Blar i SINTEF Open på forfatter "Alcazar, Juan Gerardo"

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    • Detecting similarity of rational plane curves 

      Alcazar, Juan Gerardo; Hermoso, Carlos; Muntingh, Agnar Georg Peder (Journal article; Peer reviewed, 2014)
      A novel and deterministic algorithm is presented to detect whether two given rational plane curves are related by means of a similarity, which is a central question in Pattern Recognition. As a by-product it finds all such ...

    • Detecting symmetries of rational plane and space curves 

      Alcazar, Juan Gerardo; Hermoso, Carlos; Muntingh, Agnar Georg Peder (Journal article; Peer reviewed, 2014)
      This paper addresses the problem of determining the symmetries of a plane or space curve defined by a rational parametrization. We provide effective methods to compute the involution and rotation symmetries for the planar ...

    • Similarity detection of rational space curves 

      Alcazar, Juan Gerardo; Hermoso, Carlos; Muntingh, Agnar Georg Peder (Journal article; Peer reviewed, 2017)
      We provide an algorithm to check whether two rational space curves are related by a similarity. The algorithm exploits the relationship between the curvatures and torsions of two similar curves, which is formulated in a ...

    • Symmetries of canal surfaces and Dupin cyclides 

      Alcazar, Juan Gerardo; Dahl, Heidi Elisabeth Iuell; Muntingh, Agnar Georg Peder (Journal article; Peer reviewed, 2017)
      We develop a characterization for the existence of symmetries of canal surfaces defined by a rational spine curve and rational radius function. In turn, this characterization inspires an algorithm for computing the symmetries ...

    • Symmetry Detection of Rational Space Curves from their Curvature and Torsion 

      Alcazar, Juan Gerardo; Hermoso, Carlos; Muntingh, Agnar Georg Peder (Journal article; Peer reviewed, 2015)
      We present a novel, deterministic, and efficient method to detect whether a given rational space curve is symmetric. By using well-known differential invariants of space curves, namely the curvature and torsion, the method ...