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맵 대수×최소 비용 경로 / 비용 거리 분석×
분야공간분석공간분석
계열Process / pipelineProcess / pipeline
기원 연도19901994
창시자Dana TomlinEdsger Dijkstra (shortest path); GIS cost-surface adaptation
유형Raster spatial analysis frameworkRaster cost-surface routing
원전Tomlin, C. D. (1990). Geographic Information Systems and Cartographic Modeling. Prentice Hall. ISBN: 978-0-13-350927-4Dijkstra, E. W. (1959). A note on two problems in connexion with graphs. Numerische Mathematik, 1(1), 269–271. DOI ↗
별칭Cartographic Modeling, Raster Algebra, Grid Algebra, Harita Cebiricost-distance analysis, accumulated cost surface, least-cost corridor, en düşük maliyetli yol
관련33
요약Map Algebra is a rule-based language and computational framework for deriving new raster layers from existing ones by applying arithmetic, logical, or statistical operations cell by cell or across neighborhoods. Formalized by Dana Tomlin in 1990, it is the foundational algebraic system underlying raster GIS analysis and is widely used in environmental science, urban planning, hydrology, and land-use modeling whenever spatially explicit calculations on gridded data are required.Least-cost path analysis finds the route between two locations that minimizes accumulated travel cost across a landscape, rather than minimizing straight-line distance. By encoding terrain, slope, land cover, and other frictions into a cost surface and accumulating cost outward from a source, it identifies optimal corridors for roads, pipelines, trails, power lines, and wildlife movement — a core raster-GIS technique built on Dijkstra's shortest-path logic.
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