David Cohen-steiner

Chazal, Frédéric, Cohen-Steiner, David, Mérigot, Quentin

We introduce the boundary measure at scale r of a compact subset of the n-dimensional Euclidean space. We show how it can be computed for point clouds and suggest these measures can be used for...

Chazal, Frédéric, Cohen-Steiner, David, Mérigot, Quentin

We introduce the boundary measure at scale r of a compact subset of the n-dimensional Euclidean space. We show how it can be computed for point clouds and suggest these measures can be used for...

Chazal, Frédéric, Cohen-Steiner, David, Mérigot, Quentin

We introduce the boundary measure at scale r of a compact subset of the n-dimensional Euclidean space. We show how it can be computed for point clouds and suggest these measures can be used for...

Normal Cone Approximation and Offset Shape Isotopy (2007)

Chazal, Frédéric, Cohen-Steiner, David, Lieutier, André

This work adresses the problem of the approximation of the normals of the offsets of general compact sets in euclidean spaces. It is proven that for general sampling conditions, it is possible to...

Normal Cone Approximation and Offset Shape Isotopy (2007)

Chazal, Frédéric, Cohen-Steiner, David, Lieutier, André

This work adresses the problem of the approximation of the normals of the offsets of general compact sets in euclidean spaces. It is proven that for general sampling conditions, it is possible to...

Normal Cone Approximation and Offset Shape Isotopy (2007)

Chazal, Frédéric, Cohen-Steiner, David, Lieutier, André

This work adresses the problem of the approximation of the normals of the offsets of general compact sets in euclidean spaces. It is proven that for general sampling conditions, it is possible to...

Normal Cone Approximation and Offset Shape Isotopy (2007)

Chazal, Frédéric, Cohen-Steiner, David, Lieutier, André

This work adresses the problem of the approximation of the normals of the offsets of general compact sets in euclidean spaces. It is proven that for general sampling conditions, it is possible to...

Chazal, Frédéric, Cohen-Steiner, David, Mérigot, Quentin

We introduce the boundary measure at scale r of a compact subset of the n-dimensional Euclidean space. We show how it can be computed for point clouds and suggest these measures can be used for...

Chazal, Frédéric, Cohen-Steiner, David, Mérigot, Quentin

We introduce the boundary measure at scale r of a compact subset of the n-dimensional Euclidean space. We show how it can be computed for point clouds and suggest these measures can be used for...

Effective Computational Geometry for Curves and Surfaces (2007)

Jean-daniel Boissonnat, David Cohen-steiner, Bernard Mourrain, Günter Rote, Gert Vegter

Meshing is the process of computing, for a given surface, a representation consisting of pieces of simple surface patches, like triangles. This survey discusses all currently known surface (and...

Effective Computational Geometry for Curves and Surfaces (2007)

Jean-daniel Boissonnat, David Cohen-steiner, Bernard Mourrain, Günter Rote, Gert Vegter

Meshing is the process of computing, for a given surface, a representation consisting of pieces of simple surface patches, like triangles. This survey discusses all currently known surface (and...

Chazal, Frédéric, Cohen-Steiner, David, Lieutier, André, Thibert, Boris

It has been observed for a long time that the operation consisting of offseting a solid by a quantity $r$ and then offseting its complement by $d

Chazal, Frédéric, Cohen-Steiner, David, Lieutier, André, Thibert, Boris

It has been observed for a long time that the operation consisting of offseting a solid by a quantity $r$ and then offseting its complement by $d

Chazal, Frédéric, Cohen-Steiner, David, Lieutier, André, Thibert, Boris

It has been observed for a long time that the operation consisting of offseting a solid by a quantity $r$ and then offseting its complement by $d

Chazal, Frédéric, Cohen-Steiner, David, Lieutier, André, Thibert, Boris

It has been observed for a long time that the operation consisting of offseting a solid by a quantity $r$ and then offseting its complement by $d

Chazal, Frédéric, Cohen-Steiner, David, Lieutier, André, Thibert, Boris

It has been observed for a long time that the operation consisting of offseting a solid by a quantity $r$ and then offseting its complement by $d

Vines and vineyards by updating persistence in linear time (2006)

David Cohen-steiner, Lucioles Bp

Persistent homology is the mathematical core of recent work on shape, including reconstruction, recognition, and matching. Its pertinent information is encapsulated by a pairing of the critical...

Variational tetrahedral meshing (2005)

Alliez, Pierre, Cohen-Steiner, David, Yvinec, Mariette, Desbrun, Mathieu

In this paper, a novel Delaunay-based variational approach to isotropic tetrahedral meshing is presented. To achieve both robustness and efficiency, we minimize a simple mesh-dependent energy through...

Variational Tetrahedral Meshing (2005)

Alliez, Pierre, Cohen-Steiner, David, Yvinec, Mariette, Desbrun, Mathieu

In this paper, a novel Delaunay-based variational approach to isotropic tetrahedral meshing is presented. To achieve both robustness and efficiency, we minimize a simple mesh-dependent energy through...

Variational Tetrahedral Meshing (2005)

Alliez, Pierre, Cohen-Steiner, David, Yvinec, Mariette, Desbrun, Mathieu

In this paper, a novel Delaunay-based variational approach to isotropic tetrahedral meshing is presented. To achieve both robustness and efficiency, we minimize a simple mesh-dependent energy through...

Variational Shape Approximation (2004)

Cohen-Steiner, David, Alliez, Pierre, Desbrun, Mathieu

Achieving efficiency in mesh processing often demands that overly verbose 3D datasets be reduced to more concise, yet faithful representations. Despite numerous applications ranging from geometry...

Variational Shape Approximation (2004)

Cohen-Steiner, David, Alliez, Pierre, Desbrun, Mathieu

Achieving efficiency in mesh processing often demands that overly verbose 3D datasets be reduced to more concise, yet faithful representations. Despite numerous applications ranging from geometry...

Variational Shape Approximation (2004)

Cohen-Steiner, David, Alliez, Pierre, Desbrun, Mathieu

Achieving efficiency in mesh processing often demands that overly verbose 3D datasets be reduced to more concise, yet faithful representations. Despite numerous applications ranging from geometry...

Variational shape approximation (2004)

David Cohen-steiner, Duke U

Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or direct...

Isotopic implicit surface meshing (2004)

Jean-daniel Boissonnat, David Cohen-steiner, Gert Vegter

This paper addresses the problem of piecewise linear approximation of implicit surfaces. We first give a criterion ensuring that the zero-set of a smooth function and the one of a piecewise linear...

Meshing implicit surfaces with certified topology title (2003)

Boissonnat, Jean-Daniel, Cohen-Steiner, David, Vegter, Gert

We describe a new algorithm for building piecewise linear approximations of an implicit surface. This algorithm is the first one guaranteeing that the implicit surface and its approximation are...

A condition for isotopic approximation (2003)

Chazal, Frédéric, Cohen-Steiner, David

In this note, we show that if two surfaces in are homeomorphic, then a simple and purely topological condition is sufficient to ensure the existence of an isotopy between them. When the surfaces are...

Approximation of the Curvature Measures of a Smooth Surface endowed with a Mesh (2003)

Approximation of the second fundamental form of a hypersurface of a Riemannian manifold (2003)

This report deals with the approximation of a smooth surface M by a triangulated mesh T. We give an explicit bound on the difference of the curvature measures of M and the curvature measures of T,...

We give a general Riemannian framework to the study of approximation of curvature measures, using the theory of the normal cycle. Moreover, we introduce a differential form which allows to define a...

Alliez, Pierre, Cohen-Steiner, David, Devillers, Olivier, Lévy, Bruno, Desbrun, Mathieu

In this paper, we propose a novel polygonal remeshing technique that exploits a key aspect of surfaces: the intrinsic of natural or man-made geometry. In particular, we use curvature directions to...

Approximation of Normal Cycles (2003)

Meshing implicit surfaces with certified topology title (2003)

This report deals with approximations of geometric data defined on a hypersurf- ace of the Euclidean space E^n. Using geometric measure theory, we evaluate an upper bound on the flat norm of the...

Boissonnat, Jean-Daniel, Cohen-Steiner, David, Vegter, Gert

We describe a new algorithm for building piecewise linear approximations of an implicit surface. This algorithm is the first one guaranteeing that the implicit surface and its approximation are...

A condition for isotopic approximation (2003)

Chazal, Frédéric, Cohen-Steiner, David

In this note, we show that if two surfaces in are homeomorphic, then a simple and purely topological condition is sufficient to ensure the existence of an isotopy between them. When the surfaces are...

Approximation of the Curvature Measures of a Smooth Surface endowed with a Mesh (2003)

Approximation of the second fundamental form of a hypersurface of a Riemannian manifold (2003)

This report deals with the approximation of a smooth surface M by a triangulated mesh T. We give an explicit bound on the difference of the curvature measures of M and the curvature measures of T,...

We give a general Riemannian framework to the study of approximation of curvature measures, using the theory of the normal cycle. Moreover, we introduce a differential form which allows to define a...

Alliez, Pierre, Cohen-Steiner, David, Devillers, Olivier, Lévy, Bruno, Desbrun, Mathieu

In this paper, we propose a novel polygonal remeshing technique that exploits a key aspect of surfaces: the intrinsic of natural or man-made geometry. In particular, we use curvature directions to...

Approximation of Normal Cycles (2003)

Meshing implicit surfaces with certified topology title (2003)

This report deals with approximations of geometric data defined on a hypersurf- ace of the Euclidean space E^n. Using geometric measure theory, we evaluate an upper bound on the flat norm of the...

Boissonnat, Jean-Daniel, Cohen-Steiner, David, Vegter, Gert

We describe a new algorithm for building piecewise linear approximations of an implicit surface. This algorithm is the first one guaranteeing that the implicit surface and its approximation are...

A condition for isotopic approximation (2003)

Chazal, Frédéric, Cohen-Steiner, David

In this note, we show that if two surfaces in are homeomorphic, then a simple and purely topological condition is sufficient to ensure the existence of an isotopy between them. When the surfaces are...

Approximation of the Curvature Measures of a Smooth Surface endowed with a Mesh (2003)

Approximation of the second fundamental form of a hypersurface of a Riemannian manifold (2003)

This report deals with the approximation of a smooth surface M by a triangulated mesh T. We give an explicit bound on the difference of the curvature measures of M and the curvature measures of T,...

Approximation of Normal Cycles (2003)

We give a general Riemannian framework to the study of approximation of curvature measures, using the theory of the normal cycle. Moreover, we introduce a differential form which allows to define a...

This report deals with approximations of geometric data defined on a hypersurf- ace of the Euclidean space E^n. Using geometric measure theory, we evaluate an upper bound on the flat norm of the...

Alliez, Pierre, Cohen-Steiner, David, Devillers, Olivier, Lévy, Bruno, Desbrun, Mathieu

In this paper, we propose a novel polygonal remeshing technique that exploits a key aspect of surfaces: the intrinsic of natural or man-made geometry. In particular, we use curvature directions to...

Alliez, Pierre, Cohen-Steiner, David, Devillers, Olivier, Lévy, Bruno, Desbrun, Mathieu

In this paper, we propose a novel polygonal remeshing technique that exploits a key aspect of surfaces: the intrinsic anisotropy of natural or man-made geometry. In particular, we use curvature...