Constriction

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Mohamed Daoudi - One of the best experts on this subject based on the ideXlab platform.

  • Enhancing 3D Mesh Topological Skeletons with Discrete Contour Constrictions
    Visual Computer, 2008
    Co-Authors: Julien Tierny, Jean-philippe Vandeborre, Mohamed Daoudi
    Abstract:

    This paper describes a unified and fully automatic algorithm for Reeb graph construction and simplification as well as Constriction approximation on triangulated surfaces. The key idea of the algorithm is that discrete contours - curves carried by the edges of the mesh and approximating the continuous contours of a mapping function - encode both topological and geometrical shape characteristics. Therefore, a new concise shape representation, enhanced topological skeletons, is proposed, encoding contours' topological and geometrical evolution. Firstly, mesh feature points are computed. Then they are used as geodesic origins for the computation of an invariant mapping function that reveals the shape most significant features. Secondly, for each vertex in the mesh, its discrete contour is computed. As the set of discrete contours recovers the whole surface, each of them can be analyzed, both to detect topological changes and Constrictions. Constriction approximations enable Reeb graphs refinement into more visually meaningful skeletons, that we refer as enhanced topological skeletons. Extensive experiments showed that, without preprocessing stage, proposed algorithms are fast in practice, affine-invariant and robust to a variety of surface degradations (surface noise, mesh sampling and model pose variations). These properties make enhanced topological skeletons interesting shape abstractions for many computer graphics applications.

  • Enhancing 3D mesh topological skeletons with discrete contour Constrictions
    The Visual Computer, 2008
    Co-Authors: Julien Tierny, Jean-philippe Vandeborre, Mohamed Daoudi
    Abstract:

    This paper describes a unified and fully automatic algorithm for Reeb graph construction and simplification as well as Constriction approximation on triangulated surfaces. The key idea of the algorithm is that discrete contours – curves carried by the edges of the mesh and approximating the continuous contours of a mapping function – encode both topological and geometrical shape characteristics. Therefore, a new concise shape representation, enhanced topological skeletons , is proposed, encoding the contours’ topological and geometrical evolution. First, mesh feature points are computed. Then they are used as geodesic origins for the computation of an invariant mapping function that reveals the shape most significant features. Next, for each vertex in the mesh, its discrete contour is computed. As the set of discrete contours recovers the whole surface, each of them can be analyzed, both to detect topological changes and Constrictions. Constriction approximations enable Reeb graphs refinement into more visually meaningful skeletons, which we refer to as enhanced topological skeletons . Extensive experiments showed that, without any preprocessing stage, proposed algorithms are fast in practice, affine-invariant and robust to a variety of surface degradations (surface noise, mesh sampling and model pose variations). These properties make enhanced topological skeletons interesting shape abstractions for many computer graphics applications.

  • 3D Mesh Skeleton Extraction Using Topological and Geometrical Analyses
    Pacific Conference on Computer Graphics and Applications (Pacific Graphics), 2006
    Co-Authors: Julien Tierny, Jean-philippe Vandeborre, Mohamed Daoudi
    Abstract:

    This paper describes a novel and unified approach for Reeb graph construction and simplification as well as Constriction approximation on 3D polygonal meshes. The key idea of our algorithm is that discrete contours - curves carried by the edges of the mesh and approximating the continuous contours of a mapping function - encode both topological and geometrical shape characteristics. Firstly, mesh feature points are computed. Then they are used as geodesic origins for the computation of an invariant mapping function that reveals the shape most significant features. Secondly, for each vertex in the mesh, its discrete contour is computed. As the set of discrete contours recovers the whole surface, each of them can be analyzed, both to detect topological changes or Constrictions. Constriction approximations enable Reeb graphs refinement into more visually meaningful skeletons, that we refer as enhanced topological skeletons. Without pre-processing stages and without input parameters, our method provides nice-looking and affine- invariant skeletons, with satisfactory execution times. This makes enhanced topological skeletons good candidates for applications needing high level shape representations, such as mesh deformation (experimented in this paper), retrieval, compression, metamorphosis, etc.

Charlotte Bessiere Pacurar - One of the best experts on this subject based on the ideXlab platform.

  • behaviour of a large bubble flowing through a sudden Constriction between a cylindrical pipe and a rectangular cross section channel
    Chemical Engineering Research & Design, 2011
    Co-Authors: Charlotte Bessiere Pacurar, Christelle Guigui, Alain Line, Annie Tazipain
    Abstract:

    Abstract The behaviour of a single large bubble flowing through a sudden Constriction between a cylindrical pipe and a channel of rectangular cross section is studied experimentally. Two types of Constrictions are considered: an abrupt one and a smooth one. Image analysis displays the deformation of the large bubble generated in the upstream vertical pipe and flowing through each kind of Constriction. Image processing allows an estimate to be made of the velocity of Dumitrescu bubbles upstream of the Constriction and the velocity of a 2D cap bubble flowing downstream of the Constriction in a rectangular-cross-section channel. When the large bubble flows through a Constriction, its behaviour can be considered in two steps: a first step corresponding to the disengagement of the large bubble and a second step corresponding to its transient behaviour after detachment. In terms of disengagement, an abrupt Constriction induces systematic break-up of the large bubble whereas, with a smooth Constriction, the large bubble undergoes strong deformations but does not break up. After detachment, large bubbles relax in a similar way and their velocities tend towards the terminal velocity of the 2D cap bubble.

Alain Line - One of the best experts on this subject based on the ideXlab platform.

  • behaviour of a large bubble flowing through a sudden Constriction between a cylindrical pipe and a rectangular cross section channel
    Chemical Engineering Research & Design, 2011
    Co-Authors: Charlotte Bessiere Pacurar, Christelle Guigui, Alain Line, Annie Tazipain
    Abstract:

    Abstract The behaviour of a single large bubble flowing through a sudden Constriction between a cylindrical pipe and a channel of rectangular cross section is studied experimentally. Two types of Constrictions are considered: an abrupt one and a smooth one. Image analysis displays the deformation of the large bubble generated in the upstream vertical pipe and flowing through each kind of Constriction. Image processing allows an estimate to be made of the velocity of Dumitrescu bubbles upstream of the Constriction and the velocity of a 2D cap bubble flowing downstream of the Constriction in a rectangular-cross-section channel. When the large bubble flows through a Constriction, its behaviour can be considered in two steps: a first step corresponding to the disengagement of the large bubble and a second step corresponding to its transient behaviour after detachment. In terms of disengagement, an abrupt Constriction induces systematic break-up of the large bubble whereas, with a smooth Constriction, the large bubble undergoes strong deformations but does not break up. After detachment, large bubbles relax in a similar way and their velocities tend towards the terminal velocity of the 2D cap bubble.

  • Behaviour of a large bubble flowing through a sudden Constriction between a cylindrical pipe and a rectangular cross section channel
    Chemical Engineering Research and Design, 2011
    Co-Authors: Charlotte Bessière, Christelle Guigui, Alain Line, Annie Tazi-pain
    Abstract:

    The behaviour of a single large bubble flowing through a sudden Constriction between a cylindrical pipe and a channel of rectangular cross section is studied experimentally. Two types of Constrictions are considered: an abrupt one and a smooth one. Image analysis displays the deformation of the large bubble generated in the upstream vertical pipe and flowing through each kind of Constriction. Image processing allows an estimate to be made of the velocity of Dumitrescu bubbles upstream of the Constriction and the velocity of a 2D cap bubble flowing downstream of the Constriction in a rectangular-cross-section channel. When the large bubble flows through a Constriction, its behaviour can be considered in two steps: a first step corresponding to the disengagement of the large bubble and a second step corresponding to its transient behaviour after detachment. In terms of disengagement, an abrupt Constriction induces systematic break-up of the large bubble whereas, with a smooth Constriction, the large bubble undergoes strong deformations but does not break up. After detachment, large bubbles relax in a similar way and their velocities tend towards the terminal velocity of the 2D cap bubble. (C) 2010 The Institution of Chemical Engineers. Published by Elsevier B.V. All rights reserved.

Christelle Guigui - One of the best experts on this subject based on the ideXlab platform.

  • behaviour of a large bubble flowing through a sudden Constriction between a cylindrical pipe and a rectangular cross section channel
    Chemical Engineering Research & Design, 2011
    Co-Authors: Charlotte Bessiere Pacurar, Christelle Guigui, Alain Line, Annie Tazipain
    Abstract:

    Abstract The behaviour of a single large bubble flowing through a sudden Constriction between a cylindrical pipe and a channel of rectangular cross section is studied experimentally. Two types of Constrictions are considered: an abrupt one and a smooth one. Image analysis displays the deformation of the large bubble generated in the upstream vertical pipe and flowing through each kind of Constriction. Image processing allows an estimate to be made of the velocity of Dumitrescu bubbles upstream of the Constriction and the velocity of a 2D cap bubble flowing downstream of the Constriction in a rectangular-cross-section channel. When the large bubble flows through a Constriction, its behaviour can be considered in two steps: a first step corresponding to the disengagement of the large bubble and a second step corresponding to its transient behaviour after detachment. In terms of disengagement, an abrupt Constriction induces systematic break-up of the large bubble whereas, with a smooth Constriction, the large bubble undergoes strong deformations but does not break up. After detachment, large bubbles relax in a similar way and their velocities tend towards the terminal velocity of the 2D cap bubble.

  • Behaviour of a large bubble flowing through a sudden Constriction between a cylindrical pipe and a rectangular cross section channel
    Chemical Engineering Research and Design, 2011
    Co-Authors: Charlotte Bessière, Christelle Guigui, Alain Line, Annie Tazi-pain
    Abstract:

    The behaviour of a single large bubble flowing through a sudden Constriction between a cylindrical pipe and a channel of rectangular cross section is studied experimentally. Two types of Constrictions are considered: an abrupt one and a smooth one. Image analysis displays the deformation of the large bubble generated in the upstream vertical pipe and flowing through each kind of Constriction. Image processing allows an estimate to be made of the velocity of Dumitrescu bubbles upstream of the Constriction and the velocity of a 2D cap bubble flowing downstream of the Constriction in a rectangular-cross-section channel. When the large bubble flows through a Constriction, its behaviour can be considered in two steps: a first step corresponding to the disengagement of the large bubble and a second step corresponding to its transient behaviour after detachment. In terms of disengagement, an abrupt Constriction induces systematic break-up of the large bubble whereas, with a smooth Constriction, the large bubble undergoes strong deformations but does not break up. After detachment, large bubbles relax in a similar way and their velocities tend towards the terminal velocity of the 2D cap bubble. (C) 2010 The Institution of Chemical Engineers. Published by Elsevier B.V. All rights reserved.

Julien Tierny - One of the best experts on this subject based on the ideXlab platform.

  • Enhancing 3D Mesh Topological Skeletons with Discrete Contour Constrictions
    Visual Computer, 2008
    Co-Authors: Julien Tierny, Jean-philippe Vandeborre, Mohamed Daoudi
    Abstract:

    This paper describes a unified and fully automatic algorithm for Reeb graph construction and simplification as well as Constriction approximation on triangulated surfaces. The key idea of the algorithm is that discrete contours - curves carried by the edges of the mesh and approximating the continuous contours of a mapping function - encode both topological and geometrical shape characteristics. Therefore, a new concise shape representation, enhanced topological skeletons, is proposed, encoding contours' topological and geometrical evolution. Firstly, mesh feature points are computed. Then they are used as geodesic origins for the computation of an invariant mapping function that reveals the shape most significant features. Secondly, for each vertex in the mesh, its discrete contour is computed. As the set of discrete contours recovers the whole surface, each of them can be analyzed, both to detect topological changes and Constrictions. Constriction approximations enable Reeb graphs refinement into more visually meaningful skeletons, that we refer as enhanced topological skeletons. Extensive experiments showed that, without preprocessing stage, proposed algorithms are fast in practice, affine-invariant and robust to a variety of surface degradations (surface noise, mesh sampling and model pose variations). These properties make enhanced topological skeletons interesting shape abstractions for many computer graphics applications.

  • Enhancing 3D mesh topological skeletons with discrete contour Constrictions
    The Visual Computer, 2008
    Co-Authors: Julien Tierny, Jean-philippe Vandeborre, Mohamed Daoudi
    Abstract:

    This paper describes a unified and fully automatic algorithm for Reeb graph construction and simplification as well as Constriction approximation on triangulated surfaces. The key idea of the algorithm is that discrete contours – curves carried by the edges of the mesh and approximating the continuous contours of a mapping function – encode both topological and geometrical shape characteristics. Therefore, a new concise shape representation, enhanced topological skeletons , is proposed, encoding the contours’ topological and geometrical evolution. First, mesh feature points are computed. Then they are used as geodesic origins for the computation of an invariant mapping function that reveals the shape most significant features. Next, for each vertex in the mesh, its discrete contour is computed. As the set of discrete contours recovers the whole surface, each of them can be analyzed, both to detect topological changes and Constrictions. Constriction approximations enable Reeb graphs refinement into more visually meaningful skeletons, which we refer to as enhanced topological skeletons . Extensive experiments showed that, without any preprocessing stage, proposed algorithms are fast in practice, affine-invariant and robust to a variety of surface degradations (surface noise, mesh sampling and model pose variations). These properties make enhanced topological skeletons interesting shape abstractions for many computer graphics applications.

  • 3D Mesh Skeleton Extraction Using Topological and Geometrical Analyses
    Pacific Conference on Computer Graphics and Applications (Pacific Graphics), 2006
    Co-Authors: Julien Tierny, Jean-philippe Vandeborre, Mohamed Daoudi
    Abstract:

    This paper describes a novel and unified approach for Reeb graph construction and simplification as well as Constriction approximation on 3D polygonal meshes. The key idea of our algorithm is that discrete contours - curves carried by the edges of the mesh and approximating the continuous contours of a mapping function - encode both topological and geometrical shape characteristics. Firstly, mesh feature points are computed. Then they are used as geodesic origins for the computation of an invariant mapping function that reveals the shape most significant features. Secondly, for each vertex in the mesh, its discrete contour is computed. As the set of discrete contours recovers the whole surface, each of them can be analyzed, both to detect topological changes or Constrictions. Constriction approximations enable Reeb graphs refinement into more visually meaningful skeletons, that we refer as enhanced topological skeletons. Without pre-processing stages and without input parameters, our method provides nice-looking and affine- invariant skeletons, with satisfactory execution times. This makes enhanced topological skeletons good candidates for applications needing high level shape representations, such as mesh deformation (experimented in this paper), retrieval, compression, metamorphosis, etc.