Abstract

MotivationCortical bone is an important contributor to bone strength and is pivotal to understand the etiology of osteoporotic fractures and the specific mechanisms of antiosteoporotic treatment regimen. 3D computed tomography (CT) can be used to measure cortical thickness, density, and mass in the proximal femur, lumbar vertebrae, and distal forearm. However, the spatial resolution of clinical whole body CT scanners is limited by radiation exposure; partial volume artefacts severely impair the accurate assessment of cortical parameters, in particular in locations where the cortex is thin such as in the lumbar vertebral bodies or in the femoral neck.MethodModel-based deconvolution approaches recover the cortical thickness by numerically deconvolving the image along 1D profiles using an estimated scanner point spread function (PSF) and a hypothesized uniform cortical bone mineral density (reference density). In this work we provide a new essentially analytical unique solution to the model-based cortex recovery problem using few characteristics of the measured profile and thus eliminate the non-linear optimization step for deconvolution. Also, the proposed approach allows to get rid of the PSF in the model and reduces sensitivity to errors in the reference density. Additionally, run-time and memory effective computation of cortical thickness was achieved with the help of a lookup table.ResultsThe method accuracy and robustness was validated and compared to that of a deconvolution approach recently proposed for cortical bone and of the 50% relative threshold technique: in a simulated environment with noise and various error levels in the reference density and using CT acquisitions of the European Forearm Phantom (EFP II), a modification of a widely used anthropomorphic standard of cortical and trabecular bone compartments that was scanned with various scan protocols.ConclusionResults of simulations and of phantom data analysis verified the following properties of the new method: 1) Robustness against errors in the reference density. 2) Excellent accuracy on ground truth data with various noise levels. 3) Very fast computation using a lookup table.

Highlights

  • Low bone mineral density (BMD) is an important risk factor for osteoporotic fracture

  • Cortical bone thickness estimation in computed tomography (CT) images modification of a widely used anthropomorphic standard of cortical and trabecular bone compartments that was scanned with various scan protocols

  • Limited spatial resolution causes partial volume artefacts, which prevent the accurate segmentation of cortical bone and as a consequence the accurate determination of cortical BMD, BMC, and thickness

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Summary

Introduction

Low bone mineral density (BMD) is an important risk factor for osteoporotic fracture. Cortical BMD and perhaps cortical thickness are independent predictors of bone strength but there is still no agreement on the relative contributions of trabecular and cortical BMD [1, 2]. Quantitative CT (QCT) is the method of choice to separately assess cortical and trabecular compartments in proximal femur and lumbar spine, primary sites for diagnosis of osteoporosis. Due to limited spatial resolution of the imaging process the measurement of cortical parameters is often associated with larger accuracy errors, in particular in locations such as the femoral neck. Limited spatial resolution causes partial volume artefacts, which prevent the accurate segmentation of cortical bone and as a consequence the accurate determination of cortical BMD, BMC, and thickness

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