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Linear referencing

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Linear referencing, also called linear reference system or linear referencing system (LRS), is a method of spatial referencing over linear or curvilinear elements, such as roads or rivers. In LRS, the locations of physical features are described parametrically in terms of a single curvilinear coordinate, typically the distance traveled from a fixed point, such as a milestone. It is an alternative to referencing by geographic coordinates, which would involve two coordinates, latitude and longitude.

MilestoneMilestoneA milestone is a numbered marker placed on a route such as a road, railway line, canal or boundary. They can indicate the distance to towns, cities, and other places or landmarks like mileage signs; or they can give their position on the route relative to some datum location (a zero milepost). On roads they are typically located at the side or in a median or central reservation.EngineeringEngineeringEngineering is the practice of systematically applying natural science and mathematics to design and improve systems, devices, or processes that solve problems under constraints. It is typically motivated by satisfying human needs, resulting in creations such as bridges, engines, smartphones, pacemakers, the internet, spacecraft, and washing machines.Curvilinear coordinatesCurvilinear coordinatesIn geometry, curvilinear coordinates are a coordinate system for Euclidean space in which the coordinate lines may be curved. These coordinates may be derived from a set of Cartesian coordinates by using a transformation that is locally invertible (a one-to-one map) at each point. This means that one can convert a point given in a Cartesian coordinate system to its curvilinear coordinates and back.RiverRiverA river is a natural stream of fresh water that flows on land or inside caves towards another body of water at a lower elevation, such as an ocean, lake, or another river. A river may run dry before reaching the end of its course if it runs out of water, or only flow during certain seasons. Rivers are regulated by the water cycle, the processes by which water moves around the Earth.Geographic coordinate systemGeographic coordinate systemInternational Terrestrial Reference SystemSpatial Reference System Identifier (SRID)Universal Transverse Mercator (UTM)ConstructionConstructionConstruction is the process involved in delivering buildings, infrastructure, industrial facilities, and associated activities through to the end of their life. It typically starts with planning, financing, and design that continues until the asset is built and ready for use. Construction also covers repairs and maintenance work, any work to expand, extend, and improve the asset, and its eventual demolition, dismantling, or decommissioning.RoadRoadLand routeBundesautobahn 73 and its slip road leading to Erlangen, in GermanyA road is a thoroughfare from one place to another, primarily used for movement of traffic. Many roads are paved. The words "road" and "street" are commonly considered to be interchangeable, but the distinction is important in urban design. Roads differ from streets, whose primary use is local access. Roads also differ from stroads, which combine the features of streets and roads.PipelinePipelineA pipeline is a system of pipes for long-distance transportation of a liquid or gas, typically to a market area for consumption. Industry datasets indicate the length of the global trunk/transmission pipeline network is on the order of ~2.19 million km by 2025, with North America accounting for ~44%. The United States had 65%, Russia had 8%, and Canada had 3%, thus 76% of all pipeline were in these three countries.GeoreferencingGeoreferencing or georegistration is a type of coordinate transformation that binds a digital raster image or vector database that represents a geographic space (usually a scanned map or aerial photograph) to a spatial reference system, thus locating the digital data in the real world. It is thus the geographic form of image registration or image rectification.Parametric equationParametric equationIn mathematics, a parametric equation expresses several quantities, such as the coordinates of a point, as functions of one or more variables called parameters. In the case of a single parameter, parametric equations are commonly used to express the trajectory of a moving point. For this case, the parameter is often, but not necessarily, time, and the point describes a curve, called a parametric curve.Rail transportRail transportMode of transportA train in Alaska transporting crude oil in March 2006Rail transport (also known as train transport) is a mode of transport using wheeled vehicles running on tracks, which usually consist of two parallel steel rails. Rail transport is one of the two primary means of land transport, next to road transport. It is used for about 8% of passenger and freight transport globally, thanks to its energy efficiency and potentially high speed.Data communicationData communicationData communication is the transfer of data over a point-to-point or point-to-multipoint communication channel. Data communication comprises data transmission and data reception and can be classified as analog transmission and digital communications. Analog data communication conveys voice, data, image, signal or video information using a continuous signal, which varies in amplitude, phase, or some other property.

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