Exploring Accuracy and Uncertainty in Computed Tomography

二月 15, 2021 | Dirk Steiner

There is a range of terminology for CT system accuracy and uncertainty that should be understood when evaluating 3D scanning systems, this blog post illustrates terms, such as Precision and Accuracy, Tolerance, Uncertainty of Measurement.

Fig. 1: Precision and Accuracy

Precision and Accurcy:

For understanding the difference between accuracy and precision, consider a target like on a dartboard, illustrated in figure 1.

On the upper left the shots are all over the place and relative to the lower right, the precision and accuracy are both low. The top right shows what is sometimes called “good grouping,” all of the shots are very close to each other but not very close to the center which is the aiming point showing low accuracy but high precision. On the lower left all shots are around the center some are just scattered inside the second ring. That would be considered high accuracy but low precision.


The term tolerance refers to the difference between the upper (maximum) limit and lower (minimum) limit of a dimension. In other words, tolerance is the maximum permissible variation in a dimension.

Uncertainty of Measurement:

In most cases when people are asking about accuracy, what they really mean is the uncertainty of measurement. Although a slightly clumsy term, “uncertainty of measurement” is the phrasing used by many standards that apply to CT scanning.

Fig. 2: Uncertainty and Tolerance

Consider figure 2, the measurement came out with a reading of V1. The uncertainty of measurement is a value of how much the real value is likely to be at a certain confidence level.


The important parameter to know when evaluating a CT dataset is the smallest piece of information in it: voxel size. It is simply defined by the length (or diameter) of the field of view divided by number of voxels created in one direction.

Fig. 3: CT System Components and Field of View

The voxel size doesn’t say anything about the smallest detail visible. If there is a pore the size of one voxel, that it would not be enough information to reliably detect it. A rule of thumb is that at least 2 x 2 x 2 voxels are needed to be able to see a single feature. For the purpose of metrology, that is not enough “meet” to create an accurate surface around the object. The term “resolution” is defined for the purpose of the specific application.


Error describes the CT system performance and is the deviation from a known measurement under specific conditions. A system is specified to perform maximum permissible error (MPE); there may be multiple different specifications for one system. The error is not the same as uncertainty of measurement. It represents a value that can be checked as part of an acceptance procedure or to monitor the system while in use. The error is measured under ideal conditions defined by the manufacturer often expressed as MPEXE = V μm * (L / D mm)


Is the process suitable to use for a specific measurement task? Answer is black and white: yes or no.

Suitability typically also covers the question in situations as shown above. The measured value V1 is right inside the tolerance even with worst case uncertainty U considered. V2 is outside even if the best-case uncertainty is assumed. But what happens if the value V2 is within the tolerance, but the uncertainty could make the part fail? One approach is to make the tolerance tighter, but a lot of good parts might fail. The way commonly used standards deal with it is to perform a suitability study. Multiple approaches are available e.g. Gauge R&R, MSA, VDA5, VDI/VDE 2630. The study typically includes the entire process including operator and the object to be measured.

The complete white paper for free download:




九月 29, 2023 | Gina Naujokat

使用 Dragonfly CT 三维体数据分析软件评估铸件孔隙率有三种简单且快速的方法,每种方法均可使用宏自动完成。具体方法和分析时间可通过下载附带应用说明文件获取了解。

View more

Looking back millions of years into the earth's history with computed tomography

七月 27, 2023 | Gina Naujokat

A sedimentary slab from the Holstein Rock was to be examined for its fossil content using computed tomography. Latest CT technology provided results no one had expected.

View more

Unveiling the Mysteries of Life's Origins: Comet Yxlon and our Partnership with the Museum für Naturkunde Berlin

六月 06, 2023 | Isabella Drolz

Have you ever pondered the wondrous journey of life, from conception to birth? At Comet Yxlon, we are proud to support the Museum für Naturkunde Berlin in their quest to answer this profound question through the innovative application of CT technology.

View more