TY - GEN

T1 - Estimation of orientation and affine transformations of a 3-dimensional object

AU - Shallom, Ram

AU - Hagege, Rami

AU - Francos, Joseph M.

PY - 2007/12/1

Y1 - 2007/12/1

N2 - We consider the general problem of jointly estimating the orientation and deformations of a 3-dimensional object based on a finite set of known templates, and a single observation. The observation is obtained by projecting the object onto a plane (the observation plane) whose location relative to the object is a-priori unknown. We propose a method that formulates the original problem as an equivalent problem of analyzing a set of polynomials in a low dimensional space. In this setting, the procedure for estimating the orientation may be formulated as an iterative algorithm for deriving a maximal ideal in the minimal polynomial ring containing the above mentioned polynomial set. Once the orientation of the observation plane relative to the object has been estimated, the deformation parameters are recovered by solving a system of linear equations.

AB - We consider the general problem of jointly estimating the orientation and deformations of a 3-dimensional object based on a finite set of known templates, and a single observation. The observation is obtained by projecting the object onto a plane (the observation plane) whose location relative to the object is a-priori unknown. We propose a method that formulates the original problem as an equivalent problem of analyzing a set of polynomials in a low dimensional space. In this setting, the procedure for estimating the orientation may be formulated as an iterative algorithm for deriving a maximal ideal in the minimal polynomial ring containing the above mentioned polynomial set. Once the orientation of the observation plane relative to the object has been estimated, the deformation parameters are recovered by solving a system of linear equations.

KW - Computer vision

KW - Image registration

KW - Multidimensional signal processing

KW - Nonlinear estimation

KW - Parameter estimation

UR - http://www.scopus.com/inward/record.url?scp=56149106428&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:56149106428

SN - 9780889866751

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

SP - 386

EP - 390

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 -