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Original Articles

Hexagonal connectivity maps for Digital Earth

, &
Pages 750-769 | Received 13 Mar 2014, Accepted 20 May 2014, Published online: 16 Jun 2014

References

  • Alborzi, H., and H. Samet. 2000. “Augmenting Sand with a Spherical Data Model.” First International Conference on Discrete Global Grids, Santa Barbara, CA, March 26–28.
  • Ben, J., X. Tong, and R. Chen. 2010. “A Spatial Indexing Method for the Hexagon Discrete Global Grid System.” 2010 18th International Conference on Geoinformatics, 1–5, Las Vegas, Nevada, June 18–20.
  • Burt, P. J. 1980. “Tree and Pyramid Structures for Coding Hexagonally Sampled Binary Images.” Computer Graphics and Image Processing 14: 271–280. doi:10.1016/0146-664X(80)90056-8.
  • Cashman, T. J. 2012. “Beyond Catmull-clark? A Survey of Advances in Subdivision Surface Methods.” Computer Graphics Forum 31 (1): 42–61. doi:10.1111/j.1467-8659.2011.02083.x.
  • Chen, J., X. Zhao, and Z. Li. 2004. “An Algorithm for the Generation of Voronoi Diagrams on the Sphere Based on QTM.” Photogrammetric Engineering and Remote Sensing 69 (1): 79–89. doi:10.14358/PERS.69.1.79.
  • Claes, J., K. Beets, and F. Van Reeth. 2002. “A Corner-cutting Scheme for Hexagonal Subdivision Surfaces.” Proceedings of the Shape Modeling International 2002 (SMI'02), Washington, DC, IEEE Computer Society, 13–20, Banff, Alberta, Canada, May 17–22.
  • Cozzi, P., and K. Ring. 2011. 3D Engine Design for Virtual Globes. 1st ed. Boca Raton: CRC Press.
  • Dutton, G. 1999. A Hierarchical Coordinate System for Geoprocessing and Cartography. Lecture Notes in Earth Sciences Series. Berlin: Springer Verlag.
  • Faust, N., W. Ribarsky, T. Jiang, and T. Wasilewski. 2000. “Real-time Global Data Model for the.” Proceedings of the International Conference on Discrete Global Grid, Santa Barbara, CA, March.
  • Fekete, G., and L. A. Treinish. 1990. Sphere Quadtrees: A New Data Structure to Support the Visualization of Spherically Distributed Data, 242–253, Santa Barbara, CA, February.
  • Gibson, L., and D. Lucas. 1982. “Spatial Data Processing Using Generalized Balanced Ternary.” Proceedings of the IEEE Computer Society on Pattern Recognition and Image Processing, 566–572, Las Vegas, June 14–17.
  • Goodchild, M. F. 2000. “Discrete Global Grids for Digital Earth.” Proceedings of 1st International Conference on Discrete Global Grids, Santa Barbara, CA, March 26–28.
  • Guenette, M., and A. J. Stewart. 2008. “Triangulation of Hierarchical Hexagon Meshes.” Proceedings of the 2008 ACM Symposium on Solid and Physical Modeling, SPM'08, 307–313, New York, June 2–4.
  • He, X., and W. Jia. 2005. “Hexagonal Structure for Intelligent Vision.” First International Conference of Information and Communication Technologies, ICIT 2005, 52–64, Karachi, Pakistan, August 27–28.
  • Ivrissimtzis, I. P., N. A. Dodgson, and M. A. Sabin. 2004. “A Generative Classification of Mesh Refinement Rules with Lattice Transformations.” Computer Aided Geometric Design 21 (1): 99–109. doi:10.1016/j.cagd.2003.08.001.
  • Kamgar-Parsi, B., B. Kamgar-Parsi, and W. A. Sander. 1989. “Quantization Error in Spatial Sampling: Comparison between Square and Hexagonal Pixels.” Proceedings CVPR'89, IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 604–611, San Diego, CA, June 4–8.
  • Kobbelt, L. 2000. “ ! subdivision.” SIGGRAPH'00: Proceedings of the 27th Annual Conference on Computer Graphics and Interactive Techniques, 103–112, New Orleans, July 25–27.
  • Mahdavi-Amiri, A., F. Bhojani, and F. Samavati. 2013. “One-to-two Digital Earth.” ISVC 8034 (2): 681–692.
  • Middleton, L., and J. Sivaswamy. 2005. Hexagonal Image Processing: A Practical Approach (Advances in Pattern Recognition). Secaucus, NJ: Springer-Verlag New York.
  • Munshi, A., D. Ginsburg, and D. Shreiner. 2008. OpenGL ES 2.0 Programming Guide. 1st ed. Reading, MA: Addison-Wesley Professional.
  • Peterson, P. 2006. Close-packed, Uniformly Adjacent, Multiresolutional, Overlapping Spatial Data Ordering. Filed on August 1, 2003, Canadian Patent, CA 2436312, EP Patent App. EP20,040,761,671.
  • Pharr, M., and R. Fernando. 2005. GPU Gems 2: Programming Techniques for High-performance Graphics and General-purpose Computation. Reading, MA: Addison-Wesley Professional.
  • PYXIS Innovation. 2014. “Pyxis Indexing.” Accessed February. http://www.pyxisinnovation.com.
  • Sadourny, R., A. K. I. O. Arakawa, and Y. A. L. E. Mintz. 1968. “Integration of the Nondivergent Barotropic Vorticity Equation with an Icosahedral-hexagonal Grid for the Sphere.” Monthly Weather Review 96 (6): 351–356. doi:10.1175/1520-0493(1968)096%3C0351:IOTNBV%3E2.0.CO;2.
  • Sahr, K. 2008. “Location Coding on Icosahedral Aperture 3 Hexagon Discrete Global Grids.” Computers, Environment and Urban Systems 32 (3): 174–187. doi:10.1016/j.compenvurbsys.2007.11.005.
  • Sahr, K. 2011. “Hexagonal Discrete Global Grid Systems for Geospatial Computing.” Archives of Photogrammetry, Cartography and Remote Sensing 22: 363–376.
  • Sahr, K., D. White, and A. J. Kimerling. 2003. “Geodesic Discrete Global Grid Systems.” Cartography and Geographic Information Science 30 (2): 121–134. doi:10.1559/152304003100011090.
  • Samet, H. 2005. Foundations of Multidimensional and Metric Data Structures (The Morgan Kaufmann Series in Computer Graphics and Geometric Modeling). San Francisco, CA: Morgan Kaufmann.
  • Snyder, J. P. 1992. “An Equal Area Map Projection for Polyhedral Globes.” Cartographica 29: 10–21. doi:10.3138/27H7-8K88-4882-1752.
  • Snyder, W. E., H. Qi, and W. Sander. 1999. “A Coordinate System for Hexagonal Pixels.” The International Society for Optical Engineering 3661: 716–727.
  • Thuburn, J. 1997. “A PV-based Shallow-water Model on a Hexagonal-icosahedral Grid.” Monthly Weather Review 125 (9): 2328–2347. doi:10.1175/1520-0493(1997)125%3C2328:APBSWM%3E2.0.CO;2.
  • Tobler, W., and Z.-t. Chen 1986. “A Quadtree for Global Information Storage.” Geographical Analysis 18 (4): 360–371. doi:10.1111/j.1538-4632.1986.tb00108.x.
  • Tong, X., J. Ben, Y. Wang, Y. Zhang, and T. Pei. 2013. “Efficient Encoding and Spatial Operation Scheme for Aperture 4 Hexagonal Discrete Global Grid System.” International Journal of Geographical Information Science 27 (5): 898–921. doi:10.1080/13658816.2012.725474.
  • Vince, A. 2006. “Indexing the Aperture 3 Hexagonal Discrete Global Grid.” Journal of Visual Communication and Image Representation 17 (6): 1227–1236. doi:10.1016/j.jvcir.2006.04.003.
  • Vince, A., and X. Zheng. 2009. “Arithmetic and Fourier Transform for the PYXIS Multi-resolution Digital Earth Model.” International Journal of Digital Earth 2 (1): 59–79. doi:10.1080/17538940802657694.
  • Wartell, Z., E. Kang, T. Wasilewski, W. Ribarsky, and N. Faust. 2003. “Rendering Vector Data over Global, Multi-resolution 3D Terrain.” Proceedings of the symposium on Data Visualisation 2003, VISSYM'03, 213–222, Grenoble, France, May 26–28.
  • White, D. 2000. “Global Grids from Recursive Diamond Subdivisions of the Surface of an Octahedron or Icosahedron.” Environmental Monitoring and Assessment 64 (1): 93–103. doi:10.1023/A:1006407023786.
  • White, D., J. A. Kimerling, and S. W. Overton. 1992. “Cartographic and Geometric Components of a Global Sampling Design for Environmental Monitoring.” Cartography and Geographic Information Science 19 (1): 5–22. doi:10.1559/152304092783786636.
  • Wickman, F. E., E. Elvers, and K. Edvarson. 1974. “A System of Domains for Global Sampling Problems.” Geografiska Annaler. Series A, Physical Geography 56 (3/4): 201–212. doi:10.2307/520707.

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