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"The Road and the River Should Cross at the Bridge" Problem: Establishing Internal and Relative Topology in an MRDB

The search for a robust vector data model that can generate a hierarchy of multiple representations, which are valid for analysis at multiple resolutions, from a single highly detailed version, challenges GIS and cartographic research communities. Hierarchic decomposition of raster data is commonly accomplished by pyramid building algorithms. It is not possible in current GIS environments to create pyramids for vector data. The reason is that raster data contain pixels that can be resampled at regular or randomized intervals. Vector data in contrast contain features that nest, that connect, that have intrinsic contextual meanings with respect to each other. This paper presents a working implementation of a pyramid architecture (MRVIN) for vector data that preserves line length, local coordinate density, and valid topology at multiple levels of resolution. The paper describes decomposition and reconstruction routines for simple vectors, stream networks, and compound vectors (registered road and river networks); presents the database schema for the pyramid, and describes MRVIN architecture.