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CE 250 - Introduction to Surveying and Geographic Information Systems eLearning Version Donald J. Leone, Ph.D., P.E. Lecture 4 Introduction Data Analysis Operations – turning data into information Measurement Techniques Introduction Data Analysis Operations – turning data into information Measurement Techniques Attribute Queries Introduction Data Analysis Operations – turning data into information Measurement Techniques Attribute Queries Proximity Analysis Introduction Data Analysis Operations – turning data into information Measurement Techniques Attribute Queries Proximity Analysis Overlay Operations Introduction Data Analysis Operations – turning data into information Measurement Techniques Attribute Queries Proximity Analysis Overlay Operations Analysis of Models of Surfaces and Networks Data Analysis Terminology Term Definition Entity Point, line, polygon Attribute Data about an entity Feature Object in Real world to be mapped. Data Layer Data for an area of common interest. Image Data in a raster format Cell An individual pixel in a raster image Function or Operation Algorithm A data analysis procedure performed by a GIS A plan composed of a series of steps to solve a problem. Measurement Techniques Measurements Attribute Queries Proximity Analysis Overlay Operations Analysis of Models of Surfaces and Networks Lengths, Perimeters and Areas Vector Data Raster Data Vector GIS Measurements Raster GIS Measurements C3 1 2 3 4 A3C3 = 5 units Pythagorean Distance Manhattan Distance Perimeter = 26 Units Area = 28 Units Proximity Distance Measurement Techniques Attribute Queries Queries Proximity Analysis Overlay Operations Analysis of Models of Surfaces and Networks Search or Browse the database. Retrieve data. Answer questions “How many?” Answer questions “Where are they?” Answer questions with more than one criteria using Boolean Operators. Boolean Operators Ski resort Example A = Luxury hotels B = Hotels with more than 20 rooms Boolean Operators Continued Four questions can be answered. 1.Which are hotels are Luxury and have more than 20 rooms? 2.Which hotels are Luxury or have more that 20 rooms? 3.Which hotels are Luxury but do not have 20 or more bedrooms? 4.Which hotels are either Luxury or have more that 20 bedrooms, but not both? Boolean Operators A AND B A OR B “ Hotels”=‘Luxury’ AND ‘Bedrooms’>20 A NOT B A XOR B Venn Diagrams Measurement Techniques Attribute Queries Queries Proximity Analysis Overlay Operations Analysis of Models of Surfaces and Networks Raster Data Reclassification. Can produce a Boolean Image. Example: Land Use Raster Image Where are all the forested areas? Bloomfield Land Use Bloomfield Land Use Only Forest Measurement Techniques Attribute Queries Proximity Analysis Overlay Operations Analysis of Models of Surfaces and Networks Proximity Analysis a.k.a. Buffering Buffering: The creation of a zone of interest around an entity, or set of entities. Buffer Zones Point Line Area 3 km Buffer Zones Around Railway System Proximity Map For Hotels in Ski Resort Distance Surface 125 m Buffer Zones Measurement Techniques Attribute Queries Proximity Analysis Overlay Operations Overlay Operations Analysis of Models of Surfaces and Networks Overlay Operations: Simply drawing one map or layer over another. GIS operation that combines information from two layers into a new layer. Vector Overlay Operations Data layers overlayed have to be topologically correct. Intersections of lines and polygons from original layers form new lines and new polygons in the new layer. Laws of Geometry and a lot of computational power needed. Vector Overlay Types Point-in polygon Line-in-polygon Polygon-in-polygon Point-in-Polygon Layer 1 Layer 2 New Layer New Attribute Table Line-in-Polygon Layer 1 Layer 2 New Layer New Attribute Table 1 2 4 3 1 2 1 Layer 1 Layer 2 New Layer Polygon-in-Polygon IDENTITY (NOT) Vector Overlay Rail Buffer Zone and Clay Geology Little Grey Cells Quiz A raster image is made up of cells. T or F Which Boolean operator will allow both conditions to exist simultaneously? The creation of a zone of interest around an entity, or set of entities is called an overlay. T or F Break! Raster Overlay Operations Points, lines, and areas represented by cells or groups of cells. Uses map algebra, +, -, x, ÷ Coding or values in the cells needs to be understood. Sometimes Boolean images used. Raster Point-in-Polygon - ADD Raster Line-in-Polygon - ADD Raster Polygon-in-Polygon - ADD Raster Polygon-in-Polygon - +,x Using Boolean Alternatives Measurement Techniques Attribute Queries Proximity Analysis Overlay Operations Spatial Interpolation Analysis of Models of Surfaces and Networks Estimating values at unsampled locations. Often used to produce contour surfaces. Data formed is only an estimate. GIS software offer interpolation schemes. Spatial Interpolation Techniques Thiessen Polygons. Data Point Interpolated Surface -Thiessen Polygons Original Elevation Surface Interpolated Surface Thiessen Polygons w/Sample Points Spatial Interpolation Techniques Thiessen Polygons. Triangular Irregular Networks – TINS. Interpolated Elevation - TIN Original Elevation Surface w/Sample Points Interpolated Elevation TIN Spatial Interpolation Techniques Thiessen Polygons. Triangular Irregular Networks – TINS. Distance Weighting Function – Spatial Moving Average. Z0 = zi(1/di ) 2 n i=1∑ (1/di ) i=1 ∑n 2 Interpolated Elevation Distance Weighted Average Original Elevation Surface w/Sample Points Interpolated Elevation Distance Weighted Average Analysis of Surfaces DTM Surfaces Slope/Aspect Visibility Analysis of Surfaces Slope/Aspect S c Slope: b θ in degrees, radians Tan(θ)=c/b θ tan (θ) = rise/run = c/b % = 100 Tan(θ) θ N Analysis of Surfaces Slope/Aspect Raster DTM 3x3 Window Determine the Best Fit tilted plane Slope Line S2= b2 + c2 Slope Gradient Angle (Slope) z = a + bx + cy A = tan-1 (c/b) Aspect – Horizontal angle measured to horizontal projection of slope line. Slope and Aspect Surfaces South Facing North Facing Flat Steep Visibility Analysis Line drawn from observer to other points. Ray Tracing finds blockage areas. Repeated ray tracing around observation point – Viewshed. Ray Tracing for Visibility Analysis Viewshed Analysis Network Analysis A set of interconnected lines through which resources can flow. Most Applications – Road Networks Impedance Values Network links Turns One way or closed streets Overpasses and Underpasses. Network Example Find the Shortest Path between Cities 1 and 6 (20) 2 (39) 1 (53) (58) X = City Number 3 (25) (19) 6 4 (13) 5 (13) (Y) = Impedance in Minutes Shortest Path Example Impedance in Minutes (20) 2 (39) 1 (2) 20 (53) (58) 3 (25) (19) 6 4 (13) 5 (13) (1) (2) (3) (4) (5) (6) (1) 0 20 53 58 0 0 Cities 0 39 0 0 0 (3) 53 39 0 25 0 19 (4) 58 0 25 0 13 0 (5) 0 0 0 13 0 13 (6) 0 0 19 0 13 0 Cartographic Model Formulation Problem: Find a suitable site to store nuclear waste Criteria: Suitable geology Away from high concentrations of population Away from major roads Cannot be located in Conservation Area Original Data QUERY QUERY G I S P r o c e s s Final Map Cartographic Model Answer to Problem Summary Data Analysis Operations – turning data into information Measurement Techniques Attribute Queries Proximity Analysis Overlay Operations Analysis of Models of Surfaces and Networks Cartographic Model What’s Next Up to now – Data Formation/Data Analysis Next – Semester Project