Iconic feature based nonrigid registration: the PASHA algorithm

Cachier, Pascal; Bardinet, Éric; Dormont, Didier; Pennec, Xavier; Ayache, Nicholas

doi:10.1016/s1077-3142(03)00002-x

Cited by 211 publications

(190 citation statements)

References 43 publications

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“…This results in a computationally efficient algorithm compared to other non-rigid registration procedures such as those based on linear elasticity (Christensen et al, 1997). Several teams (Bro-Nielsen and Gramkov, 1996;Cachier et al, 2003;Modersitzki, 2004;Pennec et al, 1999) have worked towards providing a theoretical framework for the demons in order to understand and potentially modify the underlying assumptions.…”

Section: An Insight Into the Demons Algorithmmentioning

confidence: 99%

“…Our approach could also be extended to other intensity relationships by borrowing ideas from (Avants et al, 2008;Cachier et al, 2003;Hermosillo et al, 2002). A simple optimization of (1) over the space of non-parametric transformations leads to an ill-posed problem with unstable and non-smooth solutions.…”

Section: A Deeper Understanding Of the Alternate Optimization Of The mentioning

confidence: 99%

“…In order to cast the demons algorithm into a minimization of a well posed criterion, it was proposed in (Cachier et al, 2003) to introduce a hidden variable in the registration process: correspondences. The idea is to consider the regularization criterion as a prior on the smoothness of the transformation s. Instead of requiring that point correspondences between image pixels, a non-parametric spatial transformation c, be exact realizations of the spatial transformation s, one allows some error at each image point.…”

Section: A Deeper Understanding Of the Alternate Optimization Of The mentioning

confidence: 99%

“…We classically have dist (s, c) = c − s and Reg (s) = ∇s 2 but the regularization can, for example, also be modified to address fluid-like constraints (Cachier et al, 2003). The interest of this auxiliary variable is that an alternate optimization over c and s decouples the complex minimization into simple and very efficient steps.…”

Section: A Deeper Understanding Of the Alternate Optimization Of The mentioning

confidence: 99%

“…In (Wang et al, 2005;Rogelj and Kovačič, 2006) an ad hoc symmetrization of the demons forces similar to the one proposed by Thirion was shown to improve the results of the original demons algorithm. In (Pennec et al, 1999;Cachier et al, 2003;Modersitzki, 2004), it has been shown that the demons algorithm had connections with gradient descent and variational schemes. However, to the best of our knowledge, the different variants of the demons have not been given a strong unified theoretical justification.…”

Section: Introductionmentioning

confidence: 99%

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Diffeomorphic demons: Efficient non-parametric image registration

et al. 2009

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We propose an efficient non-parametric diffeomorphic image registration algorithm based on Thirion's demons algorithm. In the first part of this paper, we show that Thirion's demons algorithm can be seen as an optimization procedure on the entire space of displacement fields. We provide strong theoretical roots to the different variants of Thirion's demons algorithm. This analysis predicts a theoretical advantage for the symmetric forces variant of the demons algorithm. We show on controlled experiments that this advantage is confirmed in practice and yields a faster convergence. In the second part of this paper, we adapt the optimization procedure underlying the demons algorithm to a space of diffeomorphic transformations. In contrast to many diffeomorphic registration algorithms, our solution is computationally efficient since in practice it only replaces an addition of displacement fields by a few compositions. Our experiments show that in addition to being diffeomorphic, our algorithm provides results that are similar to the ones from the demons algorithm but with transformations that are much smoother and closer to the gold standard, available in controlled experiments, in terms of Jacobians.

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Section: An Insight Into the Demons Algorithmmentioning

confidence: 99%

Section: A Deeper Understanding Of the Alternate Optimization Of The mentioning

confidence: 99%

Section: A Deeper Understanding Of the Alternate Optimization Of The mentioning

confidence: 99%

Section: A Deeper Understanding Of the Alternate Optimization Of The mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Diffeomorphic demons: Efficient non-parametric image registration

et al. 2009

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Medical Image Registration Measures

Argyriou

Rincón

Villarini

et al. 2015

Image, Video &Amp; 3D Data Registration

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Influence of the Lost Foam Casting Microstructure on Low Cycle Fatigue Damage of A319 Aluminum Alloy

Dahdah¹,

Limodin²,

Bartali³

et al. 2014

2nd International Congress on 3D Materials Science

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In cast aluminum alloys used in the automotive industry the microstructure inherited from the foundry process has a strong influence upon the fatigue behavior. In the cylinder heads produced by the Lost Foam Casting process, the microstructure consists of hard intermetallic phases and large gas and microshrinkage pores. In order to study the influence of this complex 3D microstructure on fatigue crack initiation and propagation, an experimental protocol using laboratory and synchrotron tomography, Finite Element simulation and 3D Digital Volume Correlation has been used. Full field measurements at the microstructure scale were performed during a low cycle fatigue test at room temperature performed in situ under synchrotron X-ray tomography (TOMCAT beamline, SLS). Synchrotron tomography allowed characterizing the eutectic Al-Al2Cu, iron based intermetallics phases and above all eutectic Si, which could not be distinguished with laboratory tomography; these constituents were proved a suitable natural speckle for Digital Volume Correlation. The 3D cracks were observed to initiate at large pores and then to propagate along the hard inclusions towards the free surface. The DVC of in-situ fatigue tests allows observing the relations between cracks and displacements discontinuities and strain localizations in measured field. The experimental protocol proposed will be further improved for a validation at a temperature characteristic of in-service conditions of cylinder heads (250°C).

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Iconic feature based nonrigid registration: the PASHA algorithm

Cited by 211 publications

References 43 publications

Diffeomorphic demons: Efficient non-parametric image registration

Diffeomorphic demons: Efficient non-parametric image registration

Medical Image Registration Measures

Influence of the Lost Foam Casting Microstructure on Low Cycle Fatigue Damage of A319 Aluminum Alloy

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