GEOG*2420
            The Earth From Space
            
            Photogrammetry Part 3
            
            
            John Lindsay
            Fall 2015
          
				
				
		      Methods based on parallax
		      
		        - The effect whereby the position or direction of an object appears to
							differ when viewed from different positions.
 
		        - These are the most useful approaches to measuring heights from images.
 
		        - Requires high quality stereoscopic photo pairs (two overlapping images).
 
		        - Image tilt must be less than 3 degrees.
 
						- Images must be taken from the same height.
 
		      
		    
				
		      Parallax
					
					(From: Booyabazooka CC License)
		    
				
				
		      Parallax
					
					(From: Jensen 2007)
		    
				
				
		      Steroscopic viewing methods
					
					(From: Jensen 2007)
		    
				
		      Lens Stereoscope with Parallax Bar
					
					(From: Jensen 2007)
		    
				
		      
					(From: Jensen 2007)
		    
				
		      
					(From: Jensen 2007)
		    
				
		      
					
Notice that the average absolute
						parallax (Distance between PP and CPP) is the image distance equivalent to
						the air base.
		    
				
		      Parallax equation for level terrain
					\(h = \frac {H{dP}}{P + {dP}}\)
		      
		        - h = height of the object being measured
 
		        - H = flying hgt. above the object base
 
		        - P = Average absolute parallax (avg. Distance between PP and CPP)
 
		        - dP = difference in parallax between top and bottom of the object
 
		      
		    
				
		      
					
(From: Mersey)
		    
				
		      Parallax equation for mountainous terrain
					\(h = \frac {H{dP}}{P + \frac {P \Delta E}{H} {dP}}\)
		      
		        - ΔE =  Elevation difference between the object
							base and the average of the two PPs, + if higher and – if lower.
 
		      
		    
				
					Measuring P
		      
					
(From: Mersey)
		    
				
					Measuring dP
		      
					
(From: Mersey)
		    
				
					Measuring dP
		      
					
(From: Mersey)
		    
				
					
					
(From: Jensen 2007)
		    
				
					
					
(From: Jensen 2007)
		    
				
				
					Using a parallax bar to 
measure differential parallax
					
					
(From: Mersey)
		    
				
					Extraction of Building Infrastructure Using
						Soft-Copy Photogrammetric Techniques
					
					
(From: Jensen 2007)
		    
				
					
					
(From: Jensen 2007)
		    
				
		      Digital Elevation Models (DEMs)
		      
		        - You can calculate the parallax for any location on stereo-images. 
 
		        
- It is commonly the case that this would be done along a regular grid
							and these x, y, z points then used to create DEMs.
 
		      
		    
				
					Digital Elevation Models (DEMs)
					
		    
				
		      Digital Elevation Models (DEMs)
		      
		        - In the field of Computer Vision (stereo-vision), a disparity map/image
						is equivalent to a DEM...measures the distance from the camera.
 
						
- Often calculated using OpenCV or Matlab software and from
						images taken by uncalibrated cameras.
 
						
- These frequently lack the precision of a survey-grade DEM.
 
		      
		    
				
					Disparity Map
					
					(From: Sepehri)
		    
				
		      Photogrammetry isn't just 
about measuring heights
		      
		        - It also includes measuring heights, angles, distances, and areas.
 
		        
- Why might you want to measure an area off imagery?
 
		      
		    
				
		      The challenges...
		      
		        - It's easy to measure the area of simple shapes but what about more
							complex shapes?
 
		        
- Images are not maps and are affected by distortions and displacements.
 
						
- Raw images have non-uniform scale throughout.
 
		      
		    
				
					Areas of simple shapes
					
		    
				
					But what about the area of this?
					
		    
				
		      Methods for measuring areas
		      
		        - Weight apportionment method
							
								- Calculates the percent coverage of a particular land cover compared to total
 
								- Need a very precise balance
 
							
						 
		        
- Dot count method
							
								- Transparent overlay with fine grid of dots
 
							
						 
		      
		    
				
		      Methods for measuring areas
		      
		        - Planimeter
							
								- Specially designed instrument to measure perimeters and areas
 
								- Must convert to ground units.
 
							
						 
						
- Digitizing tablets
 
						
- On-screen digitizing
 
		      
		    
				
		      On-screen digitizing
		      
		        - Either scan a hardcopy image or use digital imagery.
 
						
- Digitizing takes place in a geographic information system (GIS).
 
						
- Each digitized polygon becomes a record in a GIS attribute table.
 
						
- The attribute (e.g. Forest, farmland), perimeter, and area are easily queried from the table.
 
		      
		    
				
				
		      On-screen digitizing
		      
		        - Best to geometrically rectify before you digitize!
 
						
- This is the process of creating an orthophoto to serve as the base
							for digitizing.
 
		      
		    
				
		      Orthophotos/Orthoimages
		      
		        - Convert images with perspective projections (conical bundle of rays) to
							an orthographic projection (parallel rays)
 
		      
					
		    
				
		      Orthophotos/Orthoimages
		      
		        - The effects of tilt and relief are removed.
 
						
- An orthophoto is a uniform-scale photograph. It is a
							photographic map.
 
						
- Since an orthophoto has a uniform scale, it is possible to measure
							directly on it like other maps.
 
		      
		    
				
					
					
(From: USGS)
		    
				
		      Orthophotos/Orthoimages
		      
		        - The accuracy of a digital orthoimage is a function of:
							
								- The quality of the raw imagery
 
								- The ground control points (GCPs)
 
								- The quality and character of the DEM
 
							
						 
		      
		    
				
		      Orthophotos/Orthoimages
		      
		        - Orthorectification is challenging in areas of rapid elevation change, which is
							common in urban areas containing tall buildings.
 
						
- So called 'True' orthoimages not only remove topographic displacement due to
							the terrain, but also the effects of off-terrain objects.
 
						
						
- This requires a digital surface model (DSM) rather than a bare-Earth DEM.
 
		      
		    
				
					True Orthophotos/Orthoimages
					
					(From: Nielsen, 2004)