Bone and Joint Institute

Title

Divergence prior and vessel-tree reconstruction

Document Type

Conference Proceeding

Publication Date

6-1-2019

Journal

Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition

Volume

2019-June

First Page

10208

Last Page

10216

URL with Digital Object Identifier

10.1109/CVPR.2019.01046

Abstract

© 2019 IEEE. We propose a new geometric regularization principle for reconstructing vector fields based on prior knowledge about their divergence. As one important example of this general idea, we focus on vector fields modelling blood flow pattern that should be divergent in arteries and convergent in veins. We show that this previously ignored regularization constraint can significantly improve the quality of vessel tree reconstruction particularly around bifurcations where non-zero divergence is concentrated. Our divergence prior is critical for resolving (binary) sign ambiguity in flow orientations produced by standard vessel filters, eg Frangi. Our vessel tree centerline reconstruction combines divergence constraints with robust curvature regularization. Our unsupervised method can reconstruct complete vessel trees with near-capillary details on synthetic and real 3D volumes.

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