The goal of this work is to find a new parametric model of three-dimensional (3D) bone micro-architecture which is both representative of some bone characteristics and can be used as a prior model in tomographic reconstruction or image segmentation. For this purpose, Markov Random Fields (MRFs) are adapted. Bone micro-architecture is typically organized as a pseudo-periodic arrangement of parallel plates with a given thickness (≈ 100 μm), and a given spacing (≈ 700 μm). As standard MRFs could not represent the complexity of bone, we investigated appropriated energy functions, parameters and a design of the neighborhood system including local and distant interactions. Then, parameters of the new model were related to the standard morphometric parameters of the bone microarchitecture using an usual bone quantification tool.
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