Recovery of nonrigid motion and structure
Pentland, A.
Horowitz, B.
Media Lab., MIT, Cambridge, MA;
This paper appears in: Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publication Date: Jul 1991
Volume: 13,
Issue: 7
On page(s): 730-742
ISSN: 0162-8828
References Cited: 21
CODEN: ITPIDJ
INSPEC Accession Number: 4026737
Digital Object Identifier: 10.1109/34.85661
Current Version Published: 2002-08-06
Abstract
The authors introduce a physically correct model of elastic
nonrigid motion. This model is based on the finite element method, but
decouples the degrees of freedom by breaking down object motion into
rigid and nonrigid vibration or deformation modes. The result is an
accurate representation for both rigid and nonrigid motion that has
greatly reduced dimensionality, capturing the intuition that nonrigid
motion is normally coherent and not chaotic. Because of the small number
of parameters involved, this representation is used to obtain accurate
overstrained estimates of both rigid and nonrigid global motion. It is
also shown that these estimates can be integrated over time by use of an
extended Kalman filter, resulting in stable and accurate estimates of
both three-dimensional shape and three-dimensional velocity. The
formulation is then extended to include constrained nonrigid motion.
Examples of tracking single nonrigid objects and multiple constrained
objects are presented
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