The acquisition of nationwide data sets of high-resolution elevation, hydrography and associated data including transportation, trails, geographic names, structures, boundaries, land cover, and orthographic images is a current effort of the National Geospatial Program (NGP) of the USGS. The goal of this acquisition is to better record the USA's natural and built structures in support of science and decision applications for the US Geological Survey (USGS) and Department of Interior, as well as other federal and state agencies and the public. The frameworks and structure of these data sets, which are all core parts of the National Map, are provided in the 3D Elevation Program (3DEP) and National Hydrography Dataset (NHD) websites. Ongoing research in the field of spatial artificial intelligence applications known as geospatial artificial intelligence (GeoAI) aims to supplement the acquisition, processing, and use of these national data sets for mapping, modeling, and decision-making applications. This article will present current (2021) USGS work in feature extraction, multiscale processing, hydrography,

Let $p$ be an odd prime. The unary algebra consisting of the dihedral group of order $2p$, acting on itself by left translation, is a minimal congruence lattice representation of $\mathbb{M}_{p+1}$.

The US Topo is a new generation of digital topographic maps delivered by the US Geological Survey (USGS). These maps include contours in the traditional 7.5-min quadrangle format. The process for producing digital elevation contours has evolved over several years, but automated production of contours for the US Topo product began in 2010. This process, which is quite complex yet fairly elegant, automatically chooses the proper USGS quadrangle, captures the corresponding 1/3 as grid points from the national elevation data set (3D Elevation Program), and adjusts elevation data to better fit water features from the National Hydrography Dataset. After additional processing, such as identifying and tagging depressions, constructing proper contours across double-line streams, and omitting contours from water bodies, contours are automatically produced for the quadrangle. The resulting contours are then compared to the contours on the original (legacy) topographic map sheets, or to the 10-m contours from the original map sheets. Where the elevation surface used to generate the contours has been derived from the previously published contours for a quadrangle, the generated contours match the legacy contours quite well. Where newer elevation sources, such as lidar, originate the elevation surface, generated contours may vary significantly from the previous cartographically produced contours due to more accurate representations of the surface, and less reliance on cartographic interpretation.

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