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- David Cohen-Steiner, Pierre Alliez, Mathieu Desbrun
- ACM Trans. Graph.
- 2004

A method for concise, faithful approximation of complex 3D datasets is key to reducing the computational cost of graphics applications. Despite numerous applications ranging from geometry compressionâ€¦ (More)

- David Cohen-Steiner, Herbert Edelsbrunner, John Harer
- Discrete & Computational Geometry
- 2005

The persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the persistence diagramâ€¦ (More)

- Pierre Alliez, David Cohen-Steiner, Mariette Yvinec, Mathieu Desbrun
- SIGGRAPH Courses
- 2005

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 throughâ€¦ (More)

- Pierre Alliez, David Cohen-Steiner, Olivier Devillers, Bruno LÃ©vy, Mathieu Desbrun
- ACM Trans. Graph.
- 2003

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 curvatureâ€¦ (More)

- FrÃ©dÃ©ric Chazal, David Cohen-Steiner, Marc Glisse, Leonidas J. Guibas, Steve Oudot
- Symposium on Computational Geometry
- 2009

Topological persistence has proven to be a key concept for the study of real-valued functions defined over topological spaces. Its validity relies on the fundamental property that the persistenceâ€¦ (More)

- David Cohen-Steiner, Jean-Marie Morvan
- Symposium on Computational Geometry
- 2003

We address the problem of curvature estimation from sampled smooth surfaces. Building upon the theory of normal cycles, we derive a definition of the curvature tensor for polyhedral surfaces. Thisâ€¦ (More)

- David Cohen-Steiner, Herbert Edelsbrunner, Dmitriy Morozov
- Symposium on Computational Geometry
- 2006

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 criticalâ€¦ (More)

- Yiying Tong, Pierre Alliez, David Cohen-Steiner, Mathieu Desbrun
- Symposium on Geometry Processing
- 2006

We introduce a framework for quadrangle meshing of discrete manifolds. Based on discrete differential forms, our method hinges on extending the discrete Laplacian operator (used extensively inâ€¦ (More)

- David Cohen-Steiner, Herbert Edelsbrunner, John Harer
- Foundations of Computational Mathematics
- 2009

Persistent homology has proven to be a useful tool in a variety of contexts, including the recognition and measurement of shape characteristics of surfaces in R. Persistence pairs homology classesâ€¦ (More)

- FrÃ©dÃ©ric Chazal, David Cohen-Steiner, AndrÃ© Lieutier
- Discrete & Computational Geometry
- 2006

We introduce a parameterized notion of feature size that interpolates between the minimum of the local feature size, and the recently introduced weak feature size. Based on this notion of featureâ€¦ (More)