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Georeferencing in GIS
Yuji Murayama
Division of Spatial Information Science
Brandon M. Vista
Teaching Assistant
Georeferencing
Is process of associating data points with specific locations on the earth’s surface.
It encompasses the definition, the physical/geometric constructs and the tools required to describe the geometry and motions of objects near and on the Earth`s surface.
Why is there a need for georeferencing in GIS?
Maps are a common source of input data for a GIS.  Often input maps will be in different projections, requiring transformation of one or all maps to make coordinates compatible.
GIS are used for projects of global or regional scales so consideration of the effect of the earth's curvature is necessary.
Monitor screens are analogous to a flat sheet of paper, and need transformations from the curved surface to the plane for displaying data.
International Terrestrial Reference System
Spatial Reference Surfaces and Datums
Latitude and Longtitude
Is the most comprehensive and powerful method of georeferencing
Metric, standard, stable, unique
Uses a well-defined and fixed reference frame
Based on the Earth’s rotation and center of mass, and the Greenwich Meridian
Latitude and Longitude
Latitude represents an angular distance along a meridian north or south from the equator.
Longitude is an angular distance of a point on the earth's surface east or west of an arbitrarily defined meridian, usually the Greenwich meridian (Greenwich, England).
A line of longitude running vertically from the north pole to the south pole, but unlike lines of longitude, meridians terminate at the poles.
The Prime Meridian, currently called the Greenwich Meridian, runs through Greenwich, England, was agreed in 1884 as being the central meridian from which all other meridians would be referenced to in order to calculate longitude.
Map Projection
Because the earth is three-dimensional, some method must be used to depict the map in two dimensions. Therefore such representations distort some parameter of the earth's surface, be it distance, area, shape, or direction
A map projection is a method of representing the earth's three-dimensional surface as a flat two-dimensional surface. This normally involves a mathematical model that transforms the locations of features on the earth's surface to locations on a two-dimensional surface.
Distortions
Any projection must distort the Earth in some way.  Distortion properties are usually classified according to what is not distorted on the map as follows:
Conformal property: Angles between lines on the curved reference surface are identical to the angles between the images of these lines on the map; Shapes of small features are preserved: anywhere on the projection the distortion is the same in all directions
Equal area property: area enclosed by the lines in the map are preserved but shapes are distorted
Equidistant property: length of a particular lines in the map are preserved
Three classes of map projections (Tangent - normal projection)
Three classes of map projections (Secant – ormal projection)
Other Projections
 (Transverse and Oblique projections)
Cylindrical Projections
Conceptualized as the result of wrapping a cylinder of paper around the Earth
Example: Mercator Sinusoidal
Conic Projections
Conceptualized as the result of wrapping a cone of paper around the Earth
Example: Lambert Conformal Conic
Azimuthal Projection
Conceptualized as the result of projecting a spherical surface onto a plane
Example: Gnomonic
The Universal Transverse Mercator (UTM) Projection
Developed in 1947 by US army
A type of cylindrical projection but unlike the normal cylindrical projection, it is called Transverse Mercator because the cylinder is wrapped around the Poles, not on the Equator.
Currently, the WGS84 ellipsoid is used as the underlying model of the Earth in the UTM coordinate system.
Implemented as an internationally standard coordinate system
スライド17
Summary of Projection Properties
References
Longley, Paul et. al (2005).  Geographic Information Systems and Science.  2nd ed. England: John Wiley & Sons, Ltd.
de By, Royce A., et. al. (2001). Principles of Geographic Information System: An Introductory Textbook. Royce de By (ed). Netherlands: International Institute for Geoinformation Science and Earth Observation (ITC).
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