Robust surface reconstruction via Laplace-Beltrami eigen-projection and boundary deformation.

IEEE Transactions on Medical Imaging
Yonggang ShiArthur W Toga

Abstract

In medical shape analysis, a critical problem is reconstructing a smooth surface of correct topology from a binary mask that typically has spurious features due to segmentation artifacts. The challenge is the robust removal of these outliers without affecting the accuracy of other parts of the boundary. In this paper, we propose a novel approach for this problem based on the Laplace-Beltrami (LB) eigen-projection and properly designed boundary deformations. Using the metric distortion during the LB eigen-projection, our method automatically detects the location of outliers and feeds this information to a well-composed and topology-preserving deformation. By iterating between these two steps of outlier detection and boundary deformation, we can robustly filter out the outliers without moving the smooth part of the boundary. The final surface is the eigen-projection of the filtered mask boundary that has the correct topology, desired accuracy and smoothness. In our experiments, we illustrate the robustness of our method on different input masks of the same structure, and compare with the popular SPHARM tool and the topology preserving level set method to show that our method can reconstruct accurate surface representations withou...Continue Reading

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Citations

Jun 10, 2014·Computer Aided Design·Zhanheng GaoXiaoli Pang
Jan 31, 2012·Neuroimaging Clinics of North America·Arthur W Toga
Dec 23, 2014·IEEE Transactions on Medical Imaging·Jaeil KimJinah Park
Apr 2, 2014·IEEE Transactions on Medical Imaging·Yonggang ShiArthur W Toga
Oct 23, 2012·IEEE Transactions on Medical Imaging·Yonggang ShiUNKNOWN Alzheimer’s Disease Neuroimaging Initiative
Feb 24, 2015·Medical Image Analysis·Gang WangUNKNOWN Alzheimer’s Disease Neuroimaging Initiative
Sep 14, 2018·Scientific Reports·Alexandr A KalininIvo D Dinov
Oct 3, 2018·Cerebral Cortex·Kirsten M LynchUNKNOWN Pediatric Imaging, Neurocognition and Genetics Study
Aug 31, 2020·NeuroImage·Wei SunUNKNOWN for Alzheimer's Disease Neuroimaging Initiative
Dec 30, 2016·NeuroImage·Gang WangUNKNOWN Alzheimer's Disease Neuroimaging Initiative
Apr 29, 2021·Molecular Biology of the Cell·Alexandr A KalininBrian D Athey

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