Profilometry · Geometry & shape

Geometry & Shape Measurement

Geometry and shape measurement extracts dimensions from a 3D surface map: radii of curvature, angles, distances, diameters and full contours, compared against a CAD model or a tolerance. NANOVEA profilometers capture that map without contact, including steep flanks up to 87°, so the shape of small, delicate or reflective features is measured without a probe touching them.

3D profilometry scan of dental screws for geometry and shape measurement

At a glance

Dimensions
Radius of curvature, relative angles, distances, lateral dimensions and mean diameter.
Contours
Contour analysis of extracted profiles, with fitted lines, arcs and angles.
CAD comparison
Direct comparison of the measured surface with the CAD geometry, with tolerance-based pass/fail.
Cutting edges
Rake and wedge angle, edge rounding and the K symmetry factor of drill bits and cutting tools.
Steep surfaces
Surface slopes up to 87° measured with single-point sensors.
Any surface
Reflective, transparent, dark or soft materials, without contact or preparation.

What geometry measurement tells you

Many parts are defined by their shape at a scale too small for calipers and too delicate for a touch probe: cutting edges, threads, implants, connectors, micro-moulded features, seal lips, tread patterns, weld beads. Geometry and shape measurement extracts their dimensions from a 3D surface map and checks them against the design.

From 3D map to dimensions

A single scan records the whole feature. Any number of profiles can then be extracted and analysed:

  • radius of curvature of fillets, edges and curved surfaces;
  • relative angles between faces;
  • distances, lateral dimensions and mean diameters;
  • contour analysis, fitting lines and arcs to a profile to dimension it fully.

Because the full surface is stored, more dimensions can be extracted later without re-measuring the part.

Comparing with CAD

For machined, moulded and printed parts, the most complete check compares the measured surface with its CAD model. The deviation at every point shows where material is missing or in excess, not just whether one dimension passes. With tolerance limits set, the software decides pass or fail automatically, as in NANOVEA’s machined parts inspection.

Cutting edges and tools

Edge preparation strongly affects tool life. Edge geometry measurements on drill bits and cutting tools include rake and wedge angles, edge rounding, and the edge segments Sα and Sγ, the distances from the apex to where the rounding meets the flank and rake faces, and their ratio K, which describes whether the edge is symmetric or skewed toward one face. Steep-flank capability up to 87° lets the sensor follow the edge profile without shadowing.

Why non-contact for shape

A touch probe’s tip cannot resolve radii smaller than itself, and its force can deflect thin or soft features. Camera-based methods struggle on reflective or steep surfaces and rely on focus algorithms. Chromatic confocal sensing measures height directly from the reflected wavelength, so lateral and height accuracy come from the sensor’s optics rather than from pixel counts or stitching. The same measurement works on polished metal, ceramic, polymer, rubber and tissue.

Standards

StandardScope
ISO 25178-2Areal surface texture: terms, definitions and surface texture parameters

Surface texture of the same features after form removal.

ISO 12181Geometrical product specifications: roundness

Roundness of circular features extracted from the 3D map.

ISO 12780Geometrical product specifications: straightness

Straightness of edges and lines extracted from the 3D map.

ISO 12781-1Geometrical product specifications: flatness

Flatness of planar faces on the measured part.

Instrument parameter limits may differ from those specified within each standard.

From the same 3D scan

Instruments that run this test

Every instrument is built to order. Send us your samples and we run your test in our laboratory first, then configure the instrument around the result.

Published results

Measured in our own laboratory, on the instruments we design and build, and published with full test parameters.

All profilometry application notes →

Independent published research

NANOVEA instruments appear in 15 published studies on surface geometry and shape, by researchers at universities and industrial laboratories worldwide.

All 15 studies →

NANOVEA materials testing laboratory

Need dimensions or CAD comparison? Send us your parts.

Our laboratory measures geometry, form, roughness and volume on the same profilometers we build, and reports results with the full measurement settings.

Your samples are tested by the people who design the instruments, so you get advice on the method as well as the numbers.

Surface profiling lab services

Frequently asked questions

How is geometry measured with an optical profilometer?

The profilometer records a dense 3D height map of the part. Profiles are then extracted along any line, and the software fits lines, arcs and planes to calculate radii, angles, distances and diameters, or compares the whole surface with the CAD model to show deviations.

What is CAD comparison?

The measured surface is aligned with the part's CAD model and the height difference is calculated at every point. The result shows where the part is above or below nominal and by how much, and tolerance limits turn it into an automatic pass/fail decision.

How steep a surface can be measured?

Single-point chromatic confocal sensors measure surface slopes up to 87°, depending on the sensor. That allows flanks, thread profiles, cutting edges and other steep features to be measured directly.

What cutting-edge parameters can be measured?

The rake and wedge angles, the edge rounding, and the edge-preparation segments Sα (on the flank side) and Sγ (on the rake side), whose ratio is the K factor describing edge symmetry. These govern tool life and cutting performance, and are measured from profiles across the edge.

Why measure geometry without contact?

A touch probe has a finite tip size that cannot follow small radii and sharp edges, and its contact force can deflect thin or soft features. Optical measurement captures fine edges, small radii and delicate parts accurately, and measures the entire surface rather than discrete probe points.