Topology preservation and regularity in estimated deformation fields.

Bilge Karaçali, Christos Davatzikos

Research output: Contribution to journalArticle

Abstract

A general formalism to impose topology preserving regularity on a given irregular deformation field is presented. The topology preservation conditions are derived with regard to the discrete approximations to the deformation field Jacobian in a two-dimensional image registration problem. The problem of enforcing topology preservation onto a given deformation field is formulated in terms of the deformation gradients, and solved using a cyclic projections approach. The generalization of the developed algorithm leads to a deformation field regularity control by limiting the per voxel volumetric change within a prescribed interval. Extension of the topology preservation conditions onto a three-dimensional registration problem is also presented, together with a comparative analysis of the proposed algorithm with respect to a Gaussian regularizer that enforces the same topology preservation conditions.

Original languageEnglish (US)
Pages (from-to)426-437
Number of pages12
JournalInformation processing in medical imaging : proceedings of the ... conference
Volume18
StatePublished - 2003
Externally publishedYes

Cite this

Topology preservation and regularity in estimated deformation fields. / Karaçali, Bilge; Davatzikos, Christos.

In: Information processing in medical imaging : proceedings of the ... conference, Vol. 18, 2003, p. 426-437.

Research output: Contribution to journalArticle

@article{d7ba2e8548304d938454cfa21e864a33,
title = "Topology preservation and regularity in estimated deformation fields.",
abstract = "A general formalism to impose topology preserving regularity on a given irregular deformation field is presented. The topology preservation conditions are derived with regard to the discrete approximations to the deformation field Jacobian in a two-dimensional image registration problem. The problem of enforcing topology preservation onto a given deformation field is formulated in terms of the deformation gradients, and solved using a cyclic projections approach. The generalization of the developed algorithm leads to a deformation field regularity control by limiting the per voxel volumetric change within a prescribed interval. Extension of the topology preservation conditions onto a three-dimensional registration problem is also presented, together with a comparative analysis of the proposed algorithm with respect to a Gaussian regularizer that enforces the same topology preservation conditions.",
author = "Bilge Kara{\cc}ali and Christos Davatzikos",
year = "2003",
language = "English (US)",
volume = "18",
pages = "426--437",
journal = "Information processing in medical imaging : proceedings of the ... conference",
issn = "1011-2499",
publisher = "Springer Verlag",

}

TY - JOUR

T1 - Topology preservation and regularity in estimated deformation fields.

AU - Karaçali, Bilge

AU - Davatzikos, Christos

PY - 2003

Y1 - 2003

N2 - A general formalism to impose topology preserving regularity on a given irregular deformation field is presented. The topology preservation conditions are derived with regard to the discrete approximations to the deformation field Jacobian in a two-dimensional image registration problem. The problem of enforcing topology preservation onto a given deformation field is formulated in terms of the deformation gradients, and solved using a cyclic projections approach. The generalization of the developed algorithm leads to a deformation field regularity control by limiting the per voxel volumetric change within a prescribed interval. Extension of the topology preservation conditions onto a three-dimensional registration problem is also presented, together with a comparative analysis of the proposed algorithm with respect to a Gaussian regularizer that enforces the same topology preservation conditions.

AB - A general formalism to impose topology preserving regularity on a given irregular deformation field is presented. The topology preservation conditions are derived with regard to the discrete approximations to the deformation field Jacobian in a two-dimensional image registration problem. The problem of enforcing topology preservation onto a given deformation field is formulated in terms of the deformation gradients, and solved using a cyclic projections approach. The generalization of the developed algorithm leads to a deformation field regularity control by limiting the per voxel volumetric change within a prescribed interval. Extension of the topology preservation conditions onto a three-dimensional registration problem is also presented, together with a comparative analysis of the proposed algorithm with respect to a Gaussian regularizer that enforces the same topology preservation conditions.

UR - http://www.scopus.com/inward/record.url?scp=3242705133&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3242705133&partnerID=8YFLogxK

M3 - Article

VL - 18

SP - 426

EP - 437

JO - Information processing in medical imaging : proceedings of the ... conference

JF - Information processing in medical imaging : proceedings of the ... conference

SN - 1011-2499

ER -