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satellite imagery usually contains metadata giving the scene frame – the sensordirection in relation to the earth at scan time – air photographs need to beregistered to known ground control points.These ground control points were ‘known’ from terrestrial triangulation,but could be in error. The introduction of Global Positioning System (GPS)satellites has made it possible to correct the positions of existing networks ofground control points. The availability of GPS receivers has also made it possiblefor data capture in the field to include accurate positional informationin a known coordinate reference system. This is conditioned by the requirementof direct line-of-sight to a sufficient number of satellites, not easy inmountain valleys or in city streets bounded by high buildings. Despite thislimitation, around the world the introduction of earth observation satellitesand revised ground control points have together caused breaks of series inpublished maps, to take advantage of the greater accuracy now available. Thismeans that many older maps cannot be matched to freshly acquired positiondata without adjustment.All of these sources of spatial data involve points, usually two real numbersrepresenting position in a known coordinate reference system. It is possible togo beyond this simple basis by combining pairs of points to form line segments,combining line segments to form polylines, networks or polygons, or regulargrid centres. Grids can be defined within a regular polygon, usually a rectangle,with given resolution – the size of the grid cells. All these definitions implychoices of what are known in geographical information systems (GIS) as datamodels, and these choices have most often been made for pragmatic reasons.All the choices also involve trade-offs between accuracy, feasibility, and cost.Artificial objects are easiest to represent, like roads, bridges, buildings, orsimilar structures. They are crisply defined, and are not subject to naturalchange – unlike placing political borders along the centre lines or deepestchannels of meandering rivers. Shorelines are most often natural and cannotbe measured accurately without specifying measurement scale. Boundariesbetween areas of differing natural land cover are frequently indeterminate,with gradations from one land cover category to another. Say that we wantto examine the spatial distribution of a species by land cover category; ourdata model of how to define the boundary between categories will affect theoutcome, possibly strongly. Something of the same affects remote sensing,because the reported values of the observed pixels will hide sub-pixel variation.It is unusual for spatial data to be defined in three dimensions, because ofthe close links between cartography and data models for spatial data. Whenthere are multiple observations on the same attribute at varying heights ordepths, they are most often treated as separate layers. GIS-based data modelsdo not fit time series data well either, even though some environmentalmonitoring data series are observed in three dimensions and time. Some GISsoftware can handle voxels, the 3D equivalent of pixels – 2D raster cells –but the third dimension in spatial data is not handled satisfactorily, as isthe case in computer-assisted design or medical imaging. On the other hand,
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