Photogrammetry

Graduate Depth 114 in the knowledge graph I know this Set as goal
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

Counting to 10Counting to 20Understanding ZeroThe Number ZeroCounting to FiveOne-to-One CorrespondenceCombining Small Groups Within 5Addition Within 10Addition Within 20Two-Digit Addition Without RegroupingTwo-Digit Addition with RegroupingAddition Within 100Repeated Addition as MultiplicationMultiplication Facts Within 100Division as Equal SharingDivision as Grouping (Measurement Division)Division: Grouping (Repeated Subtraction) ModelDivision: Fair Sharing ModelDivision as Equal SharingDivision as GroupingBasic Division FactsDivision Facts Within 100Two-Digit by One-Digit DivisionDivision with RemaindersRemainders and Quotients in DivisionDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueReading and Writing DecimalsComparing and Ordering DecimalsAdding and Subtracting DecimalsMultiplying DecimalsDividing DecimalsDividing FractionsMixed Number ArithmeticOrder of OperationsInteger Order of OperationsVariable ExpressionsCombining Like TermsOne-Step EquationsTwo-Step EquationsSolving Multi-Step EquationsEquations with Variables on Both SidesAngle Pairs: Complementary, Supplementary, and VerticalParallel Lines and TransversalsCorresponding AnglesAlternate Interior AnglesTriangle Angle Sum TheoremExterior Angle TheoremTriangle Inequality TheoremSimilar Triangles: AA SimilaritySimilar Triangles: SSS and SAS SimilarityProportions in Similar TrianglesRight Triangle Trigonometry IntroductionTrigonometric Ratios ReviewRadian MeasureConverting Between Degrees and RadiansThe Unit CircleGraphing Sine and CosineGraphing Tangent and Reciprocal Trigonometric FunctionsDerivatives of Trigonometric FunctionsAntiderivativesIterated Integrals and Fubini's TheoremDouble Integrals in Cartesian CoordinatesDouble Integrals over Rectangular RegionsDouble Integrals in Polar CoordinatesDouble Integrals: Definition and SetupIterated Integrals and Fubini's TheoremDouble Integrals over Rectangular RegionsDouble Integrals over General RegionsApplications of Double Integrals: Area, Mass, and MomentsTriple Integrals in Cartesian CoordinatesTriple Integrals in Cylindrical and Spherical CoordinatesChange of Variables and the Jacobian DeterminantApplications of Triple Integrals: Volume and MassVector Fields and Their RepresentationsLine Integrals of Vector FieldsGreen's TheoremSurface Integrals and Flux of Vector FieldsSurface Integrals and Flux of Vector FieldsDivergence Theorem: Flux and OutflowDivergence TheoremElectric FluxGauss's LawConductors in Electrostatic EquilibriumCapacitance and CapacitorsDielectricsDielectric Constant and Relative PermittivityElectric Field Inside Dielectric MaterialsDielectric Materials and PolarizationDielectric Susceptibility and PermittivityEnergy Density in Electric FieldsElectric Current and Current DensityElectrical Resistance and ResistivityOhm's Law and Circuit ElementsElectromotive Force (EMF) and BatteriesKirchhoff's Circuit Laws: Voltage and CurrentDC Circuit Network Analysis MethodsTransient Response in RC CircuitsRC CircuitsLC and RLC CircuitsAC Circuits: FundamentalsImpedance and ReactanceAC Power and ResonanceElectromagnetic WavesThe Electromagnetic SpectrumElectromagnetic Spectrum for Remote SensingPassive vs Active Remote SensorsRadar Remote Sensing and SARDigital Elevation ModelsPhotogrammetry

Longest path: 115 steps · 651 total prerequisite topics

Prerequisites (2)

Leads To (0)

No topics depend on this one yet.