Topological relations between spherical spatial regions with holes

References

• Chen, J., C. Li, Z. Li, and C. Gold. 2001. “A Voronoi-Based 9-Intersection Model for Spatial Relations.” International Journal of Geographical Information Systems 15 (3): 201–220.
   Web of Science ®Google Scholar
• Chen, J., S. Li, H. Wu, and X. Chen. 2017. “Towards a Collaborative Global Land Cover Information Service.” International Journal of Digital Earth 10 (4): 356–370. doi:10.1080/17538947.2016.1267268.
   Web of Science ®Google Scholar
• Chen, M., H. Lin. 2018. “Virtual Geographic Environments (VGEs): Originating from or Beyond Virtual Reality (VR)?” International Journal of Digital Earth 11 (4): 329–333. doi: 10.1080/17538947.2017.141945
   Web of Science ®Google Scholar
• Dube, M. 2017. “Topological Augmentation: A Step Forward for Qualitative Partition Reasoning.” Journal of Spatial Information Science 14 (1):1–29. doi:10.5311/JOSIS.2017.14.288.
   Google Scholar
• Egenhofer, M. 1994. “Deriving the Composition of Binary Topological Relations.” Journal of Visual Languages and Computing 5 (2): 133–149. doi:10.1006/jvlc.1994.1007.
   Web of Science ®Google Scholar
• Egenhofer, M. 1995. “Topological Relations in 3D.” Technical report 05/1995, University of Maine. Orono, ME.
   Google Scholar
• Egenhofer, M. 2005. “Spherical Topological Relations.” Lecture Notes in Computer Science 3534: 25–49. doi:10.1007/11496168_2.
   Google Scholar
• Egenhofer, M., E. Clementini, and P. Di Felice. 1994. “Topological Relations Between Regions with Holes.” International Journal of Geographical Information Systems 8 (2): 129–142.
   Web of Science ®Google Scholar
• Egenhofer, M., and R. Franzosa. 1991. “Point-set Topological Spatial Relations.” International Journal of Geographical Information Systems 5 (2): 161–174. doi:10.1080/02693799108927841.
   Web of Science ®Google Scholar
• Egenhofer, M., and J. Herring. 1991. “Categorizing Binary Topological Relations Between Regions, Lines, and Points in Geographic Databases.” Technical Report, Department of Surveying Engineering, Orono, ME: University of Maine.
   Google Scholar
• Egenhofer M., and D. Mark. 1995. “Naive Geography.” In Spatial Information Theory A Theoretical Basis for GIS. COSIT 1995. Lecture Notes in Computer Science 988, edited by A. U. Frank and W. Kuhn. Berlin, Heidelberg: Springer. doi:10.1007/3-540-60392-60391_1.
   Google Scholar
• Gold, C., and M. Mostafavi. 2000. “Towards the Global GIS.” ISPRS Journal of Photogrammetry & Remote Sensing 55 (3): 150–163. doi:10.1016/S0924-2716(00)00016-00012.
   Web of Science ®Google Scholar
• Goodchild M., and P. Woodgate. 2012. “Next-generation Digital Earth.” Proceedings of the National Academy of Sciences of the United States of America, 109 (28):11088–11094. doi:10.1073/pnas.1202383109.
   PubMed Web of Science ®Google Scholar
• Gore, A. 1998. “The Digital Earth: Understanding Our Planet in the 21st Century.” Australian Surveyor 43 (2): 89–91. doi:10.1080/00050326.1998.10441850.
   Google Scholar
• Guo, H., Z. Liu, H. Jiang, C. Wang, J. Liu, and D. Liang. 2017. “Big Earth Data: A New Challenge and Opportunity for Digital Earth’s Development. “ International Journal of Digital Earth, 10 (1): 1–12. doi:10.1080/17538947.2016.1264490.
   Web of Science ®Google Scholar
• Hazarika, D., D. Hazarika. 2012. “Fuzzy Regions with Holes and Their Topological Relations in a Special Fuzzy Topological Space.” Annals of Fuzzy Mathematics and Informatics 3 (1): 89–101.
   Google Scholar
• Hernandez, M. 2017. “A Digital Earth Platform for Sustainability.” International Journal of Digital Earth, 10(4): 342–355. doi:10.1080/17538947.2016.1272646.
   Web of Science ®Google Scholar
• Kadiyala, M. D. M., S. Nedumaran, P. Singh, C. S., M. A. Irshad, and M. C. S. Bantilan. 2015. “An Integrated Crop Model and GIS Decision Support System for Assisting Agronomic Decision Making Under Climate Change.” Science of The Total Environment 521–522 (6): 123–134. doi:10.1016/j.scitotenv.2015.03.097.
   PubMed Web of Science ®Google Scholar
• Kurata, Y. 2008. “The 9+Intersection: A Universal Framework for Modeling Topological Relations.” International Conference on Geographic Information Science. Berlin Heidelberg: Springer-Verlag.
   Google Scholar
• Kurata, Y. 2009. “From Three-Dimensional Topological Relations to Contact Relations.” Developments in 3D Geo-Information Science. Berlin, Heidelberg: Springer-Verlag.
   Google Scholar
• Lee, J., and M. Kwan. 2005. “A Combinatorial Data Model for Representing Topological Relations among 3D Geographical Features in Micro-Spatial Environments.” International Journal of Geographical Information Science 19 (10): 1039–1056. doi:10.1080/13658810500399043.
   Web of Science ®Google Scholar
• Lin, H., M. Chen, G.N. Lu. 2013. “Virtual Geographic Environment: A Workspace for Computer-Aided Geographic Experiments”. Annals of the Association of American Geographers, 103 (3): 465–482. doi:10.1080/00045608.2012.689234.
   Web of Science ®Google Scholar
• Lin, H., M. Chen, G.N. Lu, Q. Zhu, J. H. Gong, X. You, Y. Wen, B.L. Xu, M.Y. Hu. 2013. “Virtual Geographic Environments (VGEs): a New Generation of Geographic Analysis Tool”. Earth-Science Reviews, 126:74–84. doi:10.1016/j.earscirev.2013.08.001.
   Web of Science ®Google Scholar
• Long, Z., and S. Li. 2013. “A Complete Classification of Spatial Relations Using the Voronoi-based Nine-Intersection Model.” International Journal of Geographical Information Science 27 (10): 2006–2025. doi:10.1080/13658816.2013.781607.
   Web of Science ®Google Scholar
• Mekni, M. 2018. “Spatial Simulation Using Abstraction of Virtual Geographic Environments.” International Journal of Digital Earth, 11 (4): 334–355. doi:10.1080/17538947.2017.1381190.
   Web of Science ®Google Scholar
• Nicholas, C. 2013. “Progress and Missed Opportunities in Spatial Analysis for Digital Earth. “ IEEE Geoscience and Remote Sensing Symposium, 1163–1165. doi:10.1109/IGARSS.2013.6721372.
   Web of Science ®Google Scholar
• Open Geospatial Consortium. 1999. “ OpenGIS Simple Features Specification for SQL (Revision 1.1).” Accessed May 15, 2016. Available online: http://www.opengis.org/techno/specs/99–049.pdf.
   Google Scholar
• Open Geospatial Consortium. 2012. “OGC City Geography Markup Language (CityGml) Encoding Standard.” Accessed July 7, 2016. Available online: https://portal.opengeospatial.org/files/?artifact_id=47842.
   Google Scholar
• Otoo, E., H. Zhu. 1993. “Indexing on Spherical Surfaces Using Semi-Quadcodes.” Advances in Spatial Databases. Proc. 3rd International Symposium, SSD’93, Singapore. 510–529. doi:10.1007/3-540-56869-56867_29.
   Google Scholar
• Schneider, M., and T. Behr. 2006. “Topological Relations Between Complex Spatial Objects.” ACM Transactions on Database Systems 31 (1), 39–81. doi:10.1145/1132863.1132865.
   Web of Science ®Google Scholar
• Sharma, J. 1996. "Integrated Spatial Reasoning in Geographic Information Systems: Combining Topology and Direction." PhD thesis, The University of Maine, USA, May.
   Google Scholar
• Shen, J., M. Chen, and X. Liu. 2018. “Classification of Topological Relations Between Spatial Objects in Two-Dimensional Space Within the Dimensionally Extended 9-Intersection Model.” Transactions in GIS: 1–27. doi:10.1111/tgis.12328.
   Web of Science ®Google Scholar
• Shen, J., T. Zhou, and M. Chen. 2017. “A 27-Intersection Model for Representing Detailed Topological Relations Between Spatial Objects in Two-Dimensional Space.” International Journal of Geo-Information 6 (2): 1–16. doi:10.3390/ijgi6020037.
   Web of Science ®Google Scholar
• Vilchesblázquez, L., B. Villazónterrazas, O. Corcho, and A. Gómezpérez. 2014. “Integrating Geographical Information in the Linked Digital Earth.” International Journal of Digital Earth 7 (7): 554–575. doi:10.1080/17538947.2013.783127.
   Web of Science ®Google Scholar
• Worboys, M. F. 1992. “A Generic Model for Planar Geographical Objects.” International Journal of Geographical Information Systems 6 (5): 353–372. doi:10.1080/02693799208901920.
   Web of Science ®Google Scholar
• Worboys, M., and P. Bofakos. 1993. “A Canonical Model for a Class of Areal Spatial Objects.” International Symposium on Advances in Spatial Databases. London: Springer-Verlag. doi:10.1007/3-540-56869-56867_3.
   Google Scholar
• Zlatanova, S. 2000a. “ 3D GIS for Urban Development.” PhD thesis, The International Institute for Aerospace Survey and Earth Sciences (ITC), Enschede, The Netherlands, March 2000.
   Google Scholar
• Zlatanova, S. 2000b. “On 3D Topological Relationships.” In Proceedings of the 11th International Workshop on Database and Expert Systems Applications. London. doi:10.1109/DEXA.2000.875135.
   Google Scholar