Abstract
Abstract Spatial data or indexes can often be usefully organized in hierarchical form within Geographical Information Systems. Many thousands of different hierarchies have now been found in 2-dimensional space. A brief description of, and references to, the method of doing this are given. A benchmark is described which demonstrates how the new hierarchies can be used to improve efficiency in practice. All these hierarchies lie on lattices and have a tesseral arithmetic which relies on a mathematical construct explored in this paper and is given the name lattice ring. These lattice rings are fully classified, and the classification related to the geometrical properties of the tesseral arithmetic of any given hierarchy, and to other important geometrical properties of the hierarchy.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International journal of geographical information systems
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
