Personalized X-Ray Reconstruction of the Proximal Femur via Intensity-Based Non-rigid 2D-3D Registration

This paper presents a new approach for reconstructing a patient-specific shape model and internal relative intensity distribution of the proximal femur from a limited number (e.g., 2) of calibrated C-arm images or X-ray radiographs. Our approach uses independent shape and appearance models that are learned from a set of training data to encode the a priori information about the proximal femur. An intensity-based non-rigid 2D-3D registration algorithm is then proposed to deformably fit the learned models to the input images. The fitting is conducted iteratively by minimizing the dissimilarity between the input images and the associated digitally reconstructed radiographs of the learned models together with regularization terms encoding the strain energy of the forward deformation and the smoothness of the inverse deformation. Comprehensive experiments conducted on images of cadaveric femurs and on clinical datasets demonstrate the efficacy of the present approach.

[1]  Timothy F. Cootes,et al.  Combining point distribution models with shape models based on finite element analysis , 1994, Image Vis. Comput..

[2]  Alejandro F. Frangi,et al.  3D reconstruction of both shape and Bone Mineral Density distribution of the femur from DXA images , 2010, 2010 IEEE International Symposium on Biomedical Imaging: From Nano to Macro.

[3]  Leo Joskowicz,et al.  Registration of a CT-like atlas to fluoroscopic X-ray images using intensity correspondences , 2008, International Journal of Computer Assisted Radiology and Surgery.

[4]  Rachid Deriche,et al.  Regularization, Scale-Space, and Edge Detection Filters , 1996, ECCV.

[5]  Touradj Ebrahimi,et al.  MESH: measuring errors between surfaces using the Hausdorff distance , 2002, Proceedings. IEEE International Conference on Multimedia and Expo.

[6]  Russell H. Taylor,et al.  Deformable 2D-3D Registration of the Pelvis with a Limited Field of View, Using Shape Statistics , 2007, MICCAI.

[7]  Weiguo Lu,et al.  A simple fixed-point approach to invert a deformation field. , 2007, Medical physics.

[8]  Guoyan Zheng,et al.  A 2D/3D correspondence building method for reconstruction of a patient-specific 3D bone surface model using point distribution models and calibrated X-ray images , 2009, Medical Image Anal..

[9]  Timothy F. Cootes,et al.  Active Appearance Models , 2001, IEEE Trans. Pattern Anal. Mach. Intell..

[10]  Omar Ahmad,et al.  Volumetric DXA (VXA): A new method to extract 3D information from multiple in vivo DXA images , 2010, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[11]  Russell H. Taylor,et al.  Hybrid Cone-Beam Tomographic Reconstruction: Incorporation of Prior Anatomical Models to Compensate for Missing Data , 2011, IEEE Transactions on Medical Imaging.

[12]  Alejandro F. Frangi,et al.  Automatic Construction of 3D Statistical Deformation Models Using Non-rigid Registration , 2001, MICCAI.

[13]  Russell H. Taylor,et al.  Integrating Statistical Models of Bone Density into Shape Based 2 D-3 D Registration Framework , 2009 .

[14]  Wiro J. Niessen,et al.  Correspondence free 3D statistical shape model fitting to sparse x-ray projections , 2010, Medical Imaging.

[15]  Guoyan Zheng,et al.  Effective incorporating spatial information in a mutual information based 3D-2D registration of a CT volume to X-ray images , 2010, Comput. Medical Imaging Graph..

[16]  Nicholas Ayache,et al.  Non-parametric Diffeomorphic Image Registration with the Demons Algorithm , 2007, MICCAI.

[17]  Simon Baker,et al.  Active Appearance Models Revisited , 2004, International Journal of Computer Vision.

[18]  Stéphane Lavallée,et al.  Nonrigid 3-D/2-D Registration of Images Using Statistical Models , 1999, MICCAI.