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    Area of Science:

    • Medical Imaging
    • Biomedical Engineering
    • Computational Anatomy

    Background:

    • Patient-specific 3-D bone models are crucial for surgical planning, postoperative evaluation, and custom implant/prosthesis design.
    • Two-dimensional-to-3-D (2-D/3-D) reconstruction allows generating 3-D bone models from 2-D radiographs, particularly when advanced 3-D imaging is inaccessible.

    Purpose of the Study:

    • To propose a unified mathematical formulation for 2-D/3-D bone reconstruction methods.
    • To establish a common conceptual framework and unambiguous terminology for existing state-of-the-art techniques.
    • To discuss limitations, recent advancements, and future research directions in the field.

    Main Methods:

    • Utilizes digitally reconstructed radiographs and deformable models within an iterative, non-rigid, intensity-based approach.
    • Estimates both shape and density information typically found in computed tomography (CT) data.
    • Builds upon a comprehensive review of numerous state-of-the-art 2-D/3-D bone reconstruction methods.

    Main Results:

    • A unified mathematical formulation is presented, consolidating various 2-D/3-D reconstruction approaches.
    • The framework provides a common conceptual basis for understanding and comparing different reconstruction techniques.
    • Identifies current challenges and potential avenues for future research in bone reconstruction.

    Conclusions:

    • The proposed unified framework enhances understanding and standardization of 2-D/3-D bone reconstruction.
    • Addresses the need for accurate 3-D bone models in clinical applications using accessible 2-D imaging.
    • Highlights ongoing challenges and future research opportunities for improved patient care and device development.