Abstract
In the human body, two articular cartilages are in proximity to each other. To estimate the influence of one articular cartilage on the accuracy of thickness measurement of another articular cartilage from MR images, we formulated a mathematical model of two adjacent sheets composed of Sheet1 and Sheet2 with a narrow interval τ0 between them, and then performed numerical simulations of MR imaging and postprocessing. In this paper, we mainly focused on assessing the influence of Sheet1 on the accuracy of thickness measurement of Sheet2 . We defined thickness as the distance between the two edges of the sheet structure, which are the zero‐crossings of the second directional derivatives combined with Gaussian blurring along the normal direction of the sheet surface. A single sheet structure was also modeled and simulated. The simulated results confirmed that when >0 < 3 ∼ 4σ (Gaussian standard deviation) mm, the adjacent sheet (Sheet1 ) affected measured thickness of Sheet2; thickness of Sheet2 was underestimated by comparison with a single sheet. The four phantoms and clinical MR data of 5 normal volunteers without history of hip pain were used to validate the theoretical simulation.
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