Further Reading
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Smart Ledger Geostamping - Steps Towards Interoperability & Standards By Michael Mainelli and James Pitcher Sponsored by Cardano Foundation Long Finance (December 2017), 20 pages. |
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Timestamping Smart Ledgers - Comparable, Universal, Traceable, Immune By Sam Carter Sponsored by Cardano Foundation Long Finance (June 2018), 55 pages. |
Links to the journal articles used for developing GeoGnomo:
- Amiri AM, Samavati F, Peterson P. (2015) Categorization and conversions for indexing methods of discrete global grid systems. ISPRS International Journal of Geo-Information 4:320-336. doi:10.3390/ijgi4010320
- Bailey HP. (1956) Two grid systems that divide the entire surface of the earth into quadrilaterals of equal area. Transactions, American Geophysical Union 37(5):628-635
- Bauer-Marschallinger B, Sabel D, Wagner W. (2014) Optimisation of global grids for high-resolution remote sensing data. Computers & Geosciences 72:84–93
- Baumgardner JR, Frederickson PO. (1985) Icosahedral discretization of the two-sphere. SIAM Journal on Numerical Analysis 22(6):1107-1115
- Ben J, Li YL, Wang R. (2016) Radix representation of triangular discrete grid system. Proceedings of the 6th Digital Earth Summit. 6 pp. Doi:10.1088/1755-1315/46/1/012047
- Brooks DR. (1981) Grid systems for earth radiation budget experiment applications. NASA Technical Memorandum 83233. National Aeronautics and Space Administration, Hampton, VA. 42 pp
- Brubaker RE, Bylls R. (n.d.) Geocoding: Description and Uses
- Carr D, Kahn R, Sahr K, Olsen T. (1998) ISEA discrete global grids. Statistical Computing & Statistical Graphics Newsletter 8(2/3):31-39
- Chrisman N. (2016) Calculating on a round planet. International Journal of Geographical Information Science, 31(4), pp.637-657
- Dutton G. (1989) Planetary modelling via hierarchical tessellation. Proceedings of the Eleventh International Conference on Computer-Assisted Cartography (Auto-Carto 9) Anderson E, ed. American Congress on Surveying and Mapping, Baltimore, MD. pp 462-471
- Dutton G. (1990) Locational properties of quaternary triangular meshes. Proceedings of the 4th International Symposium on Spatial Data Handling. Department of Geography, University of Zurich. pp 901-910
- Dutton G. (1999) A hierarchical coordinate system for geoprocessing and cartography. Lecture Notes in Earth Science 79. Berlin: Springer-Verlag. XIX + 231 pp. 97 figs., 12 plates, 16 tabs. ISSN 0930-0317; ISBN 3-540-64980-8
- Dutton G. (n.d.) Universal Geocoding with a Hierarchical Global Grid
- Fekete G. (1990) Rendering and managing spherical data with sphere quadtrees. Proceedings of Visualization '90. IEEE Computer Society, Los Alamitos, CA. pp 176-186
- González Á. (2010) Measurement of areas on a sphere using Fibonacci and latitude-longitude lattices. Mathematical Geosciences 42:49-64
- Goodchild M, Shiren Y, Dutton G. (1991) Spatial Data Representation and Basic Operations for a Triangular Heirarchical Data Structure. National Center for Geographic Information Analysis, Report 91-8
- Goodchild M, and Shiren Y. (1992) A hierarchical spatial data structure for global geographic information systems. CVGIP: Graphical Models and Image Processing, 54(1), pp.31-44
- Gregory MJ, Kimerling AJ, White D, Sahr K. (2008) A comparison of intercell metrics on discrete global grid systems. Computers, Environment and Urban Systems 32(3):188-203
- Heikes R, Randall DA. (1995) Numerical integration of the shallow-water equations on a twisted icosahedral grid. Part I: basic design and results of tests. Monthly Weather Review 123(6):1862-1880
- Heikes R, Randall DA. (1995) Numerical integration of the shallow-water equations on a twisted icosahedral grid. Part II: a detailed description of the grid and an analysis of numerical accuracy. Monthly Weather Review 123(6):1881-1887
- Hou M-l. (2004) The basic topology model of spherical surface digital space. Proceedings 20th ISPRS. 6 pp
- Kiester AR, Sahr K. (2008) Planar and spherical hierarchical, multi-resolution cellular automata. Computers, Environment and Urban Systems 32(3):204-213
- Kimerling AJ, Sahr K, White D, Song L. (1999) Comparing geometric properties of discrete global grids. Cartography and Geographic Information Systems 26(4):271-287
- Kimerling AJ, Sahr K, White D. (1997) Global scale data model comparison. Proceedings of the Thirteenth International Conference on Computer-Assisted Cartography (Auto-Carto 13) American Congress on Surveying and Mapping, Seattle, WA. pp 357-366
- Lee M, Samet H. (1998) Traversing the triangle elements of an icosahedral spherical representation in constant time. Proceedings of the 8th International Symposium on Spatial Data Handling. Poiker TK, Chrisman N, eds. International Geographical Union, Burnaby, BC. pp 22-33
- Lugo JA, Clarke KC. (1995) Implementation of triangulated quadtree sequencing for a global relief data structure. Proceedings of the Twelfth International Conference on Computer-Assisted Cartography (Auto-Carto 12) American Congress on Surveying and Mapping, Charlotte, NC. pp 147-156
- Lukatela, H. (1987) Hipparchus geopositioning model: an overview. Proceedings of the Eighth International Conference on Computer-Assisted Cartography (Auto-Carto 8) American Congress on Surveying and Mapping. pp 87-96
- Mark DM, Lauzon JP. (1985) Approaches for quadtree-based geographic information systems at continental or global scales. Proceedings of the Seventh International Conference on Computer-Assisted Cartography (Auto-Carto 7) American Congress on Surveying and Mapping. pp 355-364
- Olsen AR, Stevens DL, Jr, White D. (1998) Application of global grids in environmental sampling. Proceedings of The 30th Symposium on the Interface, Computing Science and Statistics: Computing Science and Statistics, Vol. 30. Minneapolis, MN. Weisberg S, ed. Interface Foundation of North America, Fairfax Station, VA. pp 279-284
- Otoo EJ, Zhu H. (1993) Indexing on spherical surfaces using semi-quadcodes. Proceedings of Third International Symposium on Advances in Spatial Databases. Abel DJ, Ooi BC, eds. Lecture Notes in Computer Science 692. Springer-Verlag, Singapore. pp. 510-529
- Ottoson P, Hauska H. (2002) Ellipsoidal quadtrees for indexing of global geographical data. International Journal of Geographical Information Science 16(3):213-226
- Raskin R. (1994) Spatial analysis on the sphere: a review. Technical Paper 94-7. National Center for Geographic Information and Analysis, Santa Barbara, CA. 47 pp
- Sadourny R, Arakawa A, Mintz Y. (1968) Integration of the nondivergent barotropic vorticity equation with an icosahedral-hexagonal grid for the sphere. Monthly Weather Review 96(6):351-356
- Saff EB, Kuijlaars A. (1997) Distributing many points on a sphere. Mathematical Intelligencer 19(1):5-11
- Sahr K. (2008) Location coding on icosahedral aperture 3 hexagon discrete global grids. Computers, Environment and Urban Systems 32(3):174-187
- Sahr K. (2011) Hexagonal discrete global grid systems for geospatial computing. Archives of Photogrammetry, Cartography and Remote Sensing 22:363-376
- Sahr K, White D. (1998) Discrete global grid systems. Proceedings of the 30th Symposium on the Interface, Computing Science and Statistics 30:269-278
- Sahr K, White D, Kimerling AJ. (2003) Geodesic discrete global grid systems. Cartography and Geographic Information Science 30(2):121-134
- Satoh M, Matsuno T , Tomita H, Miura H, Nasuno T, Ig S. (2008) Nonhydrostatic icosahedral atmospheric model (NICAM) for global cloud resolving simulations. Journal of Computational Physics 227:3486–3514
- Schröder P, Sweldens W. (1995) Spherical wavelets: efficiently representing functions on the sphere. Proceedings, SIGGRAPH95. Association for Computing Machinery. pp 161-172
- Song L, Kimerling AJ, Sahr K. (2002) Developing an equal area global grid by small circle subdivision. Discrete global grids: a web book. Goodchild MF, Kimerling AJ, eds. University of California, Santa Barbara
- Stuhne GR, Peltier WR. (1999) New icosahedral grid-point discretizations of the shallow water equations on the sphere. Journal of Computational Physics 148:23–58
- Swinbank R, Purser RJ. (2006) Fibonacci grids: a novel approach to global modeling. Quarterly Journal of the royal Meteorological Society 132:1769-1793
- Tegmark M. (1996) An icosahedron-based method for pixelizing the celestial sphere. The Astrophysical Journal 470:L81–L84
- Thuburn J. (1997) A PV-based shallow-water model on a hexagonal-icosahedral grid. Monthly Weather Review 125:2328-2347
- Tobler W, Chen Z-T. (1986) A quadtree for global information storage. Geographical Analysis 18(4):360-371
- Tomita H, Satoh M, Goto K. (2002) An Optimization of the icosahedral grid modified by spring dynamics. Journal of Computational Physics 183:307–331
- 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
- White D, Kimerling AJ, Overton WS. (1992) Cartographic and geometric components of a global sampling design for environmental monitoring. Cartography and Geographic Information Systems 19(1):5-22
- White D, Kimerling AJ, Sahr K, Song L. (1998) Comparing area and shape distortion on polyhedral-based recursive partitions of the sphere. International Journal of Geographical Information Science 12(8):805-827
- Wickman FE, Elvers E, Edvarson K. (1974) A system of domains for global sampling problems. Geografiska Annaler, Series A 56(3-4):201-212
- Williamson DL. (1968) Integration of the barotropic vorticity equation on a spherical geodesic grid. Tellus, 20(4), 642–653
- Yan J, Song X, Gong G. (2016) Averaged ratio between complementary profiles for evaluating shape distortions of map projections and spherical hierarchical tessellations. Computers & Geosciences 87:41–55
- Zhou YM. (1998) Equidistribution and extremal energy of N points on the sphere. Modelling and computation for applications in mathematics, science, and engineering. Jerome JW, ed. Oxford University Press, New York
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