Approximating Thin-Plate Splines for Elastic Registration: Integration of Landmark Errors and Orientation Attributes

Rohr, Karl; Fornefett, Mike; Stiehl, H. Siegfried

doi:10.1007/3-540-48714-x_19

Cited by 45 publications

(34 citation statements)

References 17 publications

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“…The modified thin-plate spline formulation allowed segmented vertebral structures to be constrained to rigid deformations by setting the non-rigid component to 0. Similar work was done by Rohr [42], requiring only a few corresponding points instead of full segmentation of the rigid structures. These methods did not however register MRI and X-ray data, nor did they model the deformations that are due to differences in posture.…”

Section: Related Workmentioning

confidence: 93%

3D registration of MR and X-ray spine images using an articulated model

Harmouche

Cheriet

Labelle

et al. 2012

Computerized Medical Imaging and Graphics

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. "3D registration of MR and X-ray spine images using an articulated model. " Computerized Medical Imaging and Graphics, vol. 36, no. 5 (2012) : PrésentationCet article a été publié dans le journal : Computerised medical imaging and graphics (CMIG). Le but de cet article est de recaler les vertèbres extraites à partir d'images RM avec des vertèbres extraites à partir d'images RX pour des patients scoliotiques, en tenant compte des déformations non-rigides due au changement de posture entre ces deux modalités. À ces fins, une méthode de recalage à l'aide d'un modèle articulé est proposée. Cette méthode a été comparée avec un recalage rigide en calculant l'erreur sur des points de repère, ainsi qu'en calculant la différence entre l'angle de Cobb avant et après recalage. Une validation additionelle de la méthode de recalage présentée ici se trouve dans l'annexe A. Ce travail servira de première étape dans la fusion des images RM, RX et TP du tronc complet. Donc, cet article vérifie l'hypothèse 1 décrite dans la section 3.2.1. AbstractThis paper presents a magnetic resonance image (MRI)/X-ray spine registration method that compensates for the change in the curvature of the spine between standing and prone positions for scoliotic patients. MRIs in prone position and X-rays in standing position are acquired for 14 patients with scoliosis. The 3D reconstructions of the spine are then aligned using an articulated model which calculates intervertebral transformations. Results show significant decrease in registration error when the proposed articulated model is compared with rigid registration. The method can be used as a basis for full body MRI/X-ray registration incorporating soft tissues for surgical simulation.

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Section: Related Workmentioning

confidence: 93%

3D registration of MR and X-ray spine images using an articulated model

Harmouche

Cheriet

Labelle

et al. 2012

Computerized Medical Imaging and Graphics

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“…Standard boundary conditions (Dirichlet or Neumann) were associated to those different approaches. Basis functions defined on Thin plate splines (Duchon, 1977;Wahba, 1990) have been also intensively used in computer vision registration application (Arad et al, 1994;Bookstein, 1989) or for medical image applications (Rohr et al, 1999). The main problem of these methods consists to determine an adequate spatial subdivision of the image domain in terms of the basis functions, and to allow for strong discontinuities of the solution that are important in some applications of image sequence processing.…”

Section: Globalized Local Smoothing: Ritz Methodsmentioning

confidence: 99%

Variational fluid flow measurements from image sequences: synopsis and perspectives

2009

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Variational approaches to image motion segmentation has been an active field of study in image processing and computer vision for two decades. We present a short overview over basic estimation schemes and report in more detail recent modifications and applications to fluid flow estimation. Key properties of these approaches are illustrated by numerical examples. We outline promising research directions and point out the potential of variational techniques in combination with correlation-based PIV methods, for improving the consistency of fluid flow estimation and simulation.

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“…Following the scheme proposed by Rohr [18], we weigh each single least-squared term in (3) by a fitting-weight factor, the inverse variance 1/σ 2 a . If the variance is high, i.e.…”

Section: The G-rpm Algorithmmentioning

confidence: 99%

“…To solve the general form of eqn. (6), the solution to the original TPS [23] has been modified [18].…”

Section: Softassign Design and Non-rigid Mapping Choosingmentioning

confidence: 99%

Analysis of Left Ventricular Motion Using a General Robust Point Matching Algorithm

Lin

Papademetris

Sinusas

et al. 2003

Lecture Notes in Computer Science

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Abstract. In this paper we present a novel and fully automated approach for the estimation of non-rigid cardiac motion and deformation from sequences of three dimensional medical images. Our approach extends the robust point matching (RPM) algorithm to include shape-based information as inspired by our own previous work in this area. The resulting algorithm labeled as generalized robust point matching (G-RPM) is capable of accurately estimating left ventricular motion without the need of a prior, and often time-consuming, segmentation of the myocardium. We evaluate our approach on both synthetic data as well as using sequences of in-vivo cardiac magnetic resonance images. The approach can easily be adjusted for a number of applications to find the optimal non-rigid transformation.

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Approximating Thin-Plate Splines for Elastic Registration: Integration of Landmark Errors and Orientation Attributes

Cited by 45 publications

References 17 publications

3D registration of MR and X-ray spine images using an articulated model

3D registration of MR and X-ray spine images using an articulated model

Variational fluid flow measurements from image sequences: synopsis and perspectives

Analysis of Left Ventricular Motion Using a General Robust Point Matching Algorithm

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