A functional spatio-temporal model for shape is investigated for objects represented by landmark data. The model describes a time-varying deformation of the ambient space in which the objects of interest lie. By using bases functions dened by principal warps in space and time facilitates the model specication and the tting of the data represented by Procrustes tangent coordinates. The tted model can be interpreted either just in terms of the nite set of landmarks at the nite set of data times, or in terms of a deformation of space which varies continuously through time. The method is illustrated on a set of data representing 4 different facial expressions
A Functional Spatio-Temporal Model for Geometric Shape Analysis
FONTANELLA, Lara;IPPOLITI, Luigi;VALENTINI, PASQUALE
2013-01-01
Abstract
A functional spatio-temporal model for shape is investigated for objects represented by landmark data. The model describes a time-varying deformation of the ambient space in which the objects of interest lie. By using bases functions dened by principal warps in space and time facilitates the model specication and the tting of the data represented by Procrustes tangent coordinates. The tted model can be interpreted either just in terms of the nite set of landmarks at the nite set of data times, or in terms of a deformation of space which varies continuously through time. The method is illustrated on a set of data representing 4 different facial expressionsI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
