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Proceedings Paper

An optimal three-stage method for anatomical shape reconstruction from sparse information using a dense surface point distribution model
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Paper Abstract

Constructing anatomical shape from sparse information is a challenging task. A priori information is often required to handle this otherwise ill-posed problem. In this paper, the problem is formulated as a three-stage optimal estimation process using an a priori dense surface point distribution model (DS-PDM). The dense surface point distribution model itself is constructed from an already-aligned training shape set using Loop subdivision. It provides a dense and smooth description of all a priori training shapes. Its application in anatomical shape reconstruction facilitates all three stages as follows. The first stage, registration, is to iteratively estimate the scale and the 6-dimensional (6D) rigid registration transformation between the mean shape of DS-PDM and the input points using the iterative closest point (ICP) algorithm. Due to the dense description of the mean shape, a simple point-to-point distance is used to speed up the searching for closest point pairs. The second stage, morphing, optimally and robustly estimates a dense patient-specific template surface from DS-PDM using Mahalanobis distance based regularization. The estimated dense patient-specific template surface is then fed to the third stage, deformation, which uses a newly formularized kernel-based regularization to further reduce the reconstruction error. The proposed method is especially useful for accurate and stable surface reconstruction from sparse information when only a small number of a priori training shapes are available. It has been successfully tested on anatomical shape reconstruction of femoral heads using only dozens of sparse points, yielding very promising results.

Paper Details

Date Published: 10 March 2006
PDF: 9 pages
Proc. SPIE 6141, Medical Imaging 2006: Visualization, Image-Guided Procedures, and Display, 614110 (10 March 2006); doi: 10.1117/12.651368
Show Author Affiliations
Guoyan Zheng, Univ. Bern (Switzerland)
Kumar T. Rajamani, Univ. Bern (Switzerland)

Published in SPIE Proceedings Vol. 6141:
Medical Imaging 2006: Visualization, Image-Guided Procedures, and Display
Kevin R. Cleary; Robert L. Galloway, Jr., Editor(s)

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