Elsevier

Academic Radiology

Volume 14, Issue 10, October 2007, Pages 1221-1228
Academic Radiology

MICCAI Joint Disease Workshop
Accuracy Evaluation of Automatic Quantification of the Articular Cartilage Surface Curvature from MRI

https://doi.org/10.1016/j.acra.2007.07.001Get rights and content

Rationale and Objectives

To study the articular cartilage surface curvature determined automatically from magnetic resonance (MR) knee scans, evaluate accuracy of the curvature estimates on digital phantoms, and an evaluation of their potential as disease markers for different stages of osteoarthritis (OA).

Materials and Methods

Knee MR data were acquired using a low-field 0.18T scanner, along with posteroanterior x-rays for evaluation of radiographic signs of OA according to the Kellgren-Lawrence index (KL). Scans from a total of 114 knees from test subjects with KL 0–3, 59% females, ages 21–79 years were evaluated. The surface curvature for the medial tibial compartment was estimated automatically on a range of scales by two different methods: Euclidean shortening flow and boundary normal comparison on a cartilage shape model. The curvature estimates were normalized for joint size for intersubject comparisons. Digital phantoms were created to establish the accuracy of the curvature estimation methods.

Results

A comparison of the two curvature estimation methods to ground truth yielded absolute pairwise differences of 1.1%, and 4.8%, respectively. The interscan reproducibility for the two methods were 2.3% and 6.4% (mean coefficient of variation), respectively. The surface curvature was significantly higher in the OA population (KL > 0) compared with the healthy population (KLi = 0) for both curvature estimates, with P values of .000004 and .000006, respectively. The shape model based curvature estimate could also separate healthy from borderline OA (KL = 1) populations (P = .005).

Conclusion

The phantom study showed that the shape model method was more accurate for a coarse-scale analysis, whereas the shortening flow estimated fine scales better. Both the fine- and the coarse-scale curvature estimates distinguished between healthy and OA populations, and the coarse-scale curvature could even distinguish between healthy and borderline OA populations. The highly significant differences between populations demonstrate the potential of cartilage curvature as a disease marker for OA.

Section snippets

Population and Image Acquisition

The test subjects were between 22 and 79 years of age (average 56 years), with 59% females, and there were both healthy and osteoarthritic subjects according to the KL index. The dataset consisted of MRI scans and x-rays from 114 knees that were used for the evaluation of the method. In addition, 25 knee scans were used for the training of the automatic method. For reproducibility evaluation, 31 knees were rescanned after approximately 1 week, making the total number of knee datasets 170.

Evaluation on Phantoms

The results of estimating the curvature with both the shortening flow and the shape model methods on the same five phantoms with increasing known curvature values can be seen in Fig 5. In the shortening flow method, the mean curvature was calculated using Gaussian derivatives with scale 0.9, because this generated curvature values closest to ground truth. The results show that the shape-model curvature is more accurate when it comes to estimating low curvature values. This is a result of the

Discussion

In this article, we have presented two methods for automatically estimating the curvature on the articular cartilage surface. One method is based on Euclidean shortening flow, in which an object is evolved according to its surface mean curvature, which leads to the shrinking into one or several spheres and eventually disappearance of the object. It is therefore essential that the curvature is measured early in the evolution while the object still has an anatomically meaningful representation.

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