TY - GEN

T1 - Decoupled sequential estimation of homeomorphic deformations

AU - Hagege, Rami

AU - Francos, Joseph M.

PY - 2007/12/1

Y1 - 2007/12/1

N2 - We consider the problem of object and image registration, where the observation is assumed to be the result of a geometric deformation of a known template. More specifically, in the current framework we are interested in the case where the overall deformation is a result of a sequence of deformations the object has undergone and one is interested in estimating only part of the sequence, in a way that is invariant to the existence of the other deformations. The simplest example is the case where the deformation is af̌ne, but one is interested only in estimating the scaling and rotation, irrespectively of the possible translation. In this paper we present a general framework allowin gone to " focus" only on the parts of interest in the deformation, being invariant to "nuisance" parts of the overall deformation. This is achieved by transforming the original problem in which the deformation parameters appear implicitly rather than explicitly, into an equivalent problem which is explicit and linear in the deformation parameters. The representation of the original problem in the "classic" framework of linear spaces enables the adoption of well known linear methods.

AB - We consider the problem of object and image registration, where the observation is assumed to be the result of a geometric deformation of a known template. More specifically, in the current framework we are interested in the case where the overall deformation is a result of a sequence of deformations the object has undergone and one is interested in estimating only part of the sequence, in a way that is invariant to the existence of the other deformations. The simplest example is the case where the deformation is af̌ne, but one is interested only in estimating the scaling and rotation, irrespectively of the possible translation. In this paper we present a general framework allowin gone to " focus" only on the parts of interest in the deformation, being invariant to "nuisance" parts of the overall deformation. This is achieved by transforming the original problem in which the deformation parameters appear implicitly rather than explicitly, into an equivalent problem which is explicit and linear in the deformation parameters. The representation of the original problem in the "classic" framework of linear spaces enables the adoption of well known linear methods.

KW - Image recognition

KW - Image registration

KW - Multidimensional signal processing

KW - Nonlinear estimation

KW - Parameter estimation

UR - http://www.scopus.com/inward/record.url?scp=56149103523&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:56149103523

SN - 9780889866751

T3 - Proceedings of the 9th IASTED International Conference on Signal and Image Processing, SIP 2007

SP - 517

EP - 521

BT - Proceedings of the 9th IASTED International Conference on Signal and Image Processing, SIP 2007

T2 - 9th IASTED International Conference on Signal and Image Processing, SIP 2007

Y2 - 20 August 2007 through 22 August 2007

ER -