Algorithmic geometry

Algorithmic geometry and topology are the main fields I am working on.

• since 2010: Silvia Biasotti, Marco Attene, Michela Spagnuolo, and the shape modelling group, IMATI, Genoa, Italy.

• Oscar Acosta, Jurgen Fripp, Vincent Dore, Pierrick Bourgeat, Jean-Marie Favreau, Gaël Chételat, Andrea Rueda, Victor L. Villemagne, Cassandra Szoeke, David Ames, Kathryn A. Ellis, Ralph N. Martins, Colin L. Masters, Christopher C. Rowe, Erik Bonner, Florence Gris, Di Xiao, Parnesh Raniga, Vincent Barra, Olivier Salvado Cortical surface mapping using topology correction, partial flattening and 3D shape context-based non-rigid registration for use in quantifying atrophy in Alzheimer's disease. Journal of Neuroscience Methods pp. - . (2011). doi web bibtex

  @article{Acosta2011,
  title = "Cortical surface mapping using topology correction, partial flattening and 3D shape context-based non-rigid registration for use in quantifying atrophy in Alzheimer's disease",
  journal = "Journal of Neuroscience Methods",
  volume = "",
  number = "0",
  pages = " - ",
  year = "2011",
  note = "",
  issn = "0165-0270",
  doi = "10.1016/j.jneumeth.2011.12.011",
  url = "http://www.sciencedirect.com/science/article/pii/S0165027011007485",
  author = "Oscar Acosta and Jurgen Fripp and Vincent Dore and Pierrick Bourgeat and Jean-Marie Favreau and Gaël Chételat and Andrea Rueda and Victor L. Villemagne and Cassandra Szoeke and David Ames and Kathryn A. Ellis and Ralph N. Martins and Colin L. Masters and Christopher C. Rowe and Erik Bonner and Florence Gris and Di Xiao and Parnesh Raniga and Vincent Barra and Olivier Salvado",
   keywords = { medical-imaging,  algorithmic-geometry, recent-publications}
  }

• J.-M. Favreau, V. Barra Tiling surfaces with cylinders using n-loops. Computers & Graphics 35 ( 02/2011). doi web bibtex

  @article {Favreau2011a,
  	title = {Tiling surfaces with cylinders using n-loops},
  	journal = {Computers & Graphics},
  	volume = {35},
  	year = {2011},
  	month = { 02},
  	chapter = {35,42},
  	abstract = {Subdividing surfaces into cylinders is a significant question in various applications. Even if specific approaches have been described in several domains, most of the time topological properties are not explicitly handled, and the segmentation remains mainly driven by geometry. We present here an original approach to describe the topological and combinatorial nature of a tiling with cylinders. We first introduce m-cellular complexes, a framework allowing the flexible description of cuttings and tilings. Then we describe n-loops, an extension of the loops for producing tilings with cylinders. Computational issues of n-loops are then addressed, using both topological and geometrical properties of the surface. Finally, we propose two applications, first tiling a surface with large quadrangles patches, and then segmenting surfaces with possible protrusions.},
  	issn = {0097-8493},
  	doi = {DOI: 10.1016/j.cag.2010.11.001},
  	url = {http://www.sciencedirect.com/science/article/B6TYG-51FNPD5-2/2/aa40a592785c035054fd832906c81da1},
  	author = {Favreau, J.-M. and Barra, V.},
   keywords = { algorithmic-geometry, recent-publications}
  }

  • Abstract Subdividing surfaces into cylinders is a significant question in various applications. Even if specific approaches have been described in several domains, most of the time topological properties are not explicitly handled, and the segmentation remains mainly driven by geometry. We present here an original approach to describe the topological and combinatorial nature of a tiling with cylinders. We first introduce m-cellular complexes, a framework allowing the flexible description of cuttings and tilings. Then we describe n-loops, an extension of the loops for producing tilings with cylinders. Computational issues of n-loops are then addressed, using both topological and geometrical properties of the surface. Finally, we propose two applications, first tiling a surface with large quadrangles patches, and then segmenting surfaces with possible protrusions.

• J.-M. Favreau, S. Biasotti, V. Barra, M. Spagnuolo N-loop computation using scalar functions. In Curves and Surfaces. Avignon, France (2010). bibtex

  @conference {Favreau2010b,
  	title = {N-loop computation using scalar functions},
  	booktitle = {Curves and Surfaces},
  	year = {2010},
  	address = {Avignon, France},
  	author = {Favreau, J.-M. and Biasotti, S. and Barra, V. and Spagnuolo, M.},
   keywords = { algorithmic-geometry, computer-graphics, recent-publications}
  }

• J.-M. Favreau, V. Barra Tiling surfaces with cylinders using n-loops. In IEEE International Conference on Shape Modeling and Applications (SMI). Aix-en-Provence, France (2010). bibtex

  @conference {Favreau2010c,
  	title = {Tiling surfaces with cylinders using n-loops},
  	booktitle = {IEEE International Conference on Shape Modeling and Applications (SMI)},
  	year = {2010},
  	address = {Aix-en-Provence, France},
  	author = {Favreau, J.-M. and Barra, V.},
   keywords = { algorithmic-geometry, computer-graphics}
  }

• F. Gris, J.-M. Favreau, O. Acosta, V. Barra, O. Salvado A combined voxel and surface based method for topology correction of brain surfaces. In SPIE medical imaging. San Diego, California, USA (2010). bibtex

  @conference {Gris2010,
  	title = {A combined voxel and surface based method for topology correction of brain surfaces},
  	booktitle = {SPIE medical imaging},
  	year = {2010},
  	address = {San Diego, California, USA},
  	author = {Gris, F. and Favreau, J.-M. and Acosta, O. and Barra, V. and Salvado, O.},
   keywords = { medical-imaging,  algorithmic-geometry}
  }

• J.-M. Favreau Outils pour le pavage de surfaces. (2009). web bibtex

  @phdthesis{FavreauPhDThesis,
   author =      "Favreau, J.-M.",
   title =       "Outils pour le pavage de surfaces",
   school =      "Université Blaise Pascal",
   year =        2009,
   keywords = { medical-imaging, computer-graphics, algorithmic-geometry, procedural-textures},
   url = "http://tel.archives-ouvertes.fr/tel-00440730/en/"
  }

• J.-M. Favreau, V. Barra Low-resolution Surface Mapping: a Topological and Geometrical Approach. In EuroCG'09. Brussels, Belgium (2009). bibtex

  @conference {Favreau2009c,
  	title = {Low-resolution Surface Mapping: a Topological and Geometrical Approach},
  	booktitle = {EuroCG'09},
  	year = {2009},
  	address = {Brussels, Belgium},
  	author = {Favreau, J.-M. and Barra, V.},
   keywords = { algorithmic-geometry, computer-graphics}
  }

• J.-M. Favreau, V. Barra Cutting an Organic Surface. In EuroCG'09. Brussels, Belgium (2009). bibtex

  @conference {Favreau2009b,
  	title = {Cutting an Organic Surface},
  	booktitle = {EuroCG'09},
  	year = {2009},
  	address = {Brussels, Belgium},
  	author = {Favreau, J.-M. and Barra, V.},
   keywords = { algorithmic-geometry, computer-graphics}
  }

• J.-M. Favreau, V. Barra Conformal Flattening of the Cortical Surface using a Topological and Geometrical Cutting. In SEECCM, South-East European Conference on Computational Mechanics. Island of Rhodes, Greece (2009). bibtex

  @conference {Favreau2009a,
  	title = {Conformal Flattening of the Cortical Surface using a Topological and Geometrical Cutting},
  	booktitle = {SEECCM, South-East European Conference on Computational Mechanics},
  	year = {2009},
  	address = {Island of Rhodes, Greece},
  	author = {Favreau, J.-M. and Barra, V.},
   keywords = { medical-imaging, algorithmic-geometry}
  }