Computation and visualisation of the accuracy of old maps using differential distortion analysis

References

• Ashburner, J. and Friston, K.J., 2000. Voxel-based morphometry–the methods. Neuroimage, 11 (6), 805–821. doi:10.1006/nimg.2000.0582
   PubMed Web of Science ®Google Scholar
• Battersby, S.E., et al., 2014. Implications of web Mercator and its use in online mapping. Cartographica: The International Journal for Geographic Information and Geovisualization, 49 (2), 85–101. doi:10.3138/carto.49.2.2313
   Google Scholar
• Beineke, D., 2007. Zur Bestimmung lokaler Abbildungsverzerrungen in Altkarten mit Hilfe der multiquadratischen Interpolationsmethode. Allgemeine Vermessungsnachrichten, 114, 19–27.
   Google Scholar
• Blakemore, M.J. and Harley, J.B., 1980. Concepts in the history of cartography. A review and perspective. Cartographica, 17, 1–120.
   Google Scholar
• Bugayevskiy, L.M. and Snyder, J., 1995. Map projections: a reference manual. London: CRC Press.
   Google Scholar
• Buhmann, M.D., 2003. Radial basis functions: theory and implementations. Cambridge: Cambridge University Press.
   Google Scholar
• Canters, F., 2002. Small-scale map projection design. Boca Raton, FL: CRC Press.
   Google Scholar
• Canters, F. and Decleir, D., 1989. The world in perspective. A directory of world map projections. New York: John Wiley & Sons Ltd.
   Google Scholar
• Cleveland, W.S., 1979. Robust locally weighted regression and smoothing scatterplots. Journal of the American Statistical Association, 74 (368), 829–836. doi:10.1080/01621459.1979.10481038
   Web of Science ®Google Scholar
• Duchon, J., 1977. Splines minimizing rotation-invariant semi-norms in Sobolev spaces. In: W. Schempp and K. Zeller, eds. Constructive theory of functions of several variables. Berlin: Springer, 85–100.
   Google Scholar
• Fornefett, M., Rohr, K., and Stiehl, H.S., 2001. Radial basis functions with compact support for elastic registration of medical images. Image and Vision Computing, 19 (1–2), 87–96. doi:10.1016/S0262-8856(00)00057-3
   Web of Science ®Google Scholar
• Forstner, G. and Oehrli, M., 1998. Graphische Darstellungen der Untersuchungsergebnisse alter Karten und die Entwicklung der Verzerrungsgitter. Cartographica Helvetica, 17, 35–43.
   Google Scholar
• Franke, R., 1979. A critical comparison of some methods for interpolation of scattered data. Technical Report NPS 53-79-003, Monterey, CA: Naval Postgraduate School.
   Google Scholar
• Grafarend, E.W. and Krumm, F.W., 2006. Map projections. Berlin: Springer.
   Google Scholar
• Haas, W., 1798. Die Landschaft Basel und das Frickthal. The map data is courtesy of swisstopo, map collection, LT K BL 1798. The ground control points are courtesy of Rickenbacher, M., Bern. Basel: W. Haas.
   Google Scholar
• Hardy, R.L., 1971. Multiquadric equations of topography and other irregular surfaces. Journal of Geophysical Research, 76, 1905–1915. doi:10.1029/JB076i008p01905
   Web of Science ®Google Scholar
• Hardy, R.L., 1990. Theory and applications of the multiquadric-biharmonic method: 20 years of discovery 1968-1988. Computers & Mathematics with Applications, 19, 163–208. doi:10.1016/0898-1221(90)90272-L
   Web of Science ®Google Scholar
• Hill, L.L., 2009. Georeferencing: the geographic associations of information. Cambridge, MA: MIT Press.
   Google Scholar
• Hongchuan, Y., et al., 2012. An rbf-based reparameterization method for constrained texture mapping. IEEE Transactions on Visualization and Computer Graphics, 18 (7), 1115–1124. doi:10.1109/TVCG.2011.117
   PubMed Web of Science ®Google Scholar
• Jenny, B., 2015a. List of publications on techniques for visualisation of the accuracy of old maps and computation of statistical measures [online]. Available from: http://mapanalyst.org/literature.html [Accessed 27 April 2015].
   Google Scholar
• Jenny, B., 2015b. List of publications on the accuracy of specific old maps that use MapAnalyst software [online]. Available from: http://mapanalyst.org/press.html [Accessed 27 April 2015].
   Google Scholar
• Jenny, B. and Hurni, L., 2011. Studying cartographic heritage: Analysis and visualization of geometric distortions. Computers & Graphics, 35, 402–411. doi:10.1016/j.cag.2011.01.005
   Web of Science ®Google Scholar
• Jenny, B., Weber, A., and Hurni, L., 2007. Visualizing the planimetric accuracy of historical maps with MapAnalyst. Cartographica, 42, 89–94. doi:10.3138/carto-v42-1-089
   Google Scholar
• Kavrayskiy, V.V., 1958. Izbrannyye trudy, vol. II: Matematicheskaja kartografija. Moscow Is: Nedra.
   Google Scholar
• Laskowski, P.H., 1989. The traditional and modern look at Tissot’s indicatrix. The American Cartographer, 16 (2), 123–133. doi:10.1559/152304089783875497
   Web of Science ®Google Scholar
• Seo, H. and Cordier, F., 2010. Constrained texture mapping using image warping. Computer Graphics Forum, 29 (1), 160–174. doi:10.1111/cgf.2010.29.issue-1
   Web of Science ®Google Scholar
• Swisstopo., 2015. Swiss national map 1:200 000. [online]. Maptiles are provided though http://geo.admin.ch [Accessed 18 June 2015].
   Google Scholar
• Tiddeman, B., Duffy, N., and Rabey, G., 2001. A general method for overlap control in image warping. Computers & Graphics, 25 (1), 59–66. doi:10.1016/S0097-8493(00)00107-2
   Web of Science ®Google Scholar
• Tobler, W.R., 1976. The geometry of mental maps. In: R. G. Golledge and G. Rushton, eds. Spatial choice and spatial behavior. Columbus: Ohio State University Press, 69–81.
   Google Scholar
• Tobler, W.R., 1994. Bidimensional regression. Geographical Analysis, 26, 187–212. doi:10.1111/j.1538-4632.1994.tb00320.x
   Web of Science ®Google Scholar
• Wagner, H., 1896. Das Ratsel der Kompasskarten im Lichte der Gesamtentwickelung der Seerkarten. geographische verlagshandlung deitrich reimer. Berlin: Geographische Verlagshandlung Deitrich Reimer.
   Google Scholar
• Wahba, G., 1990. Spline models for observational data. Philadelphia, PA: Siam.
   Google Scholar
• Yang, Q., Snyder, J., and Tobler, W., 1999. Map projection transformation: principles and applications. Boca Raton, FL: CRC Press.
   Google Scholar