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Review - Spatial Data
Map Basics
Uses of maps
shows what & where
navigation
patterns, distributions, relationships
topography
Map components
map proper
bound by neatline
may have graticule
surround (collar)
title
date
publisher
datum/ projection
legend
scale
north
Types of maps
real (or virtual)
general reference
planimetric
topographic
thematic
vegetation/ timber
habitat areas
political
etc.
Mapping Systems
NTS
1: 250,000 (e.g. 92G) - 4x4 grid; A - P
1: 50,000 (e.g. 92G / 11) - 4x4 grid; 1 - 16
BCGS
1: 20,000 (92G.011) - 10x10 grid; 1-100
1: 10,000 (92G.011.3) - 2x2 grid; 1-4
1: 5,000 (92G.011.3.2) - 2x2 grid; 1-4
Georeferencing
unique description for location
Non-Metric (no measure)
placenames, landmarks
street address
postal code, phone exchange, census, etc.
issues
"local"
repeats
inadequate for natural landscape
Metric (measured)
Measured distance/direction from P.O.C.
Coordinates
Lat/ Long
angles ... sphere
... but geoid ... use ellipsoid
lat: 0=equator, 90=poles, N/S
long: 0= prime mer., 180= int'l dateline, E/W
DD MM SS ... DD.DDD
NAD27 & NAD 83
UTM
60 zones, 6 degrees wide
zone 1: 180/174W -> goes east
zone 30/31 straddle prime mer.
each zone has its own "coord realm"
equator = 0m N
central meridian = 500,000m E
true north vs. grid north
advantages
resolution
coarse
- UTM to nearest km or 100 m
- simply provides general location (e.g. lake)
fine
- UTM to nearest 10 (or 1) metre
- provides a specific location of a feature (e.g. tree or cave)
no uncertainty, but ...
lat/long - specify E/ W & N/ S
UTM - specify zone & N or S
interpolate coord.
consider "size of grid" (look at neatline)
2 ratios
partial dist. / "full grid" dist. (cm on map)
X / "full grid" off neatline
Map Projections
Distortion: shape, area, distance, direction
developable surface: plane, cylinder, cone
tangent vs. secant
standard lines
UTM in detail - as above
Map Scale
it's a ratio (a reduction factor), word statement, scale bar
it's map/ real world, map/ real world, map/ real world ...
large vs. small scale
generalization
less detailed (accurate) ... smaller scale map
selection (omission)
combination
simplification
displacement
exaggeration
... and smoothing
Units
metric (mm - cm - m - km)
imperial (in - ft - yds - mi)
conversions
1 inch = 2.54cm
1 mi = 63,360 in = 5,280ft
Problems
3 cm = ??m on a 1: 50,000 map
3cm / X cm = 1 / 50,000
X = 150,000cm = 1,500m
7.5 cm = 1,500m, what is scale?
8cm / 160,000cm = 1 / X
X = 20,000
1 : 20,000
alternate thinking
1: 50,000
1 cm on map = 50,000 cm ground
1 cm map = 500 m ground
3 cm = ...?
map of known scale, find scale of photo
Traversing
record: direction, distance & slope angle
calculate
HD
= SD * COS(slope degrees)
COS = HD/SD ... HD as a % of SD
Elev
= HD * slope%
plotting
reduce HD to map distance
use Douglas protractor
UTM Coordinates
draw & label the box
mark A & B
distance (pythagorus)
direction
ArcTan(ratio) to get degrees
add/ subtract from reference line
Air Photos
EMR
wave energy: radio, micro, IR, visible, UV, x-ray, gamma
transmit, reflect, absorb, refract
atmos. window
spectral signature
activities
photo interp
photogrammetry
orienteering
stereoscopy
use binocular vision
view overlapping photos
form a 3D image
need
stereo pair
properly aligned
PP, CPP, flight line, distance, align stereoscope
stereoscope
lens
mirror
photos
photo number (30BCC07018 #012)
flight line
endlap, side lap
drift, crab
geometry
similar triangles
photo / real world (PD / GD)
f / H
... Alt = H + Elev
issues
scale varies with elevation
tops of objects are displaced ... hill tops are displaced
... orthophoto - scale corrected and hilltops in right place
Problems
PD= 8.2 cm, GD = 810m, scale?
8.2 cm / 81000cm = 1 / X
X = 9,878
1 : 9,878
f=12", alt=24,000ft, elev = 300m, scale?
f / H = 1 / X
got "f" (12" or 1'), need "H"
H = Alt - elev
H = 24,000ft - 300m
1m = 3.28 ft
300m = 984ft
H = 24,000ft - 984ft = 23,016 ft
1 / 23,016
GPS
How it works
24 SV's in 6 orbits
each SV sends a unique signal signal (pseudorandom code, a.k.a ...)
receiver "plays" code at same time
time diff. gives distance (speed of light)
1 SV = surface of sphere
2 SVs = hoola hoop
3 SVs = 2 points ... one usu. silly, so 3 is all you need
but time uncertain ... so need 4th to deal with time error
... just like in 2D we use 3 angles for triangulation
3 segments
space
ground
5 stations
monitor SV clocks & orbit
send corrections to SV's
SV's send correction + the pseudorandom code
receiver
Error/ uncertainty
clock (1-2m)
ephemeris (2-3m)
receiver (0.5m)
ionosphere (5m)
troposphere (0.5m)
multi-path (1m)
selective availability (100m)
PDOP (factor 3-6)
Terrain
vertical datum
methods
hill profiles (Middle Earth)
hachures
layer tinting (bands of colour)
hill shading
spot hts
contours
index, intermediate, (supplementary)
labels uphill
gullies point uphill, ridges point down
hilltop/ lake @ 1/2 interval
points - interpolate ... partial / full
slopes
slope% = rise / run ... (or slope in degrees)
SD = HD / COS (slope degrees)
if slope is in % ... convert to degrees with ArcTan
or, if have Elev ...
pythagorus
profile
use edge of paper (or draw lines straight down)
transfer to graph
vert scale is usu. exaggerated
can use for visibility analysis
grade line
to plan trails & roads
steps
determine target spacing btwn contours
find HD for contour interval of map
e.g. 15% and 20m contours
15 / 100 = 20 / ??
?? = 133m
convert to map dist.
133 m on 1 : 20,000
1 / 20,000 = Xcm / 13300cm
x = 0.67cm ... = 0.7 cm
mark points btwn contours ... then connect the dots
GIS
components
computer (hardware & software)
geographic data (spatial & attribute)
functions
input / maintain: input, edit/update, transform
analyze
query
buffer
overlay (clip, erase, update, union)
routing (911)
catchment areas
terrain analysis
output: screen, web, paper
organization/people: Tech, Analyst, Mgr.
definition
integrated components
operate on spatial data
generate new information
help with decisions
data models
vector
map: coordinates
single = point feature
connect a string = line feature
connect a closed string = polygon feature
table with descriptive data
1 : 1 features : row in table
raster
spatial data - in a grid
attribute data - #'s in the grid
resolution - real world units
Satellite Imagery
Flow of EMR
EMR from Sun
atmospheric window
stikes object (absorption / reflectance)
back to sensor - "brightness of band" gets recorded
Satellite in polar orbit
data beamed to Earth
Image
pixels (Landsat 30, SPOT 10, Ikonos 1/4)
number in pixel = "brightness" (reflectance) 0 - 255
all high = white; all low = black; all middle = ??
Spectral Signature
unique reflection of RGB & NIR
veg: lower B&R, higher G & NIR ... veg is not green
water: lower R & NIR, higher (but still low) B & G
Composites
True
R = R
G = G
B = B
False
R = NIR
G = R
B = G