Now showing items 1-6 of 6

  • A practical and robust method to compute the boundary of three-dimensional axis-aligned boxes 

    López Monterde, Daniel; Martínez Bayona, Jonàs; Vigo Anglada, Marc; Pla García, Núria (2014)
    Conference report
    Open Access
    The union of axis-aligned boxes results in a constrained structure that is advantageous for solving certain geometrical problems. A widely used scheme for solid modelling systems is the boundary representation (Brep). We ...
  • Efficient algorithms for boundary extraction of 2D and 3D orthogonal pseudomanifolds 

    Vigo Anglada, Marc; Pla García, Núria; Ayala Vallespí, M. Dolors; Martínez Bayona, Jonàs (2011)
    External research report
    Open Access
    In this paper we present algorithms to extract the boundary representation of orthogonal polygons and polyhedra, either manifold or pseudomanifold. The algorithms we develop reconstruct not only the polygons of the boundaries ...
  • Skeletal representations of orthogonal shapes 

    Martínez Bayona, Jonàs (Universitat Politècnica de Catalunya, 2013-12-12)
    Doctoral thesis
    Open Access
    Skeletal representations are important shape descriptors which encode topological and geometrical properties of shapes and reduce their dimension. Skeletons are used in several fields of science and attract the attention ...
  • Skeleton computation of an image using a geometric approach 

    Martínez Bayona, Jonàs; Vigo Anglada, Marc; Pla García, Núria; Ayala Vallespí, M. Dolors (2010-03)
    External research report
    Open Access
    In this work we develop two algorithms to compute the skeleton of a binary 2D images. Both algorithms follow a geometric approach and work directly with the boundary of the image wich is an orthogonal polygon (OP). One of ...
  • Space-optimized texture atlases 

    Martínez Bayona, Jonàs (Universitat Politècnica de Catalunya, 2009-09-08)
    Master thesis
    Open Access
    Texture atlas parameterization provides an effective way to map a variety of colour and data attributes from 2D texture domains onto polygonal surface meshes. Most of the existing literature focus on how to build seamless ...
  • The three-dimensional cube and scale cube skeleton 

    Martínez Bayona, Jonàs; Pla García, Núria; Vigo Anglada, Marc (Springer, 2014)
    Article
    Restricted access - publisher's policy
    The recently introduced cube and scale cube skeleton of Martínez et al. (Graph Models 75:189–207, 2013) are a new type of skeletal representations for polygons or polyhedra enclosed by axis-aligned edges or faces. In this ...