Shape Modelling Using Markov Random Field Restoration of Point Correspondences

Paulsen, Rasmus Reinhold; Hilger, Klaus Baggesen

doi:10.1007/978-3-540-45087-0_1

Cited by 37 publications

(33 citation statements)

References 20 publications

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“…Thin-plate spline (TPS) deformation is a landmark-based elastic method routinely used for medical image registration [19]. TPS functions as a 3D warp that transforms n points to exactly n corresponding points.…”

Section: Methodsmentioning

confidence: 99%

Morphometric analysis of anatomical implant forms for minimally invasive acetabular fracture osteosynthesis

Maier

Kamer

Noser

et al. 2012

Computer Aided Surgery

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Introduction: Anatomical implants enable minimally invasive osteosynthesis (MIO) and represent ideal complements of computer-assisted surgical workflows. This 3D morphometric study analyzes anatomical implant forms (AIF) for acetabular fracture osteosynthesis (AFO). Materials and Methods: Three-dimensional pelvis models were created from clinical CT data of 99 European-Caucasian patients (50 females, 49 males). The mean age of the patients was 60.1 years (range: 20-89; SD 10.8). Definition of a referential region of interest (ROI) corresponding to an AIF for AFO was followed by automated ROI computation for each of the 198 hemipelvises. Three-dimensional statistical modeling and analysis of the resulting 198 homologous ROIs consisted of thin-plate spline transformation, generalized Procrustes fit, and principal component analysis. Results: The mean ROI length was 18.2 cm (range: 16.1-20.1 cm; SD 0.76). The first principal component (PC1) mainly modeled the ROI length, which correlated well with body height (r ¼ 0.325; p < 0.001). PC1 comprised 47.4% of the overall ROI form variation. PC2 primarily influenced the ROI curvature in the anterior-posterior (inlet) view. Curvatures were more pronounced in female patients compared to males (p < 0.001). There was no gender-specific ROI size variation. PC1-4 contained 80.2% of the total ROI form variation. Left and right ROI forms displayed symmetry. Conclusion: This 3D morphometric study demonstrates the feasibility of anatomical implants for minimally invasive acetabular fracture osteosynthesis. Implant size/length is by far the most important variable of form variation. The necessity of gender-specific implant forms requires further investigation. The non-fractured, contralateral hemipelvis can be used for preoperative surgical planning. Ultimately, the plate design will depend on prospective implant fit tests based on the required fit as defined by the clinician.

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Section: Methodsmentioning

confidence: 99%

Morphometric analysis of anatomical implant forms for minimally invasive acetabular fracture osteosynthesis

Maier

Kamer

Noser

et al. 2012

Computer Aided Surgery

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“…These models are similar to the ones we propose. Recently, a method to regularize 3D vector fields has been described in [17]. The vector fields are constructed as correspondences between two meshes, and the MRF regularization is used in an alignment framework.…”

Section: Related Workmentioning

confidence: 99%

Markov Random Field Surface Reconstruction

Paulsen

Bærentzen

Larsen

2010

IEEE Trans. Visual. Comput. Graphics

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Abstract-A method for implicit surface reconstruction is proposed. The novelty in this paper is the adaption of Markov Random Field regularization of a distance field. The Markov Random Field formulation allows us to integrate both knowledge about the type of surface we wish to reconstruct (the prior) and knowledge about data (the observation model) in an orthogonal fashion. Local models that account for both scene-specific knowledge and physical properties of the scanning device are described. Furthermore, how the optimal distance field can be computed is demonstrated using conjugate gradients, sparse Cholesky factorization, and a multiscale iterative optimization scheme. The method is demonstrated on a set of scanned human heads and, both in terms of accuracy and the ability to close holes, the proposed method is shown to have similar or superior performance when compared to current state-of-the-art algorithms.

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“…Applying a Markov random field (MRF) restoration we obtain a dense, continuous, invertible registration field (i.e. a homeomorphism) [15]. The stochastic restoration acts as a relaxation on the TPS constrained model mesh with respect to the biological landmarks.…”

Section: Markov Random Field Correspondencesmentioning

confidence: 99%

Some Issues of Biological Shape Modelling with Applications

et al. 2003

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Abstract. This paper illustrates current research at Informatics and Mathematical Modelling at the Technical University of Denmark within biological shape modelling. We illustrate a series of generalizations to, modifications to, and applications of the elements of constructing models of shape or appearance. These elements are correspondence analysis, analysis and decomposition of variability, alignment, and visualisation.

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Shape Modelling Using Markov Random Field Restoration of Point Correspondences

Cited by 37 publications

References 20 publications

Morphometric analysis of anatomical implant forms for minimally invasive acetabular fracture osteosynthesis

Morphometric analysis of anatomical implant forms for minimally invasive acetabular fracture osteosynthesis

Markov Random Field Surface Reconstruction

Some Issues of Biological Shape Modelling with Applications

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