HALCON hexagonal targets

Honeycomb circle-grid plates with finder patterns and matching .cpd geometry for HALCON camera calibration.

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Hexagonal circle-grid calibration plate with light dots on a dark field and ring-shaped finder marks

Six neighbours around each mark

A hexagonal calibration target offsets alternate rows of circular marks. At equal nearest-neighbour pitch, each interior mark has six neighbours and the pattern can carry more points per area than a square grid. This changes the sampling geometry; it does not by itself guarantee a better calibration.

The finished plate, its coordinate model and the detector must describe the same rows, point order and finder positions.

Compare the point layouts

Select a layout to see how neighbouring rows change. This is a geometry comparison, not a claim that one layout always measures better.

Adjacent rows are offset. Each interior point has six nearest neighbours at the defined pitch.

Rows align. Each interior point has four nearest neighbours along the two grid axes.

Finder patterns establish orientation

A repeating dot lattice does not identify which point is which. Selected groups of ring-like, hole-marked dots break that symmetry, allowing HALCON to identify the plate orientation and assign detected centres to the coordinate model.

Each finder group is defined around a central mark and six neighbours, with selected marks carrying holes. At least one complete group must remain in the image. Group positions and hole assignments must match the artwork and .cpd description; partial or blurred groups can prevent reliable detection.

Close view of ring-shaped finder marks among the hexagonal dot lattice

Plate and .cpd file

The description file supplies the real mark coordinates and finder geometry used by the calibration model. A file from another drawing revision can yield a plausible fit while giving the wrong physical scale.

Two HALCON plate families

Standard square gridgen_caltab / .descr
Hexagonal circle gridcreate_caltab / .cpd

What to match

Mark arrangementHexagonal lattice with alternating rows offset by half the horizontal pitch
Mark geometryDiameter, horizontal pitch, row spacing, count and physical centre coordinates
Finder patternsHole-marked groups at drawing-defined positions; at least one complete group must be visible to the detector
Polarity and illuminationLight marks on a dark field or dark marks on a light field, matched to the detector and substrate
Description dataThe .cpd calibration-plate description must match the manufactured geometry and revision

From drawing to calibrated camera

Define the pattern

Set the mark count, diameter, spacing, polarity and finder positions. HALCON create_caltab can generate description and artwork data for the hexagonal plate; verify the output against the production drawing.

Capture varied views

Keep marks and at least one complete finder pattern sharp and visible while covering the image centre, edges and useful tilt angles.

Solve and check

Set the camera and calibration-object models, collect observations with find_calib_object, then run calibrate_cameras. Review the overall reprojection error and validate the result independently.

Technical specifications

The glass, ceramic and film values below describe distinct material and process options. Select a combination through the approved drawing; the geometric pattern and its .cpd data must then match the finished plate.

Glass target

Fused silica or soda-lime glass with a photolithographic dot pattern.

SubstrateFused silica / soda-lime glass
ProcessPhotolithography
Line-width tolerance±0.2 µm
Minimum feature width0.55 µm or 1 µm, by pattern configuration
Feature and overall accuracy±1 µm
Clear-area transmission>95% at 550 nm
Chrome finishYellow, low-reflection blue or bright chrome
Optical densityYellow chrome OD 3; blue chrome OD 5
Glass thickness1, 1.6, 2.3 or 3 mm (±0.2 mm)
Large-format glass thickness4.8 mm for the 500 × 500 mm format
Outline sizeFrom 2 × 2 mm up to 800 × 960 mm
Outline tolerance at maximum format±0.1 mm at 800 × 960 mm
Fused-silica expansion<5.0 × 10⁻⁷/K at 20–200°C
Low-reflection chrome reflectance<13.4% at 550 nm; <1.8% at 650 nm; <2.67% at 750 nm
Surface flatness<0.55 µm for lengths <50 mm; <2 µm for lengths <100 mm; <5 µm for lengths >100 mm
Chrome coating thickness120 ±5 nm (1200 ±50 Å)
Surface roughness<0.025 µm
Optional white backing40 µm coating; 10 µm minimum feature width
Outline shapeSquare
Pattern polarityOpaque dots or clear dots
Ceramic target

Opaque ceramic plates with matte or bright chrome patterns for reflective imaging.

Opaque ceramic is used with reflected light; it cannot form a backlit clear-dot plate.

SubstrateZirconia or alumina ceramic
ProcessPhotolithography
Line-width tolerance±0.2 µm
Pattern optionsMatte chrome on matte ceramic; bright chrome on glossy ceramic
Minimum feature width4 µm matte; 2 µm glossy
Feature accuracy±2 µm
Outline accuracy±0.05 mm
Ceramic thickness1 mm (±0.1 mm), 2 mm or 3 mm (±0.1 mm)
Outline sizeFrom 2 × 2 mm up to 228 × 228 mm
Outline size tolerance±0.1 mm at minimum and maximum formats
Flatness<30 µm below 100 mm; <60 µm below 200 mm
Chrome coatingMatte chrome or bright chrome
Chrome thickness120 ±5 nm (1200 ±50 Å)
Surface roughness0.2–0.7 µm
Thermal expansion<6.7 × 10⁻⁶/K at 40–400°C
Matte chrome reflectance<12.88% at 550 nm; <10.62% at 650 nm; <12.23% at 750 nm
Bright chrome reflectance<9.56% at 550 nm; <1.89% at 650 nm; <11.168% at 750 nm
Density≥3.66 g/cm³
Rockwell hardness≥80 HRA
Optional protectionThin protective layer above the chrome pattern
Edge and hole optionsLaser-cut outline, hole, chamfer or bevel
Pattern polarityOpaque pattern or clear pattern
Finish and shapeMatte or glossy; square, elliptical or drawing-defined cutouts
Photographic film target

A thin, lightweight format for larger patterns where mounting and ambient conditions are controlled.

ProcessPhotographic-film lithography
ApplicationTransmitted-light or backlit functional testing
Minimum feature width10 or 30 µm
Feature accuracy±10 µm
Film thickness0.18 mm (±0.01 mm)
Temperature-related dimensional change10 µm per °C per metre
Environmental responseFilm dimensions also respond to humidity; control temperature and relative humidity during coordinate measurement
EmulsionSilver halide, approximately 2 µm
Clear-area transmission>90% across 400–700 nm
Optical densityOD >4 in solid black; grayscale density can be specified
Maximum format0.71 × 0.81 m at 10 µm minimum width; 1.68 × 3.5 m at 30 µm
Maximum-format tolerance±0.1 mm for both maximum formats
Pattern and cuttingBlack, grayscale or sinusoidal grayscale; straight, laser-cut or perforated outline

Where it is used

Camera and lens calibrationKnown mark coordinates support estimation of camera parameters and lens distortion from multiple views.

Stereo and multi-camera systemsObservations in each camera support estimation of relative pose when the chosen calibration model and capture geometry are suitable.

Machine vision measurementA calibrated camera model supports geometric correction and measurements on a defined working plane or with an additional depth constraint.

Robot guidanceCombine plate observations with robot poses in a separate hand-eye calibration workflow.

Common questions

What is a honeycomb calibration target?

It is a circle-grid plate whose alternating rows form a hexagonal lattice. The physical point coordinates, finder patterns and description data together define the calibration object.

Is a hexagonal grid always more accurate than a square grid?

No. The hexagonal lattice can place more points in an equal-pitch area, but accuracy depends on target geometry, imaging, detection, camera model and independent validation.

Why are finder patterns needed?

A regular lattice repeats under rotation. Distinctive hole-marked groups let the detector establish plate orientation and point order; their geometry must match the .cpd file.

Can a .descr file replace the .cpd file?

No. Standard square-grid and create_caltab hexagonal plates use different description formats. Use the file generated for the actual plate and HALCON workflow.

Does calibrate_cameras return an error for every image?

No. Its Error output is the overall back-projection RMSE. Inspect stored observations and residuals separately when investigating individual views.

Which material suits backlighting?

Glass or film can carry clear marks in an opaque coating. Opaque ceramic is intended for reflected-light arrangements and cannot form transmissive holes simply by opening the chrome layer.

Define the plate with your camera setup

Send the drawing, working field, HALCON version, lighting mode and required description-file format so the physical plate and software model can be checked together.

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Related targets

HALCON-compatible circle-grid targetsDot array calibration targetsCheckerboard calibration targets

Selection notes

HALCON hexagonal calibration targets arrange circle centres on an alternating-offset hexagonal lattice, with finder features at defined locations.

Use the matching create_caltab geometry and .cpd calibration-object data. Preserve the required finder pattern, pitch, diameter and arrangement when scaling or modifying artwork.

Information for your inquiry

HALCON version, hexagonal geometry, dot diameter and pitch, finder arrangement, .cpd data, substrate and active field.

Does honeycomb mean holes cut through the substrate?

No. It describes the arrangement of circle centres. A transparent or dark film feature is distinct from a mechanical through-hole.

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