TC angles
The reliability testing for the TC-dp angle was 0.77 and 0.65, and therefore much lower in comparison to all other parameters. The main difficulty in the measurement of this angle is the fact, that the shape of the talus and calcaneus at the level of their bodies is not always easily definable. The TC-dp angle shows a comparatively low ability to distinct between the two groups (AUC = 0,660). This is higher for the TC-lat angle (AUC = 0,757). In the end it must be noted, that the TC angles could hardly distinguish between the groups, and therefore it was not possible to set a reference value. The sum of both TC-angles led to a slightly improved performance to distinct between the groups (TCInd with AUC = 0,799), but nonetheless, the usefulness of the parameters is rather low. This also corresponds to the experience of other authors who used the same parameter with idiopathic clubfoot decades ago [14].
Costa-B angle
The Costa-B angle shows a particularly high reliability. In contrast, the distinction between the groups was only moderate with only half of the feet being correctly allocated to either groups. This can be explained by the large threshold range of 17 °. Therefore, the definition of a reference value is not reasonable. The Costa-B angle correlates poorly with the angular dimensions that characterize the talonavicular alignment in the transverse plane (Pearson-correlation to TNG = − 0.30, to TMTIB = − 0.34), but better with those parameters reflecting the alignment in the sagittal plane (Pearson-correlation to TMTI-lat = − 0.63). One major drawback of the parameter in our experience is the difficulty to clearly determine the distal point on the sesamoid, at least in childhood.
TMT angles
All talometatarsal angles showed good intra- and interobserver reliability, some of which is well above 0.9. Establishing the longitudinal axis of the talus in the sagittal plane with the help of two incircles has proven effective. In the transversal plane it is noticeable, that the TMTI-dp angle and the TMTIB angle differ from one another in the two groups, but this is not statistically significant. It is therefore important whether one uses the TMTIB angle (which measures the conditions at the talonavicular joint more specifically) or the TMTI-dp angle (which is more susceptible to concomitant forefoot deformities, e.g. Metatarsus primus varus, skew-foot) to calculate the TMTInd.
The TMTInd was shown to have the highest discrimination rate (AUC = 0.998) of all parameters. It was also possible to define a reference value between the two groups on an overlap area of only 3 °. 20 of 22 feet of the normal group and 21 of 22 flatfeet could be assigned to the appropriate group by the TMTInd alone. Due to the small threshold range a definition of reference values was also possible for the TMTIB and the TMTI-lat.
In the flatfoot group, the percentual fraction of the TMTIB as part of the TMTInd is 41% on average and that of the TMTl-lat 59%, respectively. It is noteworthy, however, that the proportion of the TMTIB ranges between 22% and 61%. This shows, that there is a wide range of individual fluctuations with regard to the involvement of the sagittal plane and transverse plane in the flatfoot deformity. It is also a confirmation of the very different planar dominance of the talocalcaneo-navicular complex in every single flatfoot [4]. This observation can also be used to conclude, that both planes must be taken into account (as ensured by the TMTInd) to evaluate the flatfoot deformity correctly and in its entire form.
TNC
Surprisingly, the TNC showed a very high reliability, although it is often not easily possible to determine the boundaries of the articular surface, especially at the level of the talar head. In addition, there is approximately the same AUC value (0.943) as compared with the TMTIB (0.947). However, a reference value is not easily definable with a threshold range of 12.5°.
Calc-P, Calc-MTV
In contrast to all other parameters, these two well reproducible angles do not allow any statement about the positional relationship between the talus and the subtalar footplate. For basic considerations, these parameters alone are less suitable to characterize the flatfoot deformity. Additionally, the threshold ranges are particularly high and AUC values well under 0.9. Definition of reference values for these parameters is not helpful.
A limitation of the present study may be the fact, that in the control group all patients had some kind of foot disorders and the term “normal” must be interpreted with conscious. Nevertheless, none of the patients had pathologies influencing the foot arch or causing flatfoot-like deformities. Additionally, all patients in this group had clinically a normal foot shape in the area of interest, namely the tarsal region. We are well aware, that classifying a flatfoot is sometimes subjective, especially if the deformity is not too pronounced. This could influence the measurements of the study group and making the borders between the groups blur. On the other hand, surgery was only performed on patients with relevant pathology, and therefore it can be assumed, that our study group consisted only of clear diagnoses regarding a flatfoot deformity. Another weakness of the current study is the small sample size. Even though, the most relevant studies with similar questions do have very similar patient numbers, studies with higher numbers are needed to confirm our findings [4–6].