• openAccess   A Novel Real-Time MATLAB/Simulink/LEGO EV3 Platform for Academic Use in Robotics and Computer Science 

      montes , Nicolas; Rosillo, Nuria; Mora, Marta Covadonga; Hilario Pérez, Lucia MDPI (2021)
      Over the last years, mobile robot platforms are having a key role in education worldwide. Among others, LEGO Robots and MATLAB/Simulink are being used mainly in universities to improve the teaching experience. Most LEGO ...
    • 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   Gamification for Maths and Physics in University Degrees through a Transportation Challenge 

      Hilario Pérez, Lucia; Mora, Marta Covadonga; Montés, Nicolás; Romero Sánchez, Pantaleón David; Barquero Pérez, Sara MDPI (2022)
      Our society is immersed in the Fourth Industrial Revolution due to the fast evolution of the new technologies that are modifying the labor market. In the near future, technologies related to Industry 4.0 will produce ...
    • 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   Robomaths: Robotics to Learn Matematics in a Architecture Degree 

      Hilario Pérez, Lucia; Mora, Marta Covadonga; Montés, Nicolás; Edo, C. North American Business Press (2020-12-16)
      The abstract part of mathematics is a difficult matter included in many subjects in university degrees. Specifically, in architecture degrees students lack interest in this topic if they don’t experience its immediate ...
    • 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 ...