A Data-Driven Approach for Assembling Intertrochanteric Fractures by Axis-Position Alignment

In clinics, the reduction of femoral intertrochanteric fractures should meet the medical demands of both axis alignment and position alignment. State-of-the-art approaches are designed for merely position alignment, not allowing for axis alignment. The axis-position alignment can be formulated as a least square optimization problem with the inequality constraints. The main challenges include how to solve this constrained optimization problem and effectively extract the semantic of the randomly fractured bone pieces. To address these problems, a semi-automatic data-driven method is introduced. First, the medical semantic parameters are computed, at the beginning of when the 3D input pieces’ anatomical areas are labeled by using the deep neural network. A statistical shape model is leveraged to generate the synthetic training data so as to learn the anatomical landmarks of the pieces, greatly reducing the labeling costs for training. The final reduction position of the pieces is obtained through iterative axis alignment and position alignment. Our method is evaluated by three baselines, i.e., the manual assembly of the orthopaedic specialists and two typical bone assembling methods. The presented method solves an optimization problem for assembling intertrochanteric fracture by axis-position alignment. All cases can be successfully assembled with the developed algorithm which is proved to be capable of reaching the clinical demand.

[1]  Paul J. Besl,et al.  A Method for Registration of 3-D Shapes , 1992, IEEE Trans. Pattern Anal. Mach. Intell..

[2]  Wei Yu,et al.  Fragmented skull modeling using heat kernels , 2012, Graph. Model..

[3]  Jie Zhang,et al.  A femur fracture reduction method based on anatomy of the contralateral side , 2013, Comput. Biol. Medicine.

[4]  Juan José Jiménez-Delgado,et al.  Computer assisted preoperative planning of bone fracture reduction: Simulation techniques and new trends , 2016, Medical Image Anal..

[5]  Yen-Wei Chen,et al.  Computer-Assisted Preoperative Planning for Reduction of Proximal Femoral Fracture Using 3-D-CT Data , 2009, IEEE Transactions on Biomedical Engineering.

[6]  H. Wolfson,et al.  Solving jigsaw puzzles by computer , 1988 .

[7]  Gábor Székely,et al.  Computer assisted reconstruction of complex proximal humerus fractures for preoperative planning , 2012, Medical Image Anal..

[8]  Leonidas J. Guibas,et al.  PointNet++: Deep Hierarchical Feature Learning on Point Sets in a Metric Space , 2017, NIPS.

[9]  H. Pottmann,et al.  Reassembling fractured objects by geometric matching , 2006, SIGGRAPH 2006.

[10]  Pierre Vandergheynst,et al.  Geometric Deep Learning: Going beyond Euclidean data , 2016, IEEE Signal Process. Mag..

[11]  Juan José Jiménez-Delgado,et al.  Identification of fracture zones and its application in automatic bone fracture reduction , 2017, Comput. Methods Programs Biomed..

[12]  Timothy F. Cootes,et al.  Active Shape Models-Their Training and Application , 1995, Comput. Vis. Image Underst..

[13]  Enkhbayar Altantsetseg,et al.  Pairwise matching of 3D fragments using fast fourier transform , 2014, The Visual Computer.

[14]  Manish Agarwal,et al.  Computerized Medical Imaging and Graphics Automated Identification of Anatomical Landmarks on 3d Bone Models Reconstructed from Ct Scan Images , 2022 .

[15]  Simon Winkelbach,et al.  Pairwise Matching of 3D Fragments Using Cluster Trees , 2008, International Journal of Computer Vision.

[16]  Rémy Prost,et al.  Multi-atlas automatic positioning of anatomical landmarks , 2018, J. Vis. Commun. Image Represent..

[17]  Bin Liu,et al.  An automatic personalized internal fixation plate modeling framework for minimally invasive long bone fracture surgery based on pre-registration with maximum common subgraph strategy , 2019, Comput. Aided Des..

[18]  K. Subburaj,et al.  Computer-aided methods for assessing lower limb deformities in orthopaedic surgery planning , 2010, Comput. Medical Imaging Graph..

[19]  Bin Liu,et al.  A personalized ellipsoid modeling method and matching error analysis for the artificial femoral head design , 2014, Comput. Aided Des..

[20]  Jianxiong Xiao,et al.  3D ShapeNets: A deep representation for volumetric shapes , 2014, 2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).

[21]  Kang Zhang,et al.  A graph-based optimization algorithm for fragmented image reassembly , 2014, Graph. Model..

[22]  Ioannis Pitas,et al.  Automatic Color Based Reassembly of Fragmented Images and Paintings , 2010, IEEE Transactions on Image Processing.

[23]  Kunwoo Lee,et al.  Automated bone landmarks prediction on the femur using anatomical deformation technique , 2013, Comput. Aided Des..

[24]  Georgios Papaioannou,et al.  On the automatic assemblage of arbitrary broken solid artefacts , 2003, Image Vis. Comput..

[25]  P. Giannoudis,et al.  The management of intertrochanteric hip fractures , 2016 .

[26]  H. Späth,et al.  Least-Square Fitting with Spheres , 1998 .

[27]  Gábor Székely,et al.  A scale‐space curvature matching algorithm for the reconstruction of complex proximal humeral fractures , 2018, Medical Image Anal..

[28]  Pietro Cerveri,et al.  Automating the design of resection guides specific to patient anatomy in knee replacement surgery by enhanced 3D curvature and surface modeling of distal femur shape models , 2014, Comput. Medical Imaging Graph..

[29]  P. Giannoudis,et al.  Nailing Intertrochanteric Hip Fractures: Short Versus Long; Locked Versus Nonlocked , 2015, Journal of orthopaedic trauma.

[30]  Byoung-Keon Park,et al.  Function-based morphing methodology for parameterizing patient-specific models of human proximal femurs , 2014, Comput. Aided Des..