What is Calibration Target Accuracy?

When we talk about calibration target accuracy, we’re really asking one basic question: “How perfect is this pattern?” Just like when you buy a ruler, you want to make sure the measurements are correct. A calibration target works the same way – it needs to be extremely precise for your camera to work properly.

There are two main ways we check if a calibration target is accurate enough. The first is called feature position accuracy, which is basically asking “Are all the dots or squares in exactly the right spots?” Think of it like this: imagine you drew a perfect grid on a piece of paper with a computer, then tried to print it out. Position accuracy tells you how close your printed version is to that perfect computer drawing. If some dots ended up a little too far left or right, or up or down, that would show up as poor position accuracy.

The second type is feature spacing accuracy, which asks a different question: “Are all the gaps between neighboring dots exactly the same size?” Picture a fence with evenly spaced posts. Even if each post is in roughly the right area, you’d still want the distance between post 1 and post 2 to be exactly the same as the distance between post 2 and post 3. That’s what spacing accuracy measures – the consistency of those gaps between features.

Both types of accuracy matter because they affect different things. If the overall positions are wrong, your entire measurement system will be shifted or twisted. If the spacing between features isn’t consistent, your measurements might be correct in some areas but wrong in others. It’s like having a ruler where the first few inches are accurate, but then the spacing gets gradually more compressed toward the end.
For anyone using machine vision or camera calibration systems, understanding these two accuracy types helps explain why some calibration targets cost more than others. A cheap target might look fine to your eyes, but when a computer tries to use it for precise measurements, those tiny position and spacing errors add up quickly. That’s why professional applications require targets with accuracy measured in microns – because even the smallest imperfections can throw off an entire measurement system.

Figure 1: Position Deviation Analysis
9-Point Grid Pattern (3×3 Array)

Figure 2: Pitch Accuracy Analysis
12 Adjacent Feature Pairs

Feature Size Accuracy
Dot Diameter, Square/Checker Size, Line Width, etc
Minimum Feature Size
Smallest Dot diameter, Dot spacing, Checker size, Line width, Line spacing, etc
Feature Spacing Accuracy
Any 2 Neighbor Features: Dot Spacing, Chessgrid Corner to Corner Spacing, Line Spacing, etc
Feature Position Accuracy
among Entire Pattern Area (Regarding to Ideal Position)–ChessGrid Corner Position, Circle Position, etc

Measurement results and preparation

For most measurement results, the measured (x, y) positions may generally have an inclination or eccentricity effect regarding its ideal positions. The original (x, y) results are transformed by a best-fit 2D rigid transformation, which will not change relative position of all points, towards their ideal (x, y) value. After this transformation, the inclination and eccentricity effect of measured value can be eliminated.

Actual Measured (X, Y) positions
Point Index Actual X/mm Actual Y/mm
1 -0.00069 0.00028
2 14.99929 0.00006
3 30.00429 0.00048
4 0.00106 14.99828
5 15.00132 14.99835
6 30.00636 14.99805
7 0.00280 29.99889
8 15.00330 29.99928
9 30.00874 29.99897
Ideal 2D (X, Y) Position
Point Index Target X/mm Target Y/mm
1 0 0
2 15 0
3 30 0
4 0 15
5 15 15
6 30 15
7 0 30
8 15 30
9 30 30
2D Affined (X, Y) Positions
Point Index 2D Rigid Transformed X/mm 2D Rigid Transformed Y/mm
1 -0.00264 0.00011
2 14.99734 0.00088
3 30.00234 0.00229
4 -0.00188 14.99811
5 14.99838 14.99917
6 30.00342 14.99986
7 -0.00113 29.99872
8 14.99937 30.00010
9 30.00481 30.00078

#01 Tolerance Analysis Example of

Feature Position Accuracy among Entire Pattern Area

For all 9 points, the positioning tolerance are calculated to know the tolerance distribution among the whole plate. And the maximum value of these tolerance will be Feature Position Accuracy among Entire Pattern Area. Here Point 9 (circled in red) has the maximum deviation from ideal positions, and the Feature Position Accuracy is 4.87μm.

Feature Position Accuracy among Entire Pattern Area
Point Index Tolerances X/mm Tolerances Y/mm Distance vector of a point to its ideal (x, y) location
1 -0.00264 0.00011 0.00264
2 -0.00266 0.00088 0.00280
3 0.00234 0.00229 0.00327
4 -0.00188 -0.00189 0.00267
5 -0.00162 -0.00083 0.00182
6 0.00342 -0.00014 0.00342
7 -0.00113 -0.00128 0.00171
8 -0.00063 0.00010 0.00064
9 0.00481 0.00078 0.00487

#02 Tolerance Analysis Example of

Feature Spacing Accuracy of Any 2 Neighbor Points

There are totally 12 nearest-neighbor distances in 3 x 3 grid. Among these 12 distance values, the minimum and maximum value are -2.4um and +5.4um. It means, for the plate the Feature Spacing Accuracy of Any 2 Neighbor Points is [-2.4um, +5.4um].

Feature Spacing Accuracy of Any 2 Neighbor Points
(For 3 X 3 grid, there are 12 nearest-neighbor distances)
Distance Index Distance Actual 2-Point Distance Values Ideal 2-Point Distance Values Tolerance (Actual - Ideal)
1 Distance(1,2) 14.99998 15.00000 0.0000
2 Distance(1,4) 14.99800 15.00000 -0.0020
3 Distance(2,3) 15.00500 15.00000 0.0050
4 Distance(2,5) 14.99829 15.00000 -0.0017
5 Distance(3,6) 14.99757 15.00000 -0.0024
6 Distance(4,5) 15.00026 15.00000 0.0003
7 Distance(4,7) 15.00061 15.00000 0.0006
8 Distance(5,6) 15.00504 15.00000 0.0050
9 Distance(5,8) 15.00093 15.00000 0.0009
10 Distance(6,9) 15.00092 15.00000 0.0009
11 Distance(7,8) 15.00050 15.00000 0.0005
12 Distance(8,9) 15.00544 15.00000 0.0054

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