Delaunay Deformable Models: Topology-Adaptive Meshes Based on the Restricted Delaunay Triangulation

Pons, Jean-Philippe; Boissonnat, Jean Daniel

doi:10.1109/cvpr.2007.383019

Cited by 45 publications

(35 citation statements)

References 49 publications

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“…Our partition model allows to mix energies defined on regions and energies defined on boundaries. Very few explicit or implicit variational or deformable models can do that in 3D, except perhaps the work of Pons and Boissonnat [34], but their approach may not model energies depending on the inclusion between regions.…”

Section: Discussionmentioning

confidence: 99%

Fully deformable 3D digital partition model with topological control

Damiand

Dupas

Lachaud

2011

Pattern Recognition Letters

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We propose a purely discrete deformable partition model for segmenting 3D images. Its main ability is to maintain the topology of the partition during the minimization process. To do so, our main contribution is a new definition of multi-label simple points (ML simple point) that is easily computable. An ML simple point can be relabeled without modifying the overall topology of the partition. The definition is based on intervoxel properties, and uses the notion of collapse on cubical complexes. This work is an extension of a former restricted definition [16] that prohibits the move of intersections of boundary surfaces. A deformation process is carried out with a greedy energy minimization algorithm. A discrete area estimator is used to approach at best standard regularizers classically used in continuous energy minimizing methods. We illustrate the potential of our approach with the segmentation of 3D medical images with known expected topology.

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Section: Discussionmentioning

confidence: 99%

Fully deformable 3D digital partition model with topological control

Damiand

Dupas

Lachaud

2011

Pattern Recognition Letters

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“…that project time-varying textures on the surface are rather difficult to apply on deformable surfaces. Passive techniques, such as conventional stereo or multicamera systems, are not biased by temporal variation, and they are more frequently applied for dynamic surfaces [1][2][3][4][5][6][7]. However, their accuracy is not sufficient to reconstruct small details, such as wrinkles and creases of garments.…”

Section: Motivationmentioning

confidence: 99%

“…We have selected one of the most popular members of this class, namely the Broyden-Fletcher-Goldfarb-Shanno (BFGS) method to optimise our energy functional (4). In our experiments we used the limited memory variant (L-BFGS) of the algorithm, included in the ALGLIB library implemented by Sergey Bochkanov [16].…”

Section: Optimisationmentioning

confidence: 99%

Colour Dynamic Photometric Stereo for Textured Surfaces

Jankó

Delaunoy

Prados

2011

Computer Vision – ACCV 2010

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Abstract. In this paper we present a novel method to apply photometric stereo on textured dynamic surfaces. We aim at exploiting the high accuracy of photometric stereo and reconstruct local surface orientation from illumination changes. The main difficulty derives from the fact that photometric stereo requires varying illumination while the object remains still, which makes it quite impractical to use for dynamic surfaces. Using coloured lights gives a clear solution to this problem; however, the system of equations is still ill-posed and it is ambiguous whether the change of an observed surface colour is due to the change of the surface gradient or of the surface reflectance. In order to separate surface orientation from reflectance, our method tracks texture changes over time and exploits surface reflectance's temporal constancy. This additional constraint allows us to reformulate the problem as an energy functional minimisation, solved by a standard quasi-Newton method. Our method is tested both on real and synthetic data, quantitatively evaluated and compared to a state-of-the-art method.

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“…Our partition model allows to mix energies defined on regions and energies defined on boundaries. To our knowledge, very few explicit or implicit variational or deformable models can do that in 3D, except perhaps the work of Pons and Boissonnat [20], but they may not model energies depending on the inclusion between regions.…”

Section: Introductionmentioning

confidence: 99%

Multi-Label Simple Points Definition for 3D Images Digital Deformable Model

Dupas

Damiand

Lachaud

2009

Discrete Geometry for Computer Imagery

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Abstract. The main contribution of this paper is the definition of multilabel simple points that ensures that the partition topology remains invariant during a deformable partition process. The definition is based on simple intervoxel properties and is easy to implement. A deformation process is carried out with a greedy energy minimization algorithm. A discrete area estimator is used to approach at best standard regularizers classically used in continuous energy minimizing methods. The effectiveness of our approach is shown on several 3D image segmentations.

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Delaunay Deformable Models: Topology-Adaptive Meshes Based on the Restricted Delaunay Triangulation

Cited by 45 publications

References 49 publications

Fully deformable 3D digital partition model with topological control

Fully deformable 3D digital partition model with topological control

Colour Dynamic Photometric Stereo for Textured Surfaces

Multi-Label Simple Points Definition for 3D Images Digital Deformable Model

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