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ISO19107 Geographic information – Spatial schema. Pusan National University Dept. of Computer Engineering Spatiotemporal Database Lab. Joon-Seok Kim joonseok@pnu.edu. Outline. Introduction Schema Geometry Geometry root Geometry primitive Coordinate geometry Geometry aggregate
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ISO19107 Geographic information – Spatial schema Pusan National University Dept. of Computer Engineering Spatiotemporal Database Lab. Joon-Seok Kim joonseok@pnu.edu
Outline • Introduction • Schema • Geometry • Geometry root • Geometry primitive • Coordinate geometry • Geometry aggregate • Geometry complex • Topology • Topology root • Topology primitive • Topology complex • Summary
Introduction • ISO19107 • Providing conceptual schemas for describing and manipulating the spatial characteristic • Formal language • Unified Modeling Language (UML) ISO19103 • Vector geometry and topology up to 3-D • Spatial operations • For use in access, query, management, processing, and data exchange of geographic information
Basic Concept Point Geometry object Line Rectangle … Infinite set of points Point set theory
Concept of Interior, Exterior and Boundary U Interior U Boundary = Closure Interior Boundary Exterior
s s e s e e s e Simple and Cycle (a) (b) (c) (d)
convexHull() and buffer() d convexHull() buffer (radius: d)
y z x x y The Number of Exterior of GM_SurfaceBoundary 2-Dimension plane 3-Dimension surface 1 exterior 0 exterior
“-” “-” Concept of Orientation s “+” e For curves, direction in which the curve is traversed When used as bounding curves, “left” of oriented curve “+” For surfaces, Z-axis that would form a right-handed system When used as bounding surfaces, “below” the surface
Concept of Topology • Topology • Deal with characteristics of geometric figures that remain invariant if the space is deformed elastically and continuously • E.g. connectivity of an n-dimensional graph