Title
The decomposition of deformation: New metrics to enhance shape analysis in medical imaging.
Abstract
•Shape analysis in Medical Image requires an appropriate decomposition of deformation.•Spherical (purely homothetic), Deviatoric (affine non-homothetic) and Non Affine components must be defined to be reciprocally orthogonal.•This can be done in different ways depending on the metric used for size definition: Centroid Size and m-Volume are the most used measures.•We propose three different strategies, “Fully Euclidean”, “GPp”, “TPSs”, in order to decompose deformations in series of shapes.•We applied this to 3D Speckle Tracking Echocardiography data including healthy Control subjects and patients affected by Hypertrophic Cardiomyopathy; while pathology is best recognized using the Fully Euclidean metric, the differential mechanical behaviour of epicardium and epicardium is better perceived using the non Euclidean TPS metric.
Year
DOI
Venue
2018
10.1016/j.media.2018.02.005
Medical Image Analysis
Keywords
Field
DocType
Geometric morphometrics,Decomposition of deformation,Riemannian metrics,Size and shape,Left ventricle deformation
Affine transformation,Thin plate spline,Pattern recognition,Medical imaging,Mathematical analysis,Tangent,Artificial intelligence,Deformation (mechanics),Mathematics,Centroid,Shape analysis (digital geometry),Tangent space
Journal
Volume
ISSN
Citations 
46
1361-8415
0
PageRank 
References 
Authors
0.34
7
8
Name
Order
Citations
PageRank
v varano131.12
paolo piras231.12
s gabriele331.45
luciano teresi411.73
paola nardinocchi511.39
Ian L. Dryden6385.68
Concetta Torromeo742.28
Paolo Emilio Puddu8226.21