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Photogrammetry

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Optical Remote SensingDigital Elevation Models→
photogrammetry stereo-imagery structure-from-motion 3d-reconstruction

Core Idea

Photogrammetry extracts three-dimensional measurements from two-dimensional photographs by exploiting parallax -- the apparent shift of objects when viewed from different positions. When the same scene is captured from two or more viewpoints with known geometry, corresponding points in the overlapping images can be matched and their 3D coordinates computed through triangulation. Traditional photogrammetry uses precisely calibrated aerial cameras with controlled flight geometry, while modern Structure-from-Motion (SfM) photogrammetry works with unordered photographs from consumer cameras or drones, automatically solving for camera positions and scene geometry simultaneously.

Explainer

Photogrammetry is one of the oldest remote sensing techniques -- aerial photographs have been used for mapping since World War I. The fundamental principle is stereoscopic measurement: viewing the same scene from two different positions provides depth perception through parallax, just as human binocular vision does.

Traditional aerial photogrammetry uses precisely calibrated metric cameras mounted on aircraft flying systematic parallel flight lines with 60% forward overlap and 30% side overlap. Stereo pairs of photographs are processed in stereoplotters (originally optical instruments, now digital software) that allow operators to view the terrain in 3D and trace contours, buildings, and features. This remains the standard production method for topographic mapping and orthophoto production at national mapping agencies.

Structure-from-Motion (SfM) photogrammetry has democratized 3D measurement. SfM algorithms automatically detect and match distinctive features (keypoints) across large sets of unordered photographs, then simultaneously solve for all camera positions and a sparse 3D point cloud through bundle adjustment -- a least-squares optimization that minimizes reprojection errors across all images and points. Multi-view stereo (MVS) algorithms then densify the sparse cloud to produce millions of 3D points. The result -- a dense point cloud, mesh, orthomosaic, and DEM -- is similar to LiDAR output but derived entirely from photographs.

The combination of consumer drones and SfM software has made centimeter-resolution 3D mapping accessible for applications that previously required expensive LiDAR or aerial photography campaigns: construction monitoring, precision agriculture, archaeological documentation, mine volume calculation, and disaster damage assessment. The trade-off is that photogrammetry maps only visible surfaces and requires good lighting and texture, while LiDAR works through vegetation and in darkness.

Practice Questions 3 questions

Prerequisite Chain

Understanding Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Number Bonds to 10 → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts (0s, 1s, 2s, 5s, 10s) → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Absolute Value → Adding Integers → Subtracting Integers → Multiplying Integers → Dividing Integers → Unit Rates → Proportions → Percent Concept → Converting Between Fractions, Decimals, and Percents → Operations with Rational Numbers → Two-Step Equations → Solving Multi-Step Equations → Equations with Variables on Both Sides → Angle Pairs: Complementary, Supplementary, and Vertical → Parallel Lines and Transversals → Corresponding Angles → Alternate Interior Angles → Triangle Angle Sum Theorem → Exterior Angle Theorem → Triangle Inequality Theorem → Similar Triangles: AA Similarity → Similar Triangles: SSS and SAS Similarity → Proportions in Similar Triangles → Right Triangle Trigonometry Introduction → Sine, Cosine, and Tangent Ratios → Trigonometric Ratios Review → Radian Measure → Converting Between Degrees and Radians → The Unit Circle → Graphing Sine and Cosine → Graphing Tangent and Reciprocal Trigonometric Functions → Derivatives of Trigonometric Functions → Antiderivatives → Indefinite Integrals → Basic Integration Rules → Riemann Sums → Definite Integral Definition → Double Integrals: Definition and Setup → Iterated Integrals and Fubini's Theorem → Double Integrals over Rectangular Regions → Double Integrals over General Regions → Applications of Double Integrals: Area, Mass, and Moments → Triple Integrals in Cartesian Coordinates → Triple Integrals in Cylindrical and Spherical Coordinates → Change of Variables and the Jacobian Determinant → Applications of Triple Integrals: Volume and Mass → Vector Fields and Their Representations → Line Integrals of Vector Fields → Work and Circulation → Line Integrals of Scalar and Vector Functions → Fundamental Theorem for Line Integrals → Conservative Vector Fields → Conservative Vector Fields and Potential Functions → Curl and Divergence of Vector Fields → Curl and Divergence → Divergence Theorem → Electric Flux and Divergence Theorem → Gauss's Law: Integral Form and Meaning → Solving Problems with Gauss's Law → Conductors in Electrostatic Equilibrium → Capacitance and Capacitors → Dielectrics → Dielectric Constant and Relative Permittivity → Electric Field Inside Dielectric Materials → Dielectric Materials and Polarization → Dielectric Susceptibility and Permittivity → Energy Density in Electric Fields → Electric Current and Current Density → Electrical Resistance and Resistivity → Ohm's Law and Circuit Elements → Electromotive Force (EMF) and Batteries → Kirchhoff's Circuit Laws: Voltage and Current → DC Circuit Network Analysis Methods → Transient Response in RC Circuits → RC Circuits → LC and RLC Circuits → AC Circuits: Fundamentals → Impedance and Reactance → AC Power and Resonance → Electromagnetic Waves → The Electromagnetic Spectrum → Electromagnetic Spectrum for Remote Sensing → Passive vs Active Remote Sensors → Satellite Orbits for Remote Sensing → Radar Remote Sensing and SAR → Digital Elevation Models → Photogrammetry

Longest path: 135 steps · 856 total prerequisite topics

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