Decoupled linear estimation of affine geometric deformations and nonlinear intensity transformations of images

Shahar Z. Kovalsky; Guy Cohen; Rami Hagege; Joseph M. Francos

doi:10.1109/TPAMI.2010.22

Decoupled linear estimation of affine geometric deformations and nonlinear intensity transformations of images

Shahar Z. Kovalsky, Guy Cohen, Rami Hagege, Joseph M. Francos

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We consider the problem of registering two observations on an arbitrary object, where the two are related by a geometric affine transformation of their coordinate systems, and by a nonlinear mapping of their intensities. More generally, the framework is that of jointly estimating the geometric and radiometric deformations relating two observations on the same object. We show that the original high-dimensional, nonlinear, and nonconvex search problem of simultaneously recovering the geometric and radiometric deformations can be represented by an equivalent sequence of two linear systems. A solution of this sequence yields an exact, explicit, and efficient solution to the joint estimation problem.

Original language	English
Article number	5396338
Pages (from-to)	940-946
Number of pages	7
Journal	IEEE Transactions on Pattern Analysis and Machine Intelligence
Volume	32
Issue number	5
DOIs	https://doi.org/10.1109/TPAMI.2010.22
State	Published - 19 Mar 2010

Keywords

Affine transformations
Domain registration
Image registration
Linear estimation
Nonlinear range registration
Parameter estimation

ASJC Scopus subject areas

Software
Computer Vision and Pattern Recognition
Computational Theory and Mathematics
Artificial Intelligence
Applied Mathematics

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10.1109/TPAMI.2010.22

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abstract = "We consider the problem of registering two observations on an arbitrary object, where the two are related by a geometric affine transformation of their coordinate systems, and by a nonlinear mapping of their intensities. More generally, the framework is that of jointly estimating the geometric and radiometric deformations relating two observations on the same object. We show that the original high-dimensional, nonlinear, and nonconvex search problem of simultaneously recovering the geometric and radiometric deformations can be represented by an equivalent sequence of two linear systems. A solution of this sequence yields an exact, explicit, and efficient solution to the joint estimation problem.",

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AU - Kovalsky, Shahar Z.

AU - Cohen, Guy

AU - Hagege, Rami

AU - Francos, Joseph M.

PY - 2010/3/19

Y1 - 2010/3/19

N2 - We consider the problem of registering two observations on an arbitrary object, where the two are related by a geometric affine transformation of their coordinate systems, and by a nonlinear mapping of their intensities. More generally, the framework is that of jointly estimating the geometric and radiometric deformations relating two observations on the same object. We show that the original high-dimensional, nonlinear, and nonconvex search problem of simultaneously recovering the geometric and radiometric deformations can be represented by an equivalent sequence of two linear systems. A solution of this sequence yields an exact, explicit, and efficient solution to the joint estimation problem.

AB - We consider the problem of registering two observations on an arbitrary object, where the two are related by a geometric affine transformation of their coordinate systems, and by a nonlinear mapping of their intensities. More generally, the framework is that of jointly estimating the geometric and radiometric deformations relating two observations on the same object. We show that the original high-dimensional, nonlinear, and nonconvex search problem of simultaneously recovering the geometric and radiometric deformations can be represented by an equivalent sequence of two linear systems. A solution of this sequence yields an exact, explicit, and efficient solution to the joint estimation problem.

KW - Affine transformations

KW - Domain registration

KW - Image registration

KW - Linear estimation

KW - Nonlinear range registration

KW - Parameter estimation

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SN - 0162-8828

VL - 32

SP - 940

EP - 946

JO - IEEE Transactions on Pattern Analysis and Machine Intelligence

JF - IEEE Transactions on Pattern Analysis and Machine Intelligence

IS - 5

M1 - 5396338

ER -

Decoupled linear estimation of affine geometric deformations and nonlinear intensity transformations of images

Abstract

Keywords

ASJC Scopus subject areas

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