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Relief Displacement
Terms
Perspective View
scene viewed from single viewpoint
photo (camera ... lens)
Orthographic View
every point seen directly overhead
true horizontal position
map
ortho vs. perspective
Parallax
diff. in viewpoint btwn two eyes
apparent change in position of an object
provides 3D perception via binocular vision
use 2 air photos to determine height, or elevation ...
... how topographic (contour) maps are made
Displacement
shift in position on photo due to difference in height (elevation)
Equivalent Terms
Relief Displacement
Radial Displacement
Planimetric Shift
Topographic Displacement
use 1 air photo to determine height
Photo Datum
reference surface (for measurements)
base elevation of photo (typically at PP)
Geometry
similar triangles ...
... yup, it's ratios ... again
D/R = d/r ...
D/R = h/H ...
d/r = h/H
Displacement (d) varies with
radial distance from PP to top (r)
height of object (h)
flying Height (H)
also focal length
draw diagrams ...
Conditions
vertical air photo for geometry - no tilt
H is known (or can be determined)
object is vertical (no lean)
top & bottom (i.e. a sideview) visible
displacement large enough to measure
object is large enough
far enough from PP
photo scale is "large"
limitations?
ability to see & measure the object
can measure to nearest 1/2 mm
could be out by 1/4 mm
What it means
we can measure heights
hill tops are in the wrong spot ...
bearings?
Worked Examples
height (h) of building
d=0.45cm, r=5.95cm, H=914m
d/r = h/H ... h = d/r * H
height (h) of building2
d=0.95cm, r=12.75cm, H=914m
d/r = h/H ... h = d/r * H
height (h) of tank
h=?, d=1.15mm (tank), r=8.25cm, A=5200ft, E=1200ft
d/r = h/H ... h = d/r * H
have d & r ... H= ...
displacement (d) of hilltop
r=8.0cm, A=10,000ft, E(pp)=200m, E(hill)=900m
d/r = h/H ... d = r * h/H
have r, h= ..., H=...
Orthophoto
"putting the hills where they belong" (prev. example)
rectification (rubber sheeting)
to 'shift objects to where they belong'
removes relief displacement
= "photomap"
no longer viewable in 3D