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Coordinate Systems • Global Coordinate System – Latitude, Longitude and elevation • UTM – eastings and northings, reference points are the equator and the central meridians (60 of them for 60 zones) Extends from 84° N to 80 °S • State Plane – State specific, northings and eastings NAD 27 is based on feet, NAD 83 is based on meters. • There are many many more. Reference Ellipsoids and Datums • Clark 1866 spheroid – NAD 27 (Sometimes Clark 1880?) • • • • GRS 80 spheroid – NAD 83 WGS 84 spheriod – NAD 83 Sphere – for world projections Many many more. Types of Projections with examples • Planar (Azimuthal) - North Polar Stereographic • Conic – Lambert Conformal Conic, Albers Equal Area, Polyconic • Cylindrical – Mercator and Transverse Mercator GIS is composed of layers • Layers – – – – land/water roads urban areas pollution levels • Data can be represented by VECTORS, or • Data can be represented by RASTERS Vector GIS • Every object is given a location • Database consists of points, lines and polygons Raster GIS • Every location given an object • Grid – Cells or pixels Creating A Raster • Overlay grid on real world • give each cell a value Cell Values • Assume only one value per cell in any given layer • How do you decide what value to give the cell? – Value of greatest proportion? – Value of the most important feature? – Some systems allow for percent composition, edge effect Cell Values • • • • Integer Real Numbers Alphabetic Interpret using legend Characteristics of a Raster • Resolution – smallest unit discernible – often grid size, but not always • Orientation – angle that grid makes with true north • Value – information stored in cell Characteristics of a Raster • Zones – areas of continuous values • e.g. county, land parcels, etc. • Class - term used to describe all the zones of same value in a layer A B Zones A A A Class Characteristics of a Raster • Location –each cell has a unique location • often defined by bottom left corner • X, Y coordinate Storing the Information • Full length encoding – store every single cell’s value individually 1 1 1 1 1 1 1 1 1 2 encoded as 2 2 1111111211221112 1 1 1 2 Storing the Information • Run Length encoding – compress data 1 1 1 1 1 1 1 2 encoded as 1 1 2 2 711221223112 1 1 1 2 Storing the Information • Quadtree Encoding – compress data Break area into quads: if HOMOGENEOUS, encode if non-homogeneous, break down further Map A A A B A A A B A A B B A A A B 2 0 3 1 e.g. 0 and 3 is homogenous 1 and 2 are not: these are broken down further 0 A 1 2 A 3 0 1 2 3 0 1 2 3 A B B B A B A B Sources of Raster Data • Scanned Images – Aerial photographs – maps • Satellite images • Many packages work on RECTIFYING these images – photograph’s scale is not constant across image Vector GIS • Every object is given a location • Database consists of points, lines and polygons Creating a Vector GIS • Define Points – – – – fundamental property of a vector GIS no dimensions, but they have a location can have attributes associated with it used for utility poles, sampling points, wells etc. Point_id 1 Well_id 0234-1 Depth 100 Creating a Vector GIS • Define Arcs (lines) – – – – line that joins points also called chains and edges has length and direction attributes can include what is on right and left side – used to represent road, utility lines, rivers, etc. Creating a Vector GIS • Two Methods of Defining Polygons – Polygon Storage – Arc Storage – Used to represent lakes, landuse categories, forest stands, etc. Polygon Storage • Store Polygon as series of points, starting and ending at same point 0,1 1,1 (1,0) (1,1) (0,1) (1,0) 1,0 • Each line encoded twice • Difficult to dissolve boundary Polygon Storage - Use Arcs (more common) • • • • 0,2 d 0,0 Every arc stored as a sequence of points Every polygon stored as series of arcs Boundaries only stored once Nodes are points where arcs meet or end d A 4,2 c B a 4,0 6,2 g e f 6,0 Arc ID a b c d e f g Start (0,0) (4,0) (4,2) (0,2) (4,0) (6,0) (6,2) End (4,0) (4,2) (0,2) (0,0) (6,0) (6,2) (4,2) Polygon ID A B Number of Arcs 4 4 Arc ID's a, b, c, d c, e, f, g Topology • The geometric relationship between objects located in space. – Adjacency – Containment – Connectivity Raster and Vector Summary • Vectors have advantage of accuracy but not good with continuous fields • Vectors were used first - digitizing • Earliest include ASCII (x,y coordinates but got too large) then binary took over. • Raster not good with lines or points but good with continuous coverage areas. • Raster has the mixed pixel problem. Raster Advantages: • Simple data structure • Compatible with remotely sensed or scanned data • Simple spatial analysis procedures Raster Disadvantages: • Requires greater storage space on computer • Depending on pixel size, graphical output may be less pleasing • Projection transformations are more difficult • More difficult to represent topological relationships Vector Advantages • Requires less disk storage space • Topological relationships are readily maintained • Graphical output more closely resembles handdrawn maps Vector Disadvantages • More complex data structure • Not as compatible with remotely sensed data • Software and hardware are often more expensive • Some spatial analysis procedures may be more difficult • Overlaying multiple vector maps is often time consuming Maps as numbers • Binary 0000 1111 – Eight bits in a row are termed a byte – 256 conbinations or 0 to 255 • ASCII text- American Standard Code for Information Interchange - 256 standard meanings for the values that fall into one byte. (letters, numbers, special characters) Vector Data Formats • DXF Digital Exchange Format (Autocad) ASCIIw/binary code mantains layers • ArcView Shapefiles 9 (.shp) • HPGL Hewlett-Packard Graphics Language – A device-specific but industry standard language for defining vector graphics in page coordinates (ASCII) no topology • Adobe PostScript ASCII Vector Data Formats • DLG Digital Line Graph - USGS (1:100,000 & 1:24,000) ASCII UTM • TIGER U.S. Census Bureau (Topologically Integrated Geographic Encoding and Referencing) – Geocoded block address-matching – Topology correct, but accuracy problems Raster Data Formats • • • • • DRG Digital Raster Graph TIF Tagged Interchange Format GIF Graphics Interchange Format JPEG Joint Photographic Experts Group GeoTiff – Geographical referenced TIF Files