A robust and accurate approach for reconstruction of patient-specific 3D bone models from sparse point sets

Guoyan Zheng

doi:10.1117/12.708141

22 March 2007 A robust and accurate approach for reconstruction of patient-specific 3D bone models from sparse point sets

Guoyan Zheng

Author Affiliations +

Proceedings Volume 6509, Medical Imaging 2007: Visualization and Image-Guided Procedures; 65092W (2007) https://doi.org/10.1117/12.708141
Event: Medical Imaging, 2007, San Diego, CA, United States

Abstract

Constructing an accurate patient-specific 3D bone model from sparse point sets is a challenging task. A priori information is often required to handle this otherwise ill-posed problem. Previously we have proposed an optimal approach for anatomical shape reconstruction from sparse information, which uses a dense surface point distribution model (DS-PDM) as the a priori information and formulates the surface reconstruction problem as a sequential three-stage optimal estimation process including (1) affine registration; (2) statistical morphing; and (3) kernel-based deformation. Mathematically, it is formulated by applying least-squares method to estimate the unknown parameters of linear regression models (the first two stages) and nonlinear regression model (the last stage). However, it is well-known that the least-squares method is very sensitive to outliers. In this paper, we propose an important enhancement that enables to realize stable reconstruction and robustly reject outliers. This is achieved by consistently employing least trimmed squares approach in all three stages of the reconstruction to robustly estimate unknown parameters of each regression model. Results of testing the new approach on a simulated data are shown.

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Guoyan Zheng "A robust and accurate approach for reconstruction of patient-specific 3D bone models from sparse point sets", Proc. SPIE 6509, Medical Imaging 2007: Visualization and Image-Guided Procedures, 65092W (22 March 2007); https://doi.org/10.1117/12.708141

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