Evaluating local contractions from large deformations using affine invariant spectral geometry

Dan Raviv, Jon Lessick, Ramesh Raskar

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We propose a geometric tool for quantifying dense local contractions of the left ventricle given its three dimensional segmented computed tomography (CT). Our approach is based on metric invariants in spectral geometry coupled to a non-rigid alignment algorithm, and can be implemented on data obtained by any modality as only a segmented surface is used. We assume local affine movement of the tissue, and generate a global piecewise constant affine invariant model to regularize the alignment. In contrast to traditional methods which seek diffeomorphic deformation, we show that an isomorphic paradigm can enhance alignment results. We show the superiority of utilizing the proposed metric as part of known non-rigid alignment algorithms on synthesized examples. We further analyzed local contractions and provide statistics for 9 healthy patients and demonstrate abnormal local contractions in atrial fibrillation.

Original languageEnglish
Title of host publicationStatistical Atlases and Computational Models of the Heart
Subtitle of host publicationImaging and Modelling Challenges - 5th International Workshop, STACOM 2014 Held in Conjunction with MICCAI 2014, Revised Selected Papers
EditorsMihaela Pop, Tommaso Mansi, Oscar Camara, Maxime Sermesant, Alistair Young, Kawal Rhode, Kawal Rhode
PublisherSpringer Verlag
Pages147-157
Number of pages11
ISBN (Electronic)9783319146775
DOIs
StatePublished - 2015
Externally publishedYes
Event5th International Workshop on Statistical Atlases and Computational Models of the Heart, STACOM 2014 Held in Conjunction with Medical Image Computing and Computer Assisted Intervention Conference, MICCAI 2014 - Boston, United States
Duration: 18 Sep 201418 Sep 2014

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8896
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference5th International Workshop on Statistical Atlases and Computational Models of the Heart, STACOM 2014 Held in Conjunction with Medical Image Computing and Computer Assisted Intervention Conference, MICCAI 2014
Country/TerritoryUnited States
CityBoston
Period18/09/1418/09/14

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