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Topology preserving deformable image matching using constrained hierarchical parametric models

O. Musse, F. Heitz, J.-P. Armspach
Proceedings 2000 International Conference on Image Processing (Cat. No.00CH37101)  
Index Terms-Deformable image matching, hierarchical parametric models, multiresolution deformation field modeling, topology preservation.  ...  A novel constrained hierarchical parametric approach is presented, that ensures that the mapping is globally one-to-one and thus preserves topology in the deformed image.  ...  HIERARCHICAL DEFORMABLE IMAGE MATCHING In [17] , we have introduced a hierarchical parametric modeling framework to perform fast nonrigid image matching.  ... 
doi:10.1109/icip.2000.901006 dblp:conf/icip/MusseHA00 fatcat:te3sewsc3ncg5e6elhnmk4t7me

A Topology Preserving Non-rigid Registration Method Using a Symmetric Similarity Function-Application to 3-D Brain Images [chapter]

Vincent Noblet, Christian Heinrich, Fabrice Heitz, Jean-Paul Armspach
2004 Lecture Notes in Computer Science  
This paper addresses these two issues in the context of a hierarchical parametric modeling of the mapping, based on B-spline functions.  ...  Topology preservation is ensured by constraining the Jacobian of the transformation to remain positive on the whole continuous domain of the image as a non trivial 3-D extension of a previous work [1]  ...  Our approach is based on a 3-D hierarchical parametric model of the deformation field using B-spline representations.  ... 
doi:10.1007/978-3-540-24672-5_43 fatcat:7aifni5surd2blliqzjhqgrfxq

Retrospective evaluation of a topology preserving non-rigid registration method

V. Noblet, C. Heinrich, F. Heitz, J.-P. Armspach
2006 Medical Image Analysis  
This paper proposes a comprehensive evaluation of a monomodal B-spline-based non-rigid registration algorithm allowing topology preservation in 3-D.  ...  The topology preserving B-spline-based method proved to outperform the commonly available ITK implementation of the demons algorithms on many points.  ...  The hierarchical parametric deformation model For details on the model or topology preservation enforcement, we refer the reader to [Noblet et al., 2005] .  ... 
doi:10.1016/j.media.2006.01.001 pmid:16497537 fatcat:dlja4p5wsvdjteiml6fqwn3tra

3-D deformable image registration: a topology preservation scheme based on hierarchical deformation models and interval analysis optimization

V. Noblet, C. Heinrich, F. Heitz, J.-P. Armspach
2005 IEEE Transactions on Image Processing  
This paper deals with topology preservation in three-dimensional (3-D) deformable image registration.  ...  In both cases, the deformation map is modeled as a hierarchical displacement field, decomposed on a multiresolution B-spline basis.  ...  This software has been used to achieve all formal computations related to this work.  ... 
doi:10.1109/tip.2005.846026 pmid:15887550 fatcat:qsu2n5fpyvaktij4j65ykyc5ji

Deformable Registration of Cortical Structures via Hybrid Volumetric and Surface Warping [chapter]

Tianming Liu, Dinggang Shen, Christos Davatzikos
2003 Lecture Notes in Computer Science  
This paper presents a method for deformable registration of cortical structures across individuals, using hybrid volumetric and surface warping.  ...  In the first step, a feature-based volumetric registration algorithm is used to warp a model cortical surface to the individual's space.  ...  Images were acquired as part of the neuroimaging study of the Baltimore Longitudinal Study of Aging (BLSA).  ... 
doi:10.1007/978-3-540-39903-2_95 fatcat:nloxqy6hv5e7fgufto6by2tjfa

Deformable registration of cortical structures via hybrid volumetric and surface warping

Tianming Liu, Dinggang Shen, Christos Davatzikos
2004 NeuroImage  
This paper presents a method for deformable registration of cortical structures across individuals, using hybrid volumetric and surface warping.  ...  In the first step, a feature-based volumetric registration algorithm is used to warp a model cortical surface to the individual's space.  ...  Images were acquired as part of the neuroimaging study of the Baltimore Longitudinal Study of Aging (BLSA).  ... 
doi:10.1016/j.neuroimage.2004.04.020 pmid:15275935 fatcat:aqihvle4nbdebj2bgtun2atdbq

A Spatially Adaptive Hierarchical Stochastic Model For Non-Rigid Image Registration

Evangelos Fotiou, Nikolas Galatsanos, Christophoros Nikou
2008 Zenodo  
Even when local minima are avoided, the transformation does not necessarily preserve the topology of the image data.  ...  Topology preserving mapping is required especially in inter-subject registration of medical images, since anatomical structures have the same topology for any individual.  ... 
doi:10.5281/zenodo.40878 fatcat:aedrepbddfb35fdur4gw6hrwxq

Deformable Medical Image Registration: A Survey

A. Sotiras, C. Davatzikos, N. Paragios
2013 IEEE Transactions on Medical Imaging  
Deformable image registration is a fundamental task in medical image processing.  ...  ; 2) longitudinal studies, where temporal structural or anatomical changes are investigated; and 3) population modeling and statistical atlases used to study normal anatomical variability.  ...  In order to account for large deformations, nonlinear elastic models have been proposed. These models also guarantee the preservation of topology. Rabbitt et al.  ... 
doi:10.1109/tmi.2013.2265603 pmid:23739795 pmcid:PMC3745275 fatcat:svbac4wihzhylmlntlodzrmple

Multiobject segmentation of brain structures in 3D MRI using a computerized atlas

Matthieu Ferrant, Olivier Cuisenaire, Benoit M. M. Macq, Kenneth M. Hanson
1999 Medical Imaging 1999: Image Processing  
As a refinement step, the globally registered atlas surfaces are locally deformed in a hierarchical way using multi-object active surfaces.  ...  We present a hierarchical multi-object surface-based deformable atlas for the automatic localization and identification of brain structures in MR images.  ...  The multi-object model built from the atlas is useful to preserve the spatial relationship between neighboring structures while the atlas deforms.  ... 
doi:10.1117/12.348491 dblp:conf/miip/FerrantCM99 fatcat:wilzlevw3fhd7gtekfh4l6dgxu

Regularity-guaranteed transformation estimation in medical image registration

Bibo Shi, Jundong Liu, David R. Haynor, Sébastien Ourselin
2012 Medical Imaging 2012: Image Processing  
The equality constrained optimization problem is efficiently solved using the augmented Lagrangian Mulplier method.  ...  Experiments on human brain MR images are presented to show the improvements made by our model over the popular Demon's and DCT-based registration algorithms.  ...  model based on B-spline basis functions, which ensures a topology-preserving deformable mapping in both 2D and 3D space.  ... 
doi:10.1117/12.911083 dblp:conf/miip/ShiL12 fatcat:pgftexe7c5bdzbnubdluivyc5e

Deformable 3D Reconstruction with an Object Database

Pablo Alcantarilla, Adrien Bartoli
2012 Procedings of the British Machine Vision Conference 2012  
It uses object recognition to automatically discover what objects are visible in the input image and to select the appropriate templates for deformable 3D reconstruction.  ...  Deformable 3D reconstruction from 2D images requires prior knowledge on the scene structure.  ...  This algorithm performs wide-baseline feature matching between a template image P O i and an input image I q estimating a parametric warp that represents the image deformation model.  ... 
doi:10.5244/c.26.133 dblp:conf/bmvc/AlcantarillaB12 fatcat:wxx4g2vrubg6ti5h63tgt2rmce

CONSTRAINT MODELING FOR CURVES AND SURFACES IN CAGD: A SURVEY

VINCENT CHEUTET, MARC DANIEL, STEFANIE HAHMANN, RAPHAEL LA GRECA, JEAN-CLAUDE LEON, ROBERT MACULET, DAVID MENEGAUX, BASILE SAUVAGE
2007 International journal of shape modeling  
A synthesis of these techniques and our current studies allows us to suggest a classification of the different constraints which ought to be taken into account in a constraint based modeling CAGD software  ...  Designing product shapes using geometric operations on free-form curves and surfaces is still a tedious task.  ...  Acknowledgments All the authors are members of the french research group "Geometric Modeling", part of the GDR CNRS ALP.  ... 
doi:10.1142/s0218654307000993 fatcat:ut24ngjdjrb7tp2isy7f4d5vsu

Deformable models in medical image analysis: a survey

Tim McInerney, Demetri Terzopoulos
1996 Medical Image Analysis  
This article surveys deformable models, a promising and vigorously researched computer-assisted medical image analysis technique.  ...  Among model-based techniques, deformable models offer a unique and powerful approach to image analysis that combines geometry, physics, and approximation theory.  ...  Acknowledgements We would like to thank Stephanie Sandor and Richard Leahy of the USC Signal and Image Processing Institute for the deformable brain atlas figure, as well as the following individuals for  ... 
doi:10.1016/s1361-8415(96)80007-7 pmid:9873923 fatcat:pb3ros6vcbdhte4ifj7xnbqnfe

Detail-replicating shape stretching

Ibraheem Alhashim, Hao Zhang, Ligang Liu
2011 The Visual Computer  
The method produces high quality outputs due to the process used to randomly find good patch matches that preserve image coherence.  ...  The method represent the input by a hierarchical distance field allowing for more efficient matching between target and input field.  ...  Model Base ( Appendix A Mesh Smoothing The general idea behind mesh smoothing is to reduce noise in a mesh through a diffusion process.  ... 
doi:10.1007/s00371-011-0665-9 fatcat:6bjint634zgwlg3uetvnqo6sxq

Hierarchical Isosurface Segmentation Based on Discrete Curvature [article]

Fabien Vivodtzev, Lars Linsen, Georges-Pierre Bonneau, Bernd Hamann, Kenneth I. Joy, Bruno A. Olshausen
2003 EUROVIS 2005: Eurographics / IEEE VGTC Symposium on Visualization  
The hierarchical segmentation framework can be used for brainmapping purposes.  ...  A high-level approach to describe the characteristics of a surface is to segment it into regions of uniform curvature behavior and construct an abstract representation given by a (topology) graph.  ...  Deformable models were introduced as a means to deal with the high complexity of the brain surface by providing atlases that can be elastically deformed to match a patient brain.  ... 
doi:10.2312/vissym/vissym03/249-258 fatcat:aq3vqyxy2bf6rfzgyrox4diy5y
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