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Sign up for new issue notifications. Quaternary Triangular Mesh QTM is a spherical subdivision scheme for encoding vector geodata across a planet as recursive triangular subdivisions of an octahedron. This model of location and its hierarchical coordinate system evolved from experiments with a hierarchical raster data structure for encoding terrain relief named DEPTH Delta Encoded Polynomial Terrain Hierarchy.

This 2D pyramid- type structure encoded attributes surface elevations explicitly and locations grid cell indices implicitly.

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It used DEPTH to encode surface elevations in a forest of geodesic triangular quadtrees instead of in a planar rectangular quadtree. All three models were designed to make limitations of data accuracy and scale explicit.


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QTM captures vector data by encoding spherical 2D locations to the extent that their positional accuracy, certainty, or precision warrant, but did not use DEPTH. This paper is a memoir that summarizes the thinking that went into these data models and explores how properties and deficiencies of one led to the other.

It does not present any breakthroughs or new applications.

Intro to coordinate systems and UTM projection

Rather, it documents inventions that influenced subsequent developments of discrete global grids, and might still do so. Content from this work may be used under the terms of the Creative Commons Attribution 3. Any further distribution of this work must maintain attribution to the author s and the title of the work, journal citation and DOI.


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Google Scholar. Crossref Google Scholar. Mapping vector data at smaller than the original scale requires its generalization, which is usually handled by post-processing in ways that are only weakly supported by databases.

The models and methods described in this book overcome many such problems by providing a multi-resolution data representation that allows retrieval of map data at a hierarchy of scales, as well as documenting the accuracy of every spatial coordinate. JavaScript is currently disabled, this site works much better if you enable JavaScript in your browser. Buy Softcover.

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The making of a Global Grid - Remembering my escape from flatland

FAQ Policy. About this book When spatial data is digitized for use in geographic information systems and other software, information about its original scale, resolution and accuracy is frequently lost. Show all. Table of contents 6 chapters Table of contents 6 chapters Introduction and problem statement Pages Historical and conceptual background Pages Computational aspects of a quaternary triangular mesh Pages

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