Listar Departament: Enginyeria Mecànica i Construcció por autoría "6a1c873c-6fda-4559-9461-bb93b562b312"

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    • openAccess   A Path Planning Algorithm for a Dynamic Environment Based on Proper Generalized Decomposition 

      Falco, Antonio; Hilario Pérez, Lucia; montes , Nicolas; Mora, Marta Covadonga; Nadal Soriano, Enrique MDPI (2020-12-19)
      A necessity in the design of a path planning algorithm is to account for the environment. If the movement of the mobile robot is through a dynamic environment, the algorithm needs to include the main constraint: real-time ...

    • openAccess   A tensor optimization algorithm for Bézier Shape Deformation 

      Hilario Pérez, Lucia; Falco, Antonio; Montes Sánchez, Nicolás; Mora, Marta Covadonga Elsevier (2015-01)
      In this paper we propose a tensor based description of the Bézier Shape Deformation (BSD) algorithm, denoted as T-BSD. The BSD algorithm is a well-known technique, based on the deformation of a Bézier curve through a field ...

    • openAccess   Numerical strategies for the Galerkin–proper generalized decomposition method 

      Falco, Antonio; Hilario Pérez, Lucia; Montes Sánchez, Nicolás; Mora, Marta Covadonga Elsevier (2013)
      The Proper Generalized Decomposition or, for short, PGD is a tensor decomposition based technique to solve PDE problems. It reduces calculation and storage cost drastically and presents some similarities with the Proper ...

    • openAccess   On the Existence of a Progressive Variational Vademecum based on the Proper Generalized Decomposition for a Class of Elliptic Parameterized Problems 

      Falco, Antonio; Montes Sánchez, Nicolás; Chinesta, F.; Hilario Pérez, Lucia; Mora, Marta Covadonga Elsevier (2018-03)
      In this study, we present the mathematical analysis needed to explain the convergence of a progressive variational vademecum based on the proper generalized decomposition (PGD). The PGD is a novel technique that was developed ...

    • openAccess   Path Planning Based on Parametric Curves 

      Hilario Pérez, Lucia; Mora, Marta Covadonga; Montes Sánchez, Nicolás; Falco, Antonio IntechOpen (2018)
      Parametric curves are extensively used in engineering. The most commonly used parametric curves are, Bézier, B-splines, (NURBSs), and rational Bézier. Each and every one of them has special features, being the main ...

    • openAccess   Real-Time Path Planning Based on Harmonic Functions under a Proper Generalized Decomposition-Based Framework 

      montes , Nicolas; Chinesta, Francisco; Mora, Marta Covadonga; Falco, Antonio; Hilario Pérez, Lucia; Rosillo Guerrero, Nuria; Nadal Soriano, Enrique Multidisciplinary Digital Publishing Institute (2021-06-02)
      This paper presents a real-time global path planning method for mobile robots usingharmonic functions, such as the Poisson equation, based on the Proper Generalized Decomposition(PGD) of these functions. The main property ...

    • openAccess   Towards a Vector Field Based Approach to the Proper Generalized Decomposition (PGD) 

      Falco, Antonio; Hilario Pérez, Lucia; Montés, Nicolás; Mora, Marta Covadonga; Nadal Soriano, Enrique MDPI (2021)
      A novel algorithm called the Proper Generalized Decomposition (PGD) is widely used by the engineering community to compute the solution of high dimensional problems. However, it is well-known that the bottleneck of its ...