Flashcards

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UAV vs UAS — difference?

maybe drone
  • UAV — the aircraft itself.
  • UAS — the whole system: aircraft + ground control + wireless data link.

Part 107 regulations talk in terms of systems, not just vehicles.

Wien’s Displacement Law — formula and the two peak wavelengths to know?

essential emr

Hot things glow short, cool things glow long. That’s the whole law in plain terms.

  • The Sun is super hot, so it glows in visible light (we can see it).
  • The Earth is cool, so it glows in thermal infrared (we can’t see it, but our sensors can).

That’s exactly why we use VIS/NIR sensors to capture reflected sunlight, and thermal infrared sensors to capture Earth’s own heat — at night, in the dark, all the time.

🔬 Science / formula

λ_max = 2897.8 / T (µm, T in K)

  • Sun (~6000 K): λ_max ≈ 0.483 µm (visible)
  • Earth (~300 K): λ_max ≈ 9.66 µm (thermal IR)

Hotter → shorter peak wavelength.

💡

Hot = short, cool = long. Sun hot → 0.48 µm (visible). Earth cool → 9.66 µm (thermal IR). That's why we use VIS/NIR for reflected solar and thermal IR for emitted Earth.

Stefan–Boltzmann Law?

essential emr

How brightly something glows depends on its temperature to the fourth power — meaning a small temp jump produces a huge brightness jump.

  • Double the temperature → 16× the radiation.
  • Triple it → 81×.

That’s why a campfire feels exponentially warmer than warm tea, and why thermal satellite sensors can detect 1°C differences across a landscape — the signal isn’t subtle once you know to look at the right wavelength.

🔬 Science / formula

M_λ = σ · T⁴ — total emitted power per m² from a blackbody.

  • σ = 5.6697 × 10⁻⁸ W/(m²·K⁴)
  • T in Kelvin
  • Real objects: ε · σ · T⁴ (ε = emissivity)
  • Emitted energy scales with T⁴ — why thermal sensors are so sensitive.
💡

SB = Super Boost. T to the FOURTH — double the temp, 16× the energy. That's why a 300 K Earth emits radiation at all.

Three types of atmospheric scattering?

essential emr

Classified by particle size relative to wavelength:

  • 🟦 Rayleigh — particles ≪ λ
    • Source: air molecules (N₂, O₂)
    • Affects: short wavelengths most (1/λ⁴ dependence)
    • Result: blue sky at noon, red at sunset
  • 🌫️ Mie — particles ≈ λ
    • Source: dust, smoke, aerosols, pollen
    • Affects: longer wavelengths and all of visible
    • Result: hazy skies
  • ☁️ Non-selective — particles ≫ λ
    • Source: water droplets, ice crystals
    • Affects: all wavelengths equally
    • Result: white clouds (B + G + R scattered equally → white)
💡

Rayleigh → blue sky (short wins). Mie → haze (particles match wavelength). Non-selective → white clouds (big droplets scatter ALL colors equally = white).

Active vs passive remote sensing?

likely emr
  • 👂 Passive — sensor only receives natural energy
    • Source: solar reflection or target’s thermal emission
    • Examples: Landsat, MODIS, SPOT, IKONOS
    • Limit: needs the Sun (or warm objects for thermal)
  • 📢 Active — sensor emits its own pulse and measures the return
    • Works day or night, often through clouds
    • Examples: Radar, LiDAR, scatterometers

Mnemonic: passive listens; active shouts and listens.

💡

Passive = listens. Active = shouts and listens. Active works at night (radar/LiDAR don't need the sun).

Atmospheric windows — which spectral regions transmit well?

likely emr

Bands where the atmosphere lets EM radiation through to the sensor:

  • 🟦🟩🟥 Visible (0.4 – 0.7 µm)
  • 🟪 Near-infrared (0.7 – 1.3 µm)
  • 🟫 Middle / shortwave IR (1.3 – 3.0 µm, with gaps)
  • 🔥 Thermal IR
    • 3.0 – 5.0 µm (smaller window)
    • 8 – 14 µm (big thermal window — Landsat TIRS lives here)
  • 📡 Microwave (1 mm – 1 m) — radar; essentially all-weather

⚠️ Blocked regions are dominated by H₂O and CO₂ absorption.

Photo scale formula for an aerial photograph?

likely airborne

Photo scale is just focal length divided by flying height.

  • Big focal length, low altitude → zoomed in, small ground area, lots of detail.
  • Small focal length, high altitude → wide view, big ground area, less detail.

Same trade-off as your phone camera — wide-angle covers more, telephoto zooms in. Aerial cameras are the same physics, just a few thousand feet up.

🔬 Science / formula

📐 S = f / H

  • 🔍 f = camera focal length
  • ⬇️ H = flying height above the terrain

Three ways to express scale: - 🗣️ Verbal: “1 cm = 1 km” - 🔢 Ratio (RF): 1:100 000 - 📏 Graphic bar: drawn on the map

⚠️ Larger denominator = smaller scale. A 1:100 000 map shows less detail than 1:10 000.

Vertical vs oblique aerial photography — the 3° rule?

likely airborne
  • 📷 Vertical — optical axis within 3° of straight down
    • Less geometric distortion (uniform scale)
    • Used for: planimetric maps, topographic maps, orthophotos, DEMs
  • 🎥 Oblique — optical axis > 3° from vertical
    • More distortion (foreground big, background small)
    • Covers a larger area in one frame, shows terrain relief

Mnemonic: nadir is dead-center, oblique is at an angle.

True-color composite on Landsat TM — band-to-color-gun mapping?

likely airborne

Band Combination 3-2-1 on Landsat TM:

  • 🟥 R display gun ← Band 3 (Red)
  • 🟩 G display gun ← Band 2 (Green)
  • 🟦 B display gun ← Band 1 (Blue)

Each band feeds the matching color gun → image looks roughly natural.

⚠️ On Landsat 8/9 OLI (numbering shifted by 1 because coastal/aerosol = Band 1): - 🟥 R ← Band 4 (Red) - 🟩 G ← Band 3 (Green) - 🟦 B ← Band 2 (Blue)

💡

True color = 3-2-1 countdown (on TM). Each band matches its real color. OLI just shifts everything up by 1.

False-color (CIR) composite on Landsat TM — band-to-color-gun mapping?

likely airborne

Band Combination 4-3-2 (color-infrared, CIR) on Landsat TM:

  • 🟥 R display gun ← Band 4 (NIR) → 🌳 vegetation glows red
  • 🟩 G display gun ← Band 3 (Red)
  • 🟦 B display gun ← Band 2 (Green)

Each band feeds the next display gun up — one color shifted.

⚠️ On Landsat 8/9 OLI: R=B5, G=B4, B=B3.

🔎 Field check: if vegetation looks bright red, you’re looking at CIR.

💡

False color = 4-3-2 (one higher than true color). NIR → Red gun = vegetation glows BRIGHT RED. If veg is red in your image, it's CIR.

Landsat 9 — launch date, altitude, sensors?

essential landsat
  • 🚀 Launch: Sept 27, 2021
  • 🛰️ Orbit
    • Altitude: 705 km
    • Sun-synchronous, 10 AM equator crossing
    • 16-day repeat (8-day combined with Landsat 8)
  • 📷 Sensors (the “-2” matches Landsat-9)
    • OLI-2 — Operational Land Imager: 9 bands, 30 m VSWIR, 15 m pan
    • TIRS-2 — Thermal Infrared Sensor: 2 thermal bands at 100 m
  • 🎚️ Radiometric: 14-bit (vs 12-bit on L8, 8-bit on L5/7)
💡

705 km, 2021. OLI-2 + TIRS-2 (the '-2' matches Landsat-9). With L8 flying opposite, combined revisit ≈ 8 days.

Landsat TM — 7 bands and their resolutions?

essential landsat

TM has 7 spectral bands. All 30 m except thermal at 120 m.

  • 🟦🟩🟥 Visible (30 m)
    • Band 1 · Blue · 0.45–0.52 µm
    • Band 2 · Green · 0.52–0.60 µm
    • Band 3 · Red · 0.63–0.69 µm
  • 🟪 Near-infrared (30 m)
    • Band 4 · NIR · 0.76–0.90 µm
  • 🟫 Shortwave infrared (30 m)
    • Band 5 · SWIR-1 · 1.55–1.75 µm
    • Band 7 · SWIR-2 · 2.08–2.35 µm
  • 🔥 Thermalcoarser: 120 m
    • Band 6 · Thermal IR · 10.4–12.5 µm

⚠️ Numbering oddity: 1-2-3-4-5-7-6. Band 7 was added later and squeezed in spectrally between 5 and 6 but numbered last.

💡

Bands 1-2-3-4-5-7-6. Yes, 7 before 6. All 30 m except thermal band 6 at 120 m. Watch for 'Band 4 = NIR' (on TM) vs 'Band 5 = NIR' (on OLI).

Landsat WRS-2 — path/row grid specs?

likely landsat
  • 🌐 Grid size: 233 paths × 248 rows covering the globe
  • 🧭 Numbering
    • Paths numbered westward — Path 001 over eastern Greenland & S. America
    • Rows numbered southward from 80°N — Row 60 ≈ equator
  • 🛰️ Versions
    • WRS-2 — Landsat 4–9 (16-day cycle, current)
    • WRS-1 — Landsat 1–3 (251 paths, 18-day cycle, retired)

Landsat 1–3 orbit — altitude + revisit?

maybe landsat
  • 🛰️ Altitude: 919 km
  • 🧭 Inclination: ~99°, sun-synchronous
  • ⏱️ Period: 103 min → 14 orbits/day
  • 🔁 Revisit: 18 days

⚠️ Orbit was lowered to 705 km at Landsat 4 for better spatial resolution. That’s why later Landsats have 16-day revisit instead of 18.

Landsat 7 ETM+ — what it added vs. TM?

maybe landsat

Two upgrades over the older TM:

  • 🩶 New panchromatic band — 0.52–0.90 µm at 15 m
    • Enables pan-sharpening (fuse 30 m MS with 15 m pan → 15 m color)
  • 🔥 Thermal improved — 120 m → 60 m
  • Other VSWIR bands unchanged at 30 m

Landsat MSS band numbering — why does it differ across satellites?

maybe landsat

MSS flew on Landsat 1/2 and Landsat 4/5 — but the bands got renumbered. Same wavelengths, new numbers:

  • 🟩 Green (0.5–0.6 µm) — L1/2: B4 → L4/5: B1
  • 🟥 Red (0.6–0.7 µm) — L1/2: B5 → L4/5: B2
  • 🟪 NIR-1 (0.7–0.8 µm) — L1/2: B6 → L4/5: B3
  • 🟪 NIR-2 (0.8–1.1 µm) — L1/2: B7 → L4/5: B4

⚠️ MSS has no blue band — visible spectrum starts at green. That’s why MSS imagery can’t be made into natural-color composites.

Radiometric resolution bit depths?

maybe landsat

More bits → finer tonal detail in shadows + highlights.

  • 🎚️ 8-bit — 0–255 (256 levels) — Landsat MSS/TM/ETM+, SPOT
  • 🎚️ 10-bit — 0–1 023
  • 🎚️ 11-bit — 0–2 047 — IKONOS
  • 🎚️ 12-bit — 0–4 095 — Landsat 8 OLI
  • 🎚️ 14-bit — 0–16 383 — Landsat 9 OLI-2

The three types of optical remote sensing?

essential sensors
  • 📊 Multispectral — a few broad discrete bands
    • Examples: Landsat OLI, SPOT HRV, IKONOS, MODIS
    • Typical: 4–10 bands across visible + NIR + SWIR
  • 🔥 Thermal — one or more bands in 3–14 µm IR
    • Examples: Landsat TIRS, ASTER thermal
    • Detects emitted heat (works day and night)
  • 🌈 Hyperspectral — hundreds of narrow contiguous bands
    • Examples: Hyperion (220 bands), AVIRIS
    • Identifies specific minerals, plant species, pollutants
💡

Multi = few (tens), Hyper = many (hundreds), Thermal = heat only. 'Hyper' literally means MORE — that's the clue.

Across-track vs along-track scanners — examples?

essential sensors

Two scanning geometries used by multispectral sensors:

  • 🔄 Across-track (whiskbroom)
    • How: discrete detectors + scanning mirror sweeps perpendicular to flight
    • Examples: Landsat MSS, TM, ETM+
    • Drawback: moving mirror = mechanical wear
  • ➡️ Along-track (pushbroom)
    • How: linear array of detectors — no moving parts
    • Examples: SPOT HRV, IRS LISS, IKONOS, QuickBird, Landsat 8/9 OLI
    • Wins on: longer dwell time → better SNR, more reliable
💡

Whiskbroom WIGGLES a mirror (Landsat 1–7). Pushbroom PUSHES a linear array straight ahead (SPOT, IKONOS, Landsat 8/9 OLI). No wiggle, no breaking part.

IKONOS — altitude, bands, radiometric resolution?

essential sensors
  • 🛰️ Orbit
    • Altitude: 681 km
    • Sun-synchronous, 10:30 AM equator crossing
  • 📷 Bands
    • 🩶 Panchromatic (0.45–0.90 µm) → 1 m detail
    • 🟦🟩🟥🟪 Multispectral 4 bands (Blue/Green/Red/NIR) → 4 m detail
    • Pan-sharpening fuses them → effective 1 m color
  • 🎚️ Radiometric: 11-bit → 2 048 grey levels
  • 🎯 Off-nadir pointing: up to ±45° (along + across track)
  • 🏆 Heritage: first U.S. commercial sub-meter satellite (1999–2015)
💡

IKONOS = 1 meter pan, 4 meter MS, 11-bit, at 681 km. Sub-meter commercial pioneer. Tilts ±45° (more than SPOT's ±27°).

SPOT 1–3 — altitude, bands, orbit?

essential sensors
  • 🛰️ Orbit
    • Altitude: 832 km
    • Sun-synchronous, 10:30 AM equator crossing
  • ⏱️ Revisit
    • Nadir: 26 days
    • With off-nadir tilt (±27°): 1–4 days at mid-latitudes
  • 📷 Bandsno blue!
    • 🩶 Panchromatic (0.51–0.73 µm) — 10 m
    • 🟩 XS1 — Green (0.50–0.59 µm) — 20 m
    • 🟥 XS2 — Red (0.61–0.68 µm) — 20 m
    • 🟪 XS3 — NIR (0.79–0.89 µm) — 20 m

⚠️ No blue band on SPOT 1–3 → can’t make natural-color composites.

💡

SPOT 1-3: 832 km (higher than IKONOS 681), 10 m pan / 20 m MS, no blue (Green-Red-NIR only). Off-nadir ±27°. French (CNES).

Hyperion (on EO-1) — specs?

likely sensors
  • 🛰️ Platform: EO-1 satellite
  • 🌈 Bands: 220 (hyperspectral), covering 0.4 – 2.5 µm
  • 🎯 Spatial resolution: 30 m
  • 📐 Orbit altitude: 705 km
  • 🔬 Use: mineral ID, species mapping, pollutant detection via spectral matching

⚠️ The hallmark of hyperspectral: hundreds of narrow contiguous bands (vs. multispectral’s handful of broad bands).

Pushbroom over whiskbroom — four advantages + one disadvantage?

likely sensors

✅ Advantages - ⚙️ No moving mirror → more reliable, longer mission life - ⏱️ Longer dwell time per pixel → better signal-to-noise - 📦 CCDs are smaller, lighter, lower power than scanning optics - 🎯 More accurate radiometry per detector

❌ Disadvantage - 🎚️ Calibrating thousands of detectors uniformly is hard — each CCD has slightly different gain/offset

What does a sun-synchronous orbit guarantee?

likely sensors

A near-polar orbit tuned so the orbital plane precesses at Earth’s orbital rate around the Sun.

  • 🛰️ Result: satellite crosses the equator at the same local solar time every day (typically 9:30 – 10:00 AM)
  • 🌅 Why it matters: consistent sun angle → comparable imagery across dates
  • 📷 Used by: Landsat, SPOT, IKONOS, Sentinel-2 — basically every Earth-observing land sensor

SPOT HRV off-nadir capabilities?

likely sensors
  • 🪞 Steerable mirror tilts up to ±27° from vertical
  • 📐 Stereoscopic imagery — two views from different angles → parallax → 3D / DEMs
  • ⏱️ Revisit boost — 26-day nadir cycle → 1–5 days at mid-latitudes
  • 🌍 Swath access — can image ~900 km on either side of the ground track

IKONOS does the same but with a wider tilt range (±45°).

SPOT 1–3 MS bands?

maybe sensors

All multispectral bands at 20 m:

  • 🟩 XS1 — Green, 0.50–0.59 µm
  • 🟥 XS2 — Red, 0.61–0.68 µm
  • 🟪 XS3 — NIR, 0.79–0.89 µm

Also: 🩶 Pan 0.51–0.73 µm at 10 m.

⚠️ No blue band on SPOT 1–3 → no natural-color composites.

WGS 84 — key facts?

maybe sensors
  • World Geodetic System 1984 — global coordinate/datum standard.
  • Reference surface: spheroidal ellipsoid.
  • Origin: Earth’s center of mass, accurate to ~2 cm.
  • Used by GPS/GNSS and nearly all modern RS products.

WGS 84 — coordinate origin accuracy?

probably not sensors

Coordinate origin (Earth’s center of mass) is defined to within about 2 cm.

IKONOS successors — the current sub-meter commercial satellites?

probably not sensors
  • WorldView-1/2/3/4 (Maxar)
  • GeoEye-1 (same operator)
  • Pleiades 1A/1B (Airbus)
  • SkySat (Planet) — 0.5 m, daily revisits

All inherit IKONOS’s tasked sub-meter commercial model.

SPOT launches + retirements?

probably not history

French/European Earth-observation series, run by CNES.

  • Still active
    • SPOT 6 — launched Sep 2012
    • SPOT 7 — launched Sep 2014 (now operates as Azersky)
  • 🪦 Retired
    • SPOT 1 — Feb 1986 → 1990
    • SPOT 2 — Jan 1990 → Jul 2009 (19-year run!)
    • SPOT 3 — Sep 1993 → Nov 1996 (failure)
    • SPOT 4 — Mar 1998 → Jun 2013
    • SPOT 5 — May 2002 → Mar 2015

⚠️ SPOT 1–3 have no blue band — important quirk on the older satellites.

What happened to Landsat 6?

probably not history

Launch failure in 1993. Failed to reach orbit due to a propellant leak. First gap in Landsat continuity.

First IKONOS image — where and when?

probably not history

Washington, D.C., late 1999 (shortly after the Sept 24, 1999 launch). A landmark — sub-meter civilian imagery had been restricted to defense until then.

IKONOS — six product levels?

probably not history
  1. Geo
  2. Standard Ortho
  3. Reference
  4. Pro
  5. Precision
  6. PrecisionPlus

Sold by square kilometer.

First vegetation index — history?

probably not history

Simple Ratio (SR) = NIR / Red. Originally used by Jordan (1969); Cohen (1991) called it the first true vegetation index. NDVI (Rouse 1974) fixed SR’s unbounded range.

Anderson LULC classification — year?

probably not history
  • 📅 Year: 1976
  • 📋 Use: the standard hierarchical land-use / land-cover scheme for RS data
  • 🌐 Structure
    • Level I — 9 classes
    • Level II — 37 subclasses

Bayesian decision rule — citation?

probably not history

Hord (1982). The Bayesian variant of Max Likelihood lets you enter prior probabilities instead of assuming equal priors for all classes.

Rouse et al. (1974) NDVI — what data was it developed on?

probably not history

AVHRR imagery of the US Great Plains. The normalized-difference form kept values bounded (unlike SR) and reduced illumination variability — became the canonical VI.

NDVI — formula and range?

essential veg

Plants pull a sneaky trick with light: chlorophyll drinks red light for photosynthesis but bounces back invisible near-infrared. NDVI just compares the two bands — the bigger the gap, the healthier the vegetation. Numbers land between −1 (water / shadow) and +1 (lush rainforest). The middle is bare ground.

It’s basically a ‘how green is this place’ score that NASA, USDA, and every satellite ag company uses every day.

🔬 Science / formula

NDVI = (NIR − Red) / (NIR + Red). Range −1 to +1. Rouse et al. (1974).

  • Well-vegetated: high (0.6–0.8)
  • Bare rock/sand/snow: ≤ 0.1
  • Water: negative
💡

NDVI = Normalized to −1..+1. Unlike SR which has no upper bound, and unlike EVI which adds the Blue band.

Simple Ratio (SR) — formula and who’s credited?

essential veg

The first vegetation index. Divide NIR by Red — see how much more NIR came back. A jungle gives you 30+, a parking lot gives you 1. Simple but the number has no upper limit, so you can’t easily compare scenes against each other.

That’s why NDVI replaced it for most modern work — same idea, but locked between −1 and +1.

🔬 Science / formula

SR = NIR / Red. Cohen (1991) identified it as the first true vegetation index. On Landsat TM: Band 4 / Band 3.

💡

Simple Ratio = Simple division. No subtraction, no normalization — just NIR/Red. Unbounded. Cohen 1991 (not Rouse, that's NDVI).

EVI — formula and coefficients?

essential veg

Think of EVI as NDVI’s smarter cousin. It does two extra tricks:

  • Uses the blue band to subtract atmospheric haze that fools NDVI on smoggy days.
  • Adds a soil-adjustment factor so dry dirt doesn’t artificially inflate the score.

Use EVI when NDVI flatlines — i.e., over thick rainforest canopy where every leaf already maxes NDVI out. EVI keeps climbing where NDVI gets stuck.

🔬 Science / formula

EVI = [(NIR − Red) / (NIR + C₁·Red − C₂·Blue + L)] · (1 + L)

C₁ = 6.0, C₂ = 7.5, L = 1.0 (MODIS standard). Corrects NDVI for atmosphere (blue band) and soil (L).

💡

EVI = Enhanced with the Blue band. Coefficients 6-7-1 (six-seven-one). Doesn't saturate in dense canopy like NDVI does.

Spectral signature of healthy vegetation?

essential veg
  • Low red reflectance — chlorophyll absorbs red for photosynthesis.
  • High NIR reflectance — scattered by spongy mesophyll leaf structure.

That contrast is why NDVI, SR, and EVI all work.

💡

Leaves DRINK red (chlorophyll eats it), BOUNCE NIR. That 'red dip, NIR jump' is THE vegetation fingerprint.

NDVI typical value ranges by land cover?

likely veg
  • 🪨 ≤ 0.1 — barren rock, sand, snow
  • 🌾 0.2 – 0.3 — shrubland, grassland
  • 🌳 0.6 – 0.8 — temperate / tropical rainforest
  • 💧 Negative — water, shadow

Phenology — definition and why it matters for RS?

likely veg

Phenology — periodic biological phenomena tied to annual climate (🌱 planting → 🌿 greening → 🌾 senescence → 🚜 harvest).

Why it matters for remote sensing: - 📅 Imaging date changes what you see - 🌾 Peak biomass maximizes vegetation / soil contrast - 📊 Multi-date NDVI series separates crops that overlap when green

NDVI of AVHRR imagery — what does it show?

maybe veg

Continental US NDVI through the seasons (Jan → Dec):

  • 🌴 Coasts + South stay green year-round
  • 🌽 Midwest pulses with the growing season
  • 📊 Used for: drought monitoring, crop stress, continental phenology

🛰️ AVHRR on NOAA polar orbiters, ~1 km resolution.

Why does EVI need blue, C1, C2, and L?

maybe veg
  • Blue band via C₁, C₂ — corrects for atmospheric aerosol scattering.
  • L term — soil-adjustment factor; damps bare-soil brightness.
  • (1 + L) multiplier — rescales output after soil correction.

Result: EVI doesn’t saturate in high-biomass canopies the way NDVI does.

Beyond standard VIs — two linear transforms?

maybe veg
  • PCA (Principal Component Analysis) — decorrelates bands into components ordered by variance. PC1 usually captures brightness.
  • K-T (Kauth-Thomas) Tasseled Cap — fixed linear transform for Landsat. Produces interpretable axes: Brightness, Greenness, Wetness.

Supervised vs. unsupervised classification — key differences?

essential classification

Two camps of pixel classification:

  • 👨‍🏫 Supervised — needs a teacher
    • Algorithm: Maximum Likelihood (most common)
    • A priori knowledge: required — you give it training samples
    • Control: user-driven — you set the class scheme
    • Strength: more accurate when training is good
  • 🤖 Unsupervised — clusters on its own
    • Algorithm: ISODATA (or K-means)
    • A priori knowledge: not required — no training
    • Control: computer-automated — it finds the groupings
    • Strength: reveals natural groupings, fast first pass

After unsupervised you still label the clusters by hand — that’s where Recode comes in.

💡

Supervised needs a TEACHER (training samples). Unsupervised is CLUSTERING — the computer invents the classes, you label afterward.

ISODATA — three parameters the user must set?

essential classification
  • N — max number of clusters (= max classes).
  • T — convergence threshold: % of pixels unchanged between iterations to declare convergence.
  • M — max iterations (safety cap).
💡

N-T-M: Number (clusters), Threshold (convergence %), Max-iterations. Terminates on whichever hits first: T reached or M hit.

Maximum Likelihood classifier — how it works and its main assumption?

essential classification

Picture each land-cover class (forest, water, city) as a fuzzy cloud floating in spectral space. Max Likelihood asks the question:

“Which cloud is this pixel most likely sitting inside?”

Crucially, it considers each cloud’s shape (covariance), not just its center. Min Distance only looks at the center — it’s like deciding which city you’re closest to without checking which one’s borders you’re inside.

That’s why ML usually wins on accuracy: it understands a tightly-grouped class is more confident, while a wide loose class lets in more variety.

🔬 Science / formula

For each pixel, compute the probability it belongs to each class. Assign to the most likely class.

  • Key assumption: each class is multivariate Gaussian (each band normally distributed inside the class).
  • Uses the class mean AND covariance matrix — that’s how it accounts for class shape, not just position.
  • Strength: most accurate of the four decision rules when classes are well-sampled and bands are roughly normal.
  • Weakness: needs enough training samples to estimate covariance; fails on non-Gaussian classes.
  • Bayesian variant (Hord 1982): supply per-class prior probabilities instead of assuming equal priors.
💡

ML uses **mean + covariance**, not just the mean. Min Distance ignores shape (just the mean). Mahalanobis adds shape. Max Likelihood adds priors on top. The full discriminant formula lives in the long-form review — the *concept* lives here.

Supervised classification — three-step procedure?

essential classification
  1. Select training samples — homogeneous AOIs per class.
  2. Generate & evaluate statistical signatures — mean, std, covariance per band.
  3. Class assignment via a decision rule (Min Distance, Max Likelihood, etc.).
💡

Train → Stats → Classify. You TEACH the computer with samples, it LEARNS signatures (mean + covariance), then APPLIES a decision rule to every pixel.

Four common decision rules for supervised classification?

likely classification

The four ways the computer assigns a pixel to a class, ranked by sophistication:

  • 📦 Parallelepiped
    • How: box-shaped regions defined by each class’s min/max in every band
    • Pro: simple, fast first pass
    • Con: leaves gaps + has corner overlap problems
  • 📏 Minimum Distance
    • How: assign to whichever class mean is closest (Euclidean)
    • Pro: no unclassified pixels, very fast
    • Con: ignores class shape, force-fits outliers
  • 📐 Mahalanobis Distance
    • How: Min Distance scaled by each class’s covariance
    • Pro: accounts for class shape (ellipsoidal)
    • Con: still assumes equal priors
  • 🎯 Maximum Likelihood
    • How: pick the most probable class, assuming Gaussian distributions
    • Pro: most accurate when classes are well-sampled
    • Con: needs lots of training data, fails on non-Gaussian classes

Minimum Distance classifier — advantages and disadvantages?

likely classification

✅ Advantages - ⚡ No unclassified pixels (every pixel has some nearest mean) - 🚀 Very fast decision rule

❌ Disadvantages - 🎯 Force-fits outlier pixels that should be flagged unclassified - 📐 Ignores class variability — treats tight clusters and loose clusters equally

💡

Min Distance: everyone gets a class (no gaps) but weird pixels get force-fit. Ignores shape. Opposite of Parallelepiped (which leaves gaps).

Parallelepiped classifier — advantages and disadvantages?

likely classification

✅ Advantages - ⚡ Very simple, very fast - 🎯 Good first-pass broad classification

❌ Disadvantages - 🕳️ Gap regions — pixels outside all boxes stay unclassified - ↗️ Corner overlaps — pixels in two boxes get assigned ambiguously

💡

Boxes. Pixel in a box → class. Pixel in NO box → unclassified (gap). Pixel in 2+ boxes (corner overlap) → wrong class. Fast but sloppy.

Anderson (1976) LULC — nine Level I classes?

likely classification
  • 🏙️ 1 — Urban / Built-up
  • 🌾 2 — Agricultural
  • 🌿 3 — Rangeland
  • 🌲 4 — Forest
  • 💧 5 — Water
  • 🪷 6 — Wetland
  • 🪨 7 — Barren Land
  • ❄️ 8 — Tundra
  • 🧊 9 — Perennial Snow / Ice

📚 Level II adds 37 subclasses total — used as the standard hierarchical scheme for RS data.

Covariance between two bands — formula?

maybe classification
\[C_{QR} = \frac{\sum_{i=1}^{k}(Q_i - \bar Q)(R_i - \bar R)}{k - 1}\]

Measures how Band Q and Band R vary together around their means. The full covariance matrix is what Max Likelihood and Mahalanobis use.

ISODATA convergence threshold T — worked example (10 pixels, 3 changed)?

maybe classification
  • changed = 3

  • unchanged = 7

  • T = unchanged ÷ total = 7/10 = 70%

If user set T = 95%, 70% is not enough → run another iteration.

METAR field order?

likely weather

Example: KDKB 151235Z AUTO 01011KT 10SM OVC110 02/M01 A3013 RMK AO2

  1. 🏷️ Station ID — KDKB
  2. 📅 Day + time Zulu — 151235Z (15th day, 12:35 UTC)
  3. 🤖 Modifier — AUTO (automated)
  4. 💨 Wind — 01011KT (from 010° true at 11 kt)
  5. 👁️ Visibility — 10SM (statute miles)
  6. ☁️ Weather / sky — OVC110 (overcast 11 000 AGL)
  7. 🌡️ Temp / dewpoint — 02/M01 (+2 °C / −1 °C)
  8. 📊 Altimeter — A3013 (30.13 inHg)
  9. 💬 Remarks — RMK AO2

Cloud base estimate from temp/dewpoint spread?

likely weather

📐 Rule of thumb: cloud base (ft AGL) ≈ (T − Td) °C × 400

  • 🌡️ Worked example: temp 5 °C, dewpoint 2 °C → spread 3 °C → cloud base ≈ 1 200 ft AGL
  • 🛸 Part 107 needs 500 ft clearance below clouds. If cloud base < 900 ft AGL at your flight spot, you cannot fly.

METAR gives you T/Td as 02/M01 (M = minus). Compute the spread, multiply by 400.

Convective SIGMET — what is it and when is it issued?

maybe weather

Significant Meteorological advisory for aviation: - Severe thunderstorms / lines of thunderstorms / embedded storms - Hail ≥ ¾ inch, tornadoes - Issued by Aviation Weather Center, CONUS - Valid ~2 hours

If active in your area — do not fly.

Part 107 weather minimums?

essential part107
  • Visibility: 3 statute miles.
  • Cloud clearance: 500 ft below + 2 000 ft horizontal from clouds.
  • Daylight only (civil twilight with waiver).
💡

3-5-2: three statute miles visibility, five hundred feet below clouds, two thousand feet horizontal.

Part 107 maximum altitude for sUAS?

essential part107

400 ft AGL above ground, or within 400 ft of a structure (above the structure’s height).

Max ground speed: 100 mph.

💡

Four hundred and no more — unless you're inspecting a tall structure, then stay within 400 ft of it.

LAANC — what is it?

maybe part107

Low Altitude Authorization and Notification Capability — FAA’s automated system for sUAS operators to get near-real-time authorization to fly in controlled airspace (B/C/D/E-surface).

Accessed via FAA-approved apps like Aloft and Airmap.

Class A airspace — altitude?

essential airspace

FL 180 – FL 600 MSL (18 000 ft to 60 000 ft MSL). IFR only. Not a drone concern — sUAS capped at 400 ft AGL.

💡

A = Airliners. Above FL180. Never a drone's problem.

Class B airspace — altitudes, sectional marking, drone rule?

essential airspace

B = Big, Busy, Blue.

  • 📐 Altitudes
    • Floor: surface (SFC)
    • Ceiling: typically 10 000 ft MSL
  • 🎨 Sectional marking: 🟦 solid blue lines
  • 🏛️ Shape: inverted wedding cake — tiers expand upward and outward
  • 🛸 sUAS rule: ATC authorization required (via LAANC)
  • 🏙️ Found at: the busiest US airports — JFK, ORD, ATL, LAX, BOS, SFO
💡

B = Big, Busy, Blue. Solid Blue lines. Wedding-cake tiers to 10 000 MSL.

Class C airspace — altitudes, sectional marking, drone rule?

essential airspace
  • 📐 Altitudes
    • Floor: surface (in core)
    • Ceiling: typically 4 000 ft AGL
  • 🎨 Sectional marking: 🟪 solid magenta lines
  • 🏛️ Shape: two-ring layer cake
    • Inner ring: 5 NM radius, SFC – 4 000 AGL
    • Outer shelf: 10 NM radius, 1 200 AGL – 4 000 AGL
  • 🛸 sUAS rule: ATC authorization required
  • 🏛️ Found at: Syracuse, Cleveland, Albany — mid-size towered airports
💡

C = Solid magenta (think 'Cs = solid'). 4000 AGL ceiling. Rings 5/10 NM.

Class D airspace — altitudes, sectional marking?

essential airspace

D = Dashed blue Donut.

  • 📐 Altitudes
    • Floor: surface
    • Ceiling: typically 2 500 ft AGL
  • 🎨 Sectional marking: 🟦 dashed blue lines
  • 🏛️ Shape: single cylinder, ~4–5 NM radius
  • 🛸 sUAS rule: ATC authorization required (via LAANC)
  • 🏛️ Found at: small towered airports
💡

D = Dashed blue Donut. Small 4-5 NM cylinder, 2500 AGL.

Class E airspace — three common variants and their sectional markings?

essential airspace

E = Everywhere-else controlled. Three flavors:

  • 🟪 Surface-designated (dashed magenta line)
    • Floor: surface
    • Around airports without towers
    • sUAS rule: authorization required
  • 🟪 700 AGL floor (shaded magenta)
    • Floor: 700 ft AGL
    • Drones under 400 AGL stay below E → no authorization needed
  • 🟦 1 200 AGL floor (shaded blue)
    • Floor: 1 200 ft AGL
    • “Default” controlled airspace away from airports
    • No authorization needed for sUAS

⚠️ Only the surface-designated version requires LAANC.

💡

E = Everywhere-else controlled. Dashed magenta = surface E (authorization). Shaded magenta = 700 AGL floor. Shaded blue = 1200 AGL floor.

MSL vs AGL — definitions and sectional chart rule?

essential airspace
  • AGL — Above Ground Level (height above terrain).
  • MSL — Mean Sea Level (absolute elevation).
  • On sectional charts: all altitudes MSL unless in parentheses(12) means 1 200 ft AGL.
  • Add 00 to the printed number.
💡

Parens = AGL. No parens = MSL. Always add 00. So 70/30 = 7000/3000 MSL; (12) = 1200 AGL.

GOES satellites — orbit and primary instrument?

likely airspace
  • 🛰️ Orbit: geostationary
    • Altitude ~36 000 km (22 236 mi) above the equator
    • Orbital period matches Earth’s rotation → appears stationary over one hemisphere
  • 📷 Primary instrument: ABI (Advanced Baseline Imager)
    • 16 bands (2 visible, 4 near-IR, 10 IR)
    • Full-disk scan every 10 min, CONUS every 5 min
  • 🌪️ Used for: weather, hurricanes, wildfires, fog, severe storms

⚠️ Don’t confuse with Landsat (705 km, polar). Geostationary = 0° inclination, very high altitude.

💡

GOES parks over the equator at ~36 000 km. Don't confuse with Landsat (705 km, polar). Geostationary = zero inclination, matches Earth's rotation.

CTAF, ATIS, AWOS, ASOS — what are they?

maybe airspace
  • 📻 CTAF — Common Traffic Advisory Frequency
    • Pilots self-announce at uncontrolled fields
  • 📻 ATIS — Automatic Terminal Information Service
    • Recorded weather + ops broadcast at towered airports
  • 🌡️ AWOS — Automated Weather Observing System
    • Continuous automated weather, FAA-operated
  • 🌡️ ASOS — Automated Surface Observing System
    • Continuous automated weather, NWS-operated (more sensors)