Paralelización del código de desenredo y suavizado de mallas de tetraedros "S.U.S Code"

Máster Universitario en Sistemas Inteligentes y Aplicaciones Numéricas en Ingeniería (SIANI)

Horn-schunck optical flow with a multi-scale strategy

[EN] The seminal work of Horn and Schunck [8] is the first variational method for optical flow estimation. It introduced a novel framework where the optical flow is computed as the solution of a minimization problem. From the assumption that pixel intensities do not change over time, the optical flow constraint equation is derived. This equation relates the optical flow with the derivatives of the image. There are infinitely many vector fields that satisfy the optical flow constraint, thus the problem is ill-posed. To overcome this problem, Horn and Schunck introduced an additional regularity condition that restricts the possible solutions. Their method minimizes both the optical flow constraint and the magnitude of the variations of the flow field, producing smooth vector fields. One of the limitations of this method is that, typically, it can only estimate small motions. In the presence of large displacements, this method fails when the gradient of the image is not smooth enough. In this work, we describe an implementation of the original Horn and Schunck method and also introduce a multi-scale strategy in order to deal with larger displacements. For this multi-scale strategy, we create a pyramidal structure of downsampled images and change the optical flow constraint equation with a nonlinear formulation. In order to tackle this nonlinear formula, we linearize it and solve the method iteratively in each scale. In this sense, there are two common approaches: one that computes the motion increment in the iterations, like in ; or the one we follow, that computes the full flow during the iterations, like in. The solutions are incrementally refined ower the scales. This pyramidal structure is a standard tool in many optical flow methods.

Dense disparity map estimation respecting image discontinuities

[EN] We present an energy based approach to estimate a dense disparity map from a set of two weakly calibrated stereoscopic images while preserving its discontinuities resulting from image boundaries. We first derive a simplified expression for the disparity that allows us to estimate it from a stereo pair of images using an energy minimization approach. We assume that the epipolar geometry is known, and we include this information in the energy model. Discontinuities are preserved by means of a regularization term based on the Nagel-Enkelmann operator. We investigate the associated Euler-Lagrange equation of the energy functional, and we approach the solution of the underlying partial differential equation (PDE) using a gradient descent method The resulting parabolic problem has a unique solution. In order to reduce the risk to be trapped within some irrelevant local minima during the iterations, we use a focusing strategy based on a linear scalespace. Experimental results on both synthetic and real images arere presented to illustrate the capabilities of this PDE and scale-space based method.

Desarrollo de interfaces de usuario para una herramienta de telecontrol y automatización industrial

[ES] Este proyecto de fin de carrera aborda la actualización y refactorización de la aplicación Hecaton. Esta aplicación permite la monitorización y actuación en instalaciones industriales de manera remota a través de un interfaz web. Para ello hace uso de sensores y actuadores que, conectados a través de un equipo de adquisición de datos a un sistema informático servidor, permiten obtener, manipular y almacenar los datos y eventos recibidos. Hecaton ha sido desarrollado enteramente utilizando software libre. Además, el sistema permite ser personalizado, lo que posibilita su uso en todo tipo de escenarios, siendo el usuario quién define las reglas de funcionamiento. Este trabajo se trata del cuarto ciclo de desarrollo, pues la aplicación ha sido crea y ampliada en otros tres proyectos. En este último desarrollo se han actualizado las tecnologías y herramientas que forman parte de la aplicación. Se ha puesto especial énfasis en el rediseño de la interfaz web, adoptando el uso de las últimas tecnologías web que permiten un funcionamiento dinámico de la misma. Por otro lado se han corregido algunos errores de diseño e introducido el uso de nuevas herramientas para la gestión del proyecto software. Se trata por lo tanto de un ejercicio de refactorización software donde se ha puesto especial atención en conseguir un proyecto actualizado y que utilice metodologías de desarrollo actuales y que posibilite que sea actualizado en un futuro.