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How the volume is calculated
In photogrammetry, software matches features across overlapping photographs to
reconstruct three-dimensional points. Those points support a surface model. For
volumetrics, the operator also defines the pile's perimeter, often called its
toe, and a base beneath it. PIX4D documents the relationship between image
matching and reconstruction in its
image acquisition guidance.
For a gridded calculation, each cell contributes its horizontal area multiplied
by the difference between the top and base elevations. Summing those
contributions gives the volume.
PIX4Dmapper's calculation documentation
describes this method using a digital surface model, or DSM. Other applications
may use different surface representations, so record the actual method.
Volume ≈ sum of [cell area × (top elevation − base elevation)].
With area in square metres and height in metres, the result is cubic metres.
Keep the sign convention explicit: material above the base is commonly reported
as cut, while areas below it contribute fill. A net result can conceal those
separate contributions. For a stockpile, unexpected fill is a reason to inspect
the boundary and base before accepting the total.
Volume is also distinct from mass. Mass = volume × bulk density, using
consistent units. Propeller's
stockpile documentation
treats material properties as additional inputs to the measurement. If the
required output is tonnes, ask who supplies the density, how it was established,
and which material condition it represents. A drone image does not supply that
missing input.
Why the buried base matters
An overhead image sees exposed material. It does not reveal the ground
underneath a solid pile. Software must use a surveyed base, a known elevation,
or an inferred surface. These choices can produce different totals from exactly
the same top surface.
The following table translates
PIX4D's base-surface guidance
into questions for the operator. The checks are editorial recommendations, not
guaranteed accuracy classes.
Scroll horizontally to compare all columns.
A visible toe constrains the edge. It does not prove there is no depression or
raised ground under the centre. Where that difference matters, arrange an
empty-pad survey before loading or when the pad is next cleared. Preserve its
version so future measurements use an identifiable reference.
Consider an illustrative pile covering 2,000 m², with a reference volume of
8,000 m³. Suppose the adopted base is uniformly 0.10 m too low, while the top
surface and footprint are otherwise correct.
Volume overstatement = footprint area × base-height error = 2,000 m² × 0.10 m =
200 m³.
Relative overstatement = 200 m³ ÷ 8,000 m³ × 100 = 2.5%.
These are hypothetical inputs, calculated September 7, 2026, with no rounding
needed. They illustrate the surface-difference formula; they are not a measured
drone result or an expected error rate. A nonuniform base error requires summing
the differences across the footprint. The practical consequence is
straightforward: improving the photographs cannot correct a wrongly specified
buried surface.
Begin with the output the site needs: one pile's current volume, a material
inventory, or change between dates. Agree the reporting units, pile identifiers,
measurement time, and how discrepancies will be handled. If loaders are adding
or removing material during collection, the customer and operator need an agreed
pause or a documented accounting boundary for those movements.
Establish the survey reference. Record the horizontal coordinate system,
height reference, units, and base-surface source. Ground control points
constrain the reconstruction; checkpoint coordinates are reserved for assessing
its accuracy. PIX4D explains these distinct roles in its
tie-point documentation.
If aircraft positions use real-time kinematic or post-processed kinematic
corrections, abbreviated RTK and PPK, retain the positioning records and still
plan how the delivered surface will be checked.
Capture the surfaces that matter. Plan views of the crest, slopes, toe, and
nearby stable ground. Image detail and overlap must be suitable for the material
and geometry; an overlap setting alone is not proof of complete coverage.
PIX4D's acquisition guidance highlights the difficulty of matching uniform sand
and water surfaces. Inspect actual images for missing coverage, blur, deep
shadows, and moving machinery, and supplement the collection where necessary.
Process and inspect the model. Retain the camera and processing settings,
review alignment, and inspect the resulting surface for gaps, spikes, and
objects that should not count as material. The
USGS calibration report
explains why flight geometry, camera calibration, control distribution, and
quality assessment interact. A visually convincing orthophoto, the corrected
overhead image, is not sufficient evidence of vertical accuracy.
Define and calculate each pile. Review the toe polygon and chosen base
together. Preserve edits, exclusions, and the software version. For repeat work,
reconcile pile splits, merged piles, and changed boundaries before comparing
totals. An unexplained identifier change can make the inventory confusing even
when each individual calculation is correct.
Keep the workflow proportional to the job. A routine operational estimate and a
quantity used to settle a disputed delivery may require different independent
verification. Agree that distinction before the flight so the necessary
reference evidence can be collected.
How to verify accuracy
Separate image resolution, positional accuracy, volume agreement, and
repeatability. They answer different questions.
Ground sampling distance, or GSD, describes the ground represented by an image
pixel. It is a detail measure, not a measured volume error.
PIX4Dmapper's volume-error estimate
uses assumptions tied to GSD and explicitly excludes the effect of having few
reconstructed points on an object. Treat a software error estimate according to
its stated model, rather than as independent confirmation of the entire survey.
Check position without overstating what it proves
Request checkpoint locations, surveyed coordinates, coordinate differences, and
a summary such as root mean square error, or RMSE. RMSE summarizes the size of
discrepancies without positive and negative errors simply cancelling. Ask for
horizontal and vertical results separately. Checkpoint coordinates used to
adjust the model are no longer a withheld test of that adjustment. Their own
survey quality and spatial coverage also limit what the check can establish.
Review where the checks are. Agreement on accessible ground does not directly
test an unseen floor or every steep face. USGS distinguishes the quality
supplied by control from the ability of check points to validate data; neither
removes the need to inspect the product itself.
Absolute location and internal geometry also differ.
DroneDeploy's accuracy guidance
distinguishes relative measurements within a model from its position in the
world. If the top and base share the same vertical shift, that shift cancels in
their height difference. If today's top is compared with an independently
surveyed historical base, a mismatch between their height references can change
the calculated volume. Confirm their alignment on stable surfaces.
Compare volumes on equivalent terms
For a consequential job, commission a suitable independent reference
measurement, such as a terrestrial laser scan or a survey designed to capture
the relevant surface geometry. Match the measurement time, toe, base,
exclusions, and units. Investigate disagreements in those inputs before
assigning the difference to the drone.
Absolute percentage difference = |drone volume − reference volume| ÷ reference
volume × 100.
Use that expression for a positive reference volume. Near zero, report the
difference in cubic units because a percentage becomes unstable or undefined.
Agreement with a reference is not automatically error against true volume: the
reference has its own sampling and measurement limitations. Two methods that
share the same incorrect base can agree closely.
Davis and Guy's
2023 aggregate-stockpile study
compared UAV photogrammetry, terrestrial laser scanning, and total-station
measurements across different aggregates. The authors reported differences in
suitability by material and observed under-reporting with the total-station
approach. That finding supports checking the reference method's fitness for the
pile; it does not establish a universal percentage for drone surveys.
Finally, repeatability means obtaining similar results when the pile has not
changed. Repeat flights can reveal inconsistency but can also reproduce the same
bias. For change monitoring, ask the supplier how small a change the complete
workflow can distinguish from survey variation. Do not assume the uncertainty of
a difference equals that of one survey; shared errors and independent errors
behave differently. The broader distinction between imagery and a supported
measurement is covered in
what drone inspection evidence can establish.
What the delivery package should contain
Use the handover to make the number reproducible. The following is a recommended
commercial scope based on the documented calculation, control, and export
workflows above; it is not a claim that every provider includes these items.
Scroll horizontally to compare all columns.
Request a sample export before commissioning. Confirm that the receiving GIS,
CAD, or inventory system can read the proposed formats and coordinate
references. A PDF is useful for review, but it cannot substitute for calculation
inputs when the customer must reproduce or challenge the quantity.
Questions to settle before commissioning
Ask the supplier to answer these questions in the scope of work:
- What exactly does the quoted accuracy describe, and against which reference
will it be assessed?
- How will the buried base be established, including areas hidden by walls or
adjacent piles?
- Which observations will independently check the surface, and what remains
unobserved?
- How will ongoing material movement, incomplete coverage, or failed checks
affect delivery and recollection?
- Which files and input versions will we receive, and can we reproduce the
calculation after the service ends?
For an isolated pile on a documented pad, commission the capture and checks
needed to substantiate that defined volume. For an irregular or unknown buried
base, resolve the base evidence first or explicitly limit the use of the
estimate. For repeat inventory, prioritize consistent references and explainable
changes. Those requirements make an accuracy claim useful to the buyer.
Source notes
- PIX4D: Selecting the Image Acquisition Plan Type.
Technical guidance on image matching, coverage, and difficult surfaces.
- PIX4D: How PIX4Dmapper calculates the Volume.
Primary documentation for the gridded surface-difference calculation and
cut/fill signs.
- PIX4D: Which Base Surface is recommended for the Volume Calculation?.
Software-specific guidance for visible and obscured pile boundaries.
- PIX4D: Error estimation in volume calculation.
Assumptions and limitations of its GSD-based error estimate.
- PIX4D: Tie points in photogrammetry projects.
Technical definitions of control points and checkpoints.
- USGS: Guidelines for Calibration of Uncrewed Aircraft Systems Imagery.
Government technical report, 2023, on calibration, collection geometry, and
quality assessment.
- DroneDeploy: How Accurate is My Map?.
Provider documentation distinguishing relative and absolute accuracy.
- Davis and Guy: An Assessment of Point Cloud Data Acquisition Techniques for Aggregate Stockpiles and Volumetric Surveys.
Original conference research, 2023; material-specific method comparison.
- Propeller: Measuring Stockpiles, The Basics.
Provider documentation on outlines, exports, comparisons, and
material-property inputs.
Last checked: September 7, 2026.