Mass preserving registration for heart MR images

Authors:
Lei Zhu;Steven Haker;Allen Tannenbaum
Affiliations:
School of Biomedical Engineering, Georgia Institute of Technology, Atlanta, GA;Surgical Planning Lab, Brigham and Women's Hospital, Harvard Medical School, Boston, MA;School of Biomedical Engineering, Georgia Institute of Technology, Atlanta, GA
Venue:
MICCAI'05 Proceedings of the 8th international conference on Medical image computing and computer-assisted intervention - Volume Part II
Year:
2005

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The Earth Mover''s Distance as a Metric for Image Retrieval

The Earth Mover''s Distance as a Metric for Image Retrieval
Optimal Mass Transport for Registration and Warping

International Journal of Computer Vision

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Abstract

This paper presents a new algorithm for non-rigid registration between two doubly-connected regions. Our algorithm is based on harmonic analysis and the theory of optimal mass transport. It assumes an underlining continuum model, in which the total amount of mass is exactly preserved during the transformation of tissues. We use a finite element approach to numerically implement the algorithm.