®Google Scholar
• Karničnik, I., and D. Radovan. 2003. “GPS Survey of Slovenian Coastline and its Integration with Hydrographic Data.” Proceedings of the ISPRS WG VI/3 Workshop ‘Geoinformation for Practice’, Zagreb, October 15–18. International Archives of the Photogrammetry, Remote Sensing, and Spatial Information Sciences (ISPRS Archives) 34 (6/W11): 113–116.
   Google Scholar
• Kawase, K. 2013. “Concise Derivation of Extensive Coordinate Conversion Formulae in the Gauss-Krüger Projection.” Bulletin of the Geospatial Information Authority of Japan 60: 1–6. http://www.gsi.go.jp/common/000065826.pdf
   Google Scholar
• Kimerling, J. A., S. W. Overton, and D. White. 1995. “Statistical Comparison of Map Projection Distortions Within Irregular Areas.” Cartography and Geographic Information Systems 22 (3): 205–221.
   Google Scholar
• Kuhar, M., S. Berk, B. Koler, K. Medved, O. Omang, and D. Solheim. 2011. “The Quality Role of Height System and Geoid Model in the Realization of GNSS Heighting.” [In Slovene.] Geodetski Vestnik 55 (2): 226–234. doi:10.15292/geodetski-vestnik.2011.02.226-234.
   Web of Science ®Google Scholar
• Lego, K. 1968. Geschichte des österreichischen Grundkatasters. [History of the Austrian Land Cadaster]. Vienna: Federal Office of Metrology and Surveying (BEV).
   Google Scholar
• Leung, Y., J.-H. Ma, and M. F. Goodchild. 2004. “A General Framework for Error Analysis in Measurement-Based GIS. Part 4: Error Analysis in Length and Area Measurements.” Journal of Geographical Systems 6 (4): 403–428. doi:10.1007/s10109-004-0144-1.
   Google Scholar
• Li, W., M. F. Goodchild, and R. Church. 2013. “An Efficient Measure of Compactness for Two-Dimensional Shapes and its Application in Regionalization Problems.” International Journal of Geographical Information Science 27 (6): 1227–1250. doi:10.1080/13658816.2012.752093.
   Web of Science ®Google Scholar
• Moritz, H. 2000. “Geodetic Reference System 1980.” Journal of Geodesy 74 (1): 128–133. doi:10.1007/S001900050278.
   Web of Science ®Google Scholar
• Murphy, B., P. Collier, D. Mitchell, and B. Hirst. 1999. “Maritime Zone Boundary Generation from Straight Baselines Defined as Geodesics.” In Proceedings of the International Conference on Technical Aspects of Maritime Boundary Delineation and Delimitation, Monaco, September 8–9, 133–141. Monaco: International Hydrographic Bureau.
   Google Scholar
• Navodilo. 1976. Navodilo za ugotavljanje in zamejničenje posestnih meja parcel. [Guidance for Delineation and Demarcation of Property Boundaries.] Official Gazette of the Socialist Republic of Slovenia, no. 2/1976 [amendments in no. 6/1987].
   Google Scholar
• Navratil, G. 2011. “Cadastral Boundaries: Benefits of Complexity.” URISA Journal 23 (1): 19–27.
   Google Scholar
• Navratil, G., and R. Feucht. 2009. “An Example for a Comprehensive Quality Description—The Area in the Austrian Cadastre.” In Spatial Data Quality: From Process to Decisions, R. Devillers and H. Goodchild edited by, 197–209. Chapter 18. Boca Raton, FL: CRC Press. doi:10.1201/b10305-23.
   Google Scholar
• Pędzich, P., and M. Kuźma. 2012. “Application of Methods for Area Calculation of Geodesic Polygons on Polish Administrative Units.” Geodesy and Cartography 61 (2): 105–115. doi:10.2478/v10277-012-0025-6.
   Google Scholar
• Polyanin, A. D., and A. V. Manzhirov. 2007. Handbook of Mathematics for Engineers and Scientists. Boca Raton, FL: CRC Press.
   Google Scholar
• Pravilnik. 2007. “Pravilnik o urejanju mej ter spreminjanju in evidentiranju podatkov v zemljiškem katastru.” [Rules on Boundary Settlement and Changing and Recording Data in the Land Cadaster.] Official Gazette of the Republic of Slovenia, no. 8/2007 [amendments in no. 26/2007].
   Google Scholar
• Safari, A., and A. A. Ardalan. 2007. “New Cylindrical Equal Area and Conformal Map Projections of the Reference Ellipsoid for Local Applications.” Survey Review 39 (304): 132–144. doi:10.1179/003962607X165096.
   Web of Science ®Google Scholar
• Shih, T.-Y. 1995. “Area Computation by Coordinates.” Journal of Surveying Engineering 121 (4): 145–154. doi:10.1061/(ASCE)0733-9453(1995)121:4(145).
   Web of Science ®Google Scholar
• Sjöberg, L. E. 2006. “Determination of Areas on the Plane, Sphere and Ellipsoid.” Survey Review 38 (301): 583–593. doi:10.1179/sre.2006.38.301.583.
   Web of Science ®Google Scholar
• Snyder, J. P. 1987. Map Projections—A Working Manual. US Geological Survey Professional Paper, no. 1395. Washington, DC: US Government Printing Office.
   Google Scholar
• Stopar, B. 2007. “Realization of ESRS in Slovenia.” [In Slovene]. Geodetski Vestnik 51 (4): 763–776.
   Web of Science ®Google Scholar
• Stopar, B., and M. Kuhar. 2003. “A Study of Distorsions of the Primary Triangulation Network of Slovenia.” Acta Geodaetica et Geophysica Hungarica 38 (1): 43–52. doi:10.1556/AGeod.38.2003.1.7.
   Google Scholar
• Suzuki, S., and T. Inohara. 2015. “Mathematical Definitions of Enclave and Exclave, and Applications.” Applied Mathematics and Computation 268: 728–742. doi:10.1016/j.amc.2015.06.114.
   Web of Science ®Google Scholar
• Torge, W. 2001. Geodesy. 3rd completely revised and extended ed. Berlin: Walter de Gruyter.
   Google Scholar
• Usery, L. E., and J. C. Seong. 2001. “All Equal-Area Map Projections Are Created Equal, but Some are More Equal Than Others.” Cartography and Geographic Information Science 28 (3): 183–194. doi:10.1559/152304001782153053.
   Google Scholar
• van Gein, W. A., and I. Gillissen. 1993. “Area Computation of Polygons.” International Hydrographic Review 70 (1): 23–35. https://journals.lib.unb.ca/index.php/ihr/article/view/23239
   Google Scholar
• van Oosterom, P., W. Quak, and T. Tijssen. 2005. “About Invalid, Valid and Clean Polygons.” In Developments in Spatial Data Handling, edited by P. F. Fisher, 1–16. Berlin: Springer. doi:10.1007/3-540-26772-7_1.
   Google Scholar
• Vincenty, T. 1975. “Direct and Inverse Solutions of Geodesics on the Ellipsoid with Application of Nested Equations.” Survey Review 23 (176): 88–93. doi:10.1179/sre.1975.23.176.88. [addendum (1976) in Survey Review 23 (180): 294.
   Google Scholar
• Williams, R. 1997. “Gnomonic Projection of the Surface of an Ellipsoid.” Journal of Navigation 50 (2): 314–320. doi:10.1017/S0373463300023936.
   Web of Science ®Google Scholar
• Williamson, I. P. 1985. “Cadastres and Land Information Systems in Common Law Jurisdictions.” Survey Review 28 (217): 114–129. doi:10.1179/sre.1985.28.217.114. [continuation (Part II, 1985) in Survey Review 28 (218): 186–195. doi:10.1179/sre.1985.28.218.186].
   Google Scholar
• Yildirim, F., and A. Kaya. 2008. “Selecting Map Projections in Minimizing Area Distortions in GIS Applications.” Sensors 8 (12): 7809–7817. doi:10.3390/s8127809.
   PubMed Web of Science ®Google Scholar
• ZDGRS. 2014. “Zakon o državnem geodetskem referenčnem sistemu.” [National Geodetic Reference System Act.] Official Gazette of the Republic of Slovenia, no. 25/2014.
   Google Scholar
• ZEN. 2006. Zakon o evidentiranju nepremičnin. [Real Estate Recording Act.] Official Gazette of the Republic of Slovenia, no. 47/2006 [amendments in no. 65/2007 and 79/2012—decisions of the Constitutional Court].
   Google Scholar
• ZK. 2015. “Zemljiški kataster.” [Land Cadaster.] Surveying and Mapping Authority of the Republic of Slovenia (Shape format data, received February 20 2015).
   Google Scholar