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Proceedings Paper

Bi-planar 2D-to-3D registration in Fourier domain for stereoscopic x-ray motion tracking
Author(s): Dominique Zosso; Benoît Le Callennec; Meritxell Bach Cuadra; Kamiar Aminian; Brigitte M. Jolles; Jean-Philippe Thiran
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Paper Abstract

In this paper we present a new method to track bone movements in stereoscopic X-ray image series of the knee joint. The method is based on two different X-ray image sets: a rotational series of acquisitions of the still subject knee that allows the tomographic reconstruction of the three-dimensional volume (model), and a stereoscopic image series of orthogonal projections as the subject performs movements. Tracking the movements of bones throughout the stereoscopic image series means to determine, for each frame, the best pose of every moving element (bone) previously identified in the 3D reconstructed model. The quality of a pose is reflected in the similarity between its theoretical projections and the actual radiographs. We use direct Fourier reconstruction to approximate the three-dimensional volume of the knee joint. Then, to avoid the expensive computation of digitally rendered radiographs (DRR) for pose recovery, we develop a corollary to the 3-dimensional central-slice theorem and reformulate the tracking problem in the Fourier domain. Under the hypothesis of parallel X-ray beams, the heavy 2D-to-3D registration of projections in the signal domain is replaced by efficient slice-to-volume registration in the Fourier domain. Focusing on rotational movements, the translation-relevant phase information can be discarded and we only consider scalar Fourier amplitudes. The core of our motion tracking algorithm can be implemented as a classical frame-wise slice-to-volume registration task. Results on both synthetic and real images confirm the validity of our approach.

Paper Details

Date Published: 26 March 2008
PDF: 12 pages
Proc. SPIE 6914, Medical Imaging 2008: Image Processing, 69140I (26 March 2008); doi: 10.1117/12.769469
Show Author Affiliations
Dominique Zosso, Ecole Polytechnique Fédérale de Lausanne (Switzerland)
Benoît Le Callennec, Ecole Polytechnique Fédérale de Lausanne (Switzerland)
Meritxell Bach Cuadra, Ecole Polytechnique Fédérale de Lausanne (Switzerland)
Kamiar Aminian, Ecole Polytechnique Fédérale de Lausanne (Switzerland)
Brigitte M. Jolles, Hôpital Orthopédique de la Suisse Romande and University Hospital of Lausanne (Switzerland)
Jean-Philippe Thiran, Ecole Polytechnique Fédérale de Lausanne (Switzerland)

Published in SPIE Proceedings Vol. 6914:
Medical Imaging 2008: Image Processing
Joseph M. Reinhardt; Josien P. W. Pluim, Editor(s)

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