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Review - Maps & Photos
the MATH
unit conversions
imperial (provided)
1 inch = 2.54cm
1m = 3.28 ft
1 mile = 63,360 in = 5,280ft
metric (you should know)
1 m = 100 cm = 1,000 mm
1 km = 1,000 m
1 ha = 10,000 sq m
dash = dash
Scale
map scale
map / RW
photo scale
photo / RW
f / H
Interpolation
coordinate
short / long
spot ht. - contour
short / long
Area
dot grid / graph paper ... squares
1) size of square in RW units
2) number of squares (2 counts better than one)
partial squares or borderline dots ... = 1/2
triangles
Trig
SOH CAH TOA ... ratios
3 diff ratios for the same angle
= top as "%" of bottom
angle can also be in DEGREES
ratio ↔ degrees
degrees → ratio ... Tan ... (e.g. Tan(45) = 1 )
ratio → degrees ... ArcTan ... (e.g. ArcTan(1) = 45 )
clino % is Tan
LATs & DEPs
Dep (Easting) = Sin(brg) * HD
Lat (Northing) = Cos(brg) * HD
brg from UTM
ratio of interest = opp / adj
ArcTan (opp/adj) = degrees
add/subtract with reference cardinal brg
Pythagoras
a^2 + b^2 = c^2
grade line
grade % = contour interval
(also a dash = dash)
misc.
A = E + H
hill profile
"straight down", measure, mark edge of paper
DD MM SS ↔ DD.DDD
DD MM SS → decimal
MM / 60 + SS / 3600
49 25' 44" as DD.DDD
25 / 60 + 44 / 3600
0.417 + 0.012
49.429
decimal → DD MM SS
decimal * 60 = MM, left over decimal * 60 = SS
49.429 as DD MM SS
0.429 * 60 = 25.74 ... 25'
0.74 * 60 = 44.4"
49 25' 44"
the CONCEPTS
Map Basics
Uses of maps
Map components
Types of maps
media: mental, paper, digital (virtual)
general reference (planimetric, topographic)
thematic (inventory, soils, elections)
Mapping Systems
NTS
BCGS
map generalization
select / omit
simplify
aggregate
displace
exaggerate
smooth
Georeferencing
unique description for location on Earth's surface
Non-Metric (no measure)
nominal or ordinal
landmarks, place names
street address
issues
"local"
repeats
inadequate for natural landscape
Metric (measured)
lat/long ... specify E/ W & N/ S
datums
UTM ... specify zone & N or S
60 zones @ 6 degrees
Northing: equator = 0m
Easting: central meridian = 500,000m (for each zone)
Map Projections
Distortion: shape, area, distance, direction
developable surface: plane, cylinder, cone
tangent vs. secant
standard lines
Mercator, UTM, BC Albers Equal Area
Terrain
vertical datum
methods
layer tinting (bands of colour)
hill shading
hachures
hill profiles
spot hts
contours
GPS
How it works
24 SV's in high orbit
each sends a unique signal signal (pseudorandom code)
time diff. gives distance (speed of light)
1 SV = sphere ...
3 segments
Error/ uncertainty
clock
ephemeris
ionosphere & troposphere
multi-path
reciever
PDOP (spacing & mask)
selective availability
differential correction
Remote Sensing
EMR
wave energy: gamma ... visible ... radio
4 interactions
atmos. window
air photos
activities
photo interp
photogrammetry
orienteering
stereoscopy
use binocular vision
view overlapping photos
form a 3D image
need
stereo pair
properly aligned
stereoscope
photos
photo number
flight line
endlap, side lap
drift, crab
issues
scale varies with elevation
tops of objects are displaced ... hill tops are displaced
orthophoto
Satellite
path of EMR = interactions along the way
bands
composites
normal & false
spectral signature
LiDAR
active ... "Li" = light
point cloud
DSM vs. DEM