896 resultados para Mathematical and Computer Modelling


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This paper aims at developing a simulation framework to jointly assess agricultural and water issues. While the strong linkages between water, food, and the environment call for an integrated and multidisciplinary modelling approach, a complete and consistent modelling system to evaluate food-water relationships in Europe was missing so far. The spatial economic simulation model for agriculture CAPRI, which comprises a set of environmental indicators to assess food-environment interrelations within European regions, has been extended to account for food-water links. This modelling framework enables simulating the potential impact of climate change and water availability on agricultural production at the EU regional level, as well as looking at the sustainable use of water, the implementation of water policies or the integration of water issues in the Common Agricultural Policy

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A system for simultaneous 2D estimation of rectangular room and transceiver localization is proposed. The system is based on two radio transceivers, both capable of full duplex operations (simultaneous transmission and reception). This property enables measurements of channel impulse response (CIR) at the same place the signal is transmitted (generated), commonly known as self-to-self CIR. Another novelty of the proposed system is the spatial CIR discrimination that is possible with the receiver antenna design which consists of eight sectorized antennas with 45° aperture in the horizontal plane and total coverage equal to the isotropic one. The dimensions of a rectangular room are reconstructed directly from spatial radio impulse responses by extracting the information regarding round trip time (RTT). Using radar approach estimation of walls and corners positions is derived. Tests using measured data were performed, and the simulation results confirm the feasibility of the approach.

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Laparoscopic instrument tracking systems are an essential component in image-guided interventions and offer new possibilities to improve and automate objective assessment methods of surgical skills. In this study we present our system design to apply a third generation optical pose tracker (Micron- Tracker®) to laparoscopic practice. A technical evaluation of this design is performed in order to analyze its accuracy in computing the laparoscopic instrument tip position. Results show a stable fluctuation error over the entire analyzed workspace. The relative position errors are 1.776±1.675 mm, 1.817±1.762 mm, 1.854±1.740 mm, 2.455±2.164 mm, 2.545±2.496 mm, 2.764±2.342 mm, 2.512±2.493 mm for distances of 50, 100, 150, 200, 250, 300, and 350 mm, respectively. The accumulated distance error increases with the measured distance. The instrument inclination covered by the system is high, from 90 to 7.5 degrees. The system reports a low positional accuracy for the instrument tip.

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Power losses due to wind turbine wakes are of the order of 10 and 20% of total power output in large wind farms. The focus of this research carried out within the EC funded UPWIND project is wind speed and turbulence modelling for large wind farms/wind turbines in complex terrain and offshore in order to optimise wind farm layouts to reduce wake losses and loads.

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The paper presents the main elements of a project entitled ICT-Emissions that aims at developing a novel methodology to evaluate the impact of ICT-related measures on mobility, vehicle energy consumption and CO2 emissions of vehicle fleets at the local scale, in order to promote the wider application of the most appropriate ICT measures. The proposed methodology combines traffic and emission modelling at micro and macro scales. These will be linked with interfaces and submodules which will be specifically designed and developed. A number of sources are available to the consortium to obtain the necessary input data. Also, experimental campaigns are offered to fill in gaps of information in traffic and emission patterns. The application of the methodology will be demonstrated using commercially available software. However, the methodology is developed in such a way as to enable its implementation by a variety of emission and traffic models. Particular emphasis is given to (a) the correct estimation of driver behaviour, as a result of traffic-related ICT measures, (b) the coverage of a large number of current vehicle technologies, including ICT systems, and (c) near future technologies such as hybrid, plug-in hybrids, and electric vehicles. The innovative combination of traffic, driver, and emission models produces a versatile toolbox that can simulate the impact on energy and CO2 of infrastructure measures (traffic management, dynamic traffic signs, etc.), driver assistance systems and ecosolutions (speed/cruise control, start/stop systems, etc.) or a combination of measures (cooperative systems).The methodology is validated by application in the Turin area and its capacity is further demonstrated by application in real world conditions in Madrid and Rome.

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Despite that Critical Infrastructures (CIs) security and surveillance are a growing concern for many countries and companies, Multi Robot Systems (MRSs) have not been yet broadly used in this type of facilities. This dissertation presents a novel study of the challenges arisen by the implementation of this type of systems and proposes solutions to specific problems. First, a comprehensive analysis of different types of CIs has been carried out, emphasizing the influence of the different characteristics of the facilities in the design of a security and surveillance MRS. One of the most important needs for the surveillance of a CI is the detection of intruders. From a technical point of view this problem can be abstracted as equivalent to the Detection and Tracking of Mobile Objects (DATMO). This dissertation proposes algorithms to solve this specific problem in a CI environment. Using 3D range images of the environment as input data, two detection algorithms for ground robots have been developed. These detection algorithms provide a list of moving objects in the robot detection area. Direct image differentiation and computer vision techniques are used when the robot is static. Alternatively, multi-layer ground reconstructions are compared to detect the dynamic objects when the robot is moving. Since CIs usually spread over large areas, it is very useful to incorporate aerial vehicles in the surveillance MRS. Therefore, a moving object detection algorithm for aerial vehicles has been also developed. This algorithm compares the real optical flow obtained from a down-face oriented camera with an artificial optical flow computed using a RANSAC based homography matrix. Two tracking algorithms have been developed to follow the moving objects trajectories. These algorithms can efficiently handle occlusions and crossings, as well as exchange information among robots. The multirobot tracking can be applied to any type of communication structure: centralized, decentralized or a combination of both. Even more, the developed tracking algorithms are independent of the detection algorithms and could be potentially used with other detection procedures or even with static sensors, such as cameras. In addition, using the 3D point clouds available to the robots, a relative localization algorithm has been developed to improve the position estimation of a given robot with observations from other robots. All the developed algorithms have been extensively tested in different simulated CIs using the Webots robotics simulator. Furthermore, the algorithms have also been validated with real robots operating in real scenarios. In conclusion, this dissertation presents a multirobot approach to Critical Infrastructure Surveillance, mainly focusing on Detecting and Tracking Dynamic Objects.

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There is general agreement within the scientific community in considering Biology as the science with more potential to develop in the XXI century. This is due to several reasons, but probably the most important one is the state of development of the rest of experimental and technological sciences. In this context, there are a very rich variety of mathematical tools, physical techniques and computer resources that permit to do biological experiments that were unbelievable only a few years ago. Biology is nowadays taking advantage of all these newly developed technologies, which are been applied to life sciences opening new research fields and helping to give new insights in many biological problems. Consequently, biologists have improved a lot their knowledge in many key areas as human function and human diseases. However there is one human organ that is still barely understood compared with the rest: The human brain. The understanding of the human brain is one of the main challenges of the XXI century. In this regard, it is considered a strategic research field for the European Union and the USA. Thus, there is a big interest in applying new experimental techniques for the study of brain function. Magnetoencephalography (MEG) is one of these novel techniques that are currently applied for mapping the brain activity1. This technique has important advantages compared to the metabolic-based brain imagining techniques like Functional Magneto Resonance Imaging2 (fMRI). The main advantage is that MEG has a higher time resolution than fMRI. Another benefit of MEG is that it is a patient friendly clinical technique. The measure is performed with a wireless set up and the patient is not exposed to any radiation. Although MEG is widely applied in clinical studies, there are still open issues regarding data analysis. The present work deals with the solution of the inverse problem in MEG, which is the most controversial and uncertain part of the analysis process3. This question is addressed using several variations of a new solving algorithm based in a heuristic method. The performance of those methods is analyzed by applying them to several test cases with known solutions and comparing those solutions with the ones provided by our methods.

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El objeto del presente artículo es el estudio de singularidades en problemas de Potencial mediante el uso del Método de las Ecuaciones Integrales sobre el contorno del dominio en estudio. Frente a soluciones basadas en la mejora de la discretización, análisis asintótico o introducción de funciones de forma que representen mejor la evolución de la función, una nueva hipótesis es presentada: el término responsable de la singularidad es incluido en la integral sobre el contorno de la función auxiliar. Los resultados obtenidos mejoran los de soluciones anteriores simplificando también el tiempo de cálculo = The subject of this paper is the modelling of singularities in potential problems, using the Boundary Integral Equation Method. As a logical alternative to classical methods (discretization refinement, asymptotic analysis, high order interpolatory functions) a new hypothesis is presented: the singularity responsible term is included in the interpolatory shape function. As shown by several exemples results are splendid and computer time radically shortened.

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In this paper we propose an innovative method for the automatic detection and tracking of road traffic signs using an onboard stereo camera. It involves a combination of monocular and stereo analysis strategies to increase the reliability of the detections such that it can boost the performance of any traffic sign recognition scheme. Firstly, an adaptive color and appearance based detection is applied at single camera level to generate a set of traffic sign hypotheses. In turn, stereo information allows for sparse 3D reconstruction of potential traffic signs through a SURF-based matching strategy. Namely, the plane that best fits the cloud of 3D points traced back from feature matches is estimated using a RANSAC based approach to improve robustness to outliers. Temporal consistency of the 3D information is ensured through a Kalman-based tracking stage. This also allows for the generation of a predicted 3D traffic sign model, which is in turn used to enhance the previously mentioned color-based detector through a feedback loop, thus improving detection accuracy. The proposed solution has been tested with real sequences under several illumination conditions and in both urban areas and highways, achieving very high detection rates in challenging environments, including rapid motion and significant perspective distortion

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This paper presents the knowledge model of a distributed decision support system, that has been designed for the management of a national network in Ukraine. It shows how advanced Artificial Intelligence techniques (multiagent systems and knowledge modelling) have been applied to solve this real-world decision support problem: on the one hand its distributed nature, implied by different loci of decision-making at the network nodes, suggested to apply a multiagent solution; on the other, due to the complexity of problem-solving for local network administration, it was useful to apply knowledge modelling techniques, in order to structure the different knowledge types and reasoning processes involved. The paper sets out from a description of our particular management problem. Subsequently, our agent model is described, pointing out the local problem-solving and coordination knowledge models. Finally, the dynamics of the approach is illustrated by an example.

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Esta Tesis Doctoral trata sobre la caracterización acústica de los ecosistemas naturales y la evaluación del impacto ambiental del ruido antropogénico sobre sus potenciales receptores en estos lugares, incluidos los receptores no humanos y sus efectos ecológicos, además, analiza las implicaciones para su gestión a distintas escalas y se lleva a cabo una valoración económica. Este trabajo ofrece soluciones para caracterizar los paisajes sonoros de forma compatible con distintas escalas de trabajo, nivel de esfuerzo técnico y en contextos de recursos limitados que haga viable su tratamiento como cualquier otra variable ambiental en el ámbito de la conservación y gestión del medio natural. Se han adaptado herramientas y metodologías propias de disciplinas como la acústica ambiental, bioacústica y ecología del paisaje, para servir a los objetivos específicos de la evaluación y gestión de los paisajes sonoros y el ruido ambiental en amplias extensiones geográficas. Se ha establecido un método general de muestreo sistemático para trabajo de campo y también se han adaptado métodos de modelización informática, que permiten analizar escenarios sonoros dinámicos en el tiempo y en el espacio, desde localizaciones puntuales hasta la escala del paisaje. Es posible elaborar cartografía ambiental con esta información y se ha representado gráficamente la zona de influencia de distintas fuentes de ruido sobre la calidad de distintos hábitats faunísticos. Se recomienda el uso del indicador del nivel de presión sonora equivalente (Leq) por su operatividad en medición y modelización, y su adaptabilidad a cualquier dimensión espacial y temporal que se requiera, por ejemplo en función del paisaje, actividades o especies que se establezcan como objeto de análisis. Se ha comprobado que las voces y conversaciones de parte de los excursionistas en zonas de reposo, observación y descanso (Laguna Grande de Peñalara) es la fuente de ruido que con mayor frecuencia identifican los propios visitantes (51%) y causa un incremento del nivel de presión sonora equivalente de unos 4,5 dBA sobre el nivel correspondiente al ambiente natural (Lnat). También se ha comprobado que carreteras con bajo nivel de tráfico (IMD<1000) pueden causar estrés fisiológico sobre la fauna y afectar a la calidad de sus hábitats. La isófona de 30 dBA del índice Leq (24h) permite dividir a los corzos de la zona de estudio en dos grupos con diferente nivel de estrés fisiológico, más elevado en los que se sitúan más cerca de la carretera con mayor volumen de tráfico y se expone a mayores niveles de ruido. Por otro lado, ha sido posible delimitar una zona de exclusión para la nidificación de buitre negro alrededor de las carreteras, coincidente con la isófona Leq (24h) de 40 dBA que afecta al 11% de su hábitat potencial. Además se ha llevado a cabo una novedosa valoración económica de la contaminación acústica en espacios naturales protegidos, mediante el análisis de la experiencia sonora de los visitantes del antiguo Parque Natural de Peñalara, y se ha constatado su disposición al pago de una entrada de acceso a estos lugares (aproximadamente 1 euro) si redundara en una mejora de su estado de conservación. En conclusión, los espacios naturales protegidos pueden sufrir un impacto ambiental significativo causado por fuentes de ruido localizadas en su interior pero también lejanas a ellos, que se sitúan fuera del ámbito de competencias de sus gestores. Sucesos sonoros como el sobrevuelo de aviones pueden incrementar en aproximadamente 8 dBA el nivel de referencia Lnat en las zonas tranquilas del parque. Se recomienda llevar a cabo una gestión activa del medio ambiente sonoro y se considera necesario extender la investigación sobre los efectos ecológicos del ruido ambiental a otros lugares y especies animales. ABSTRACT This PhD Thesis deals with acoustic characterization of natural ecosystems and anthropogenic noise impact assessment on potential receivers, including non-human receivers and their ecological effects. Besides, its management implications at different scales are analyzed and an economic valuation is performed. This study provides solutions for characterizing soundscapes in a compatible way with different working scales, level of technical effort and in a context of limited resources, so its treatment becomes feasible as for any other environmental variable in conservation and environmental management. Several tools and methodologies have been adapted from a variety of disciplines such as environmental acoustics, bioacoustics and landscape ecology, to better serve the specific goals of assessing and managing soundscapes and environmental noise in large areas. A procedure has been established for systematic field measurement surveys and noise common computer modelling methods have also been adapted in order to analyze dynamic soundscapes across time and space, from local to landscape scales. It is possible to create specific thematic cartography as for instance delimiting potential influence zone from different noise sources on animal habitats quality. Use of equivalent continuous sound pressure level index (Leq) is recommended because it provides great flexibility in operation for noise measurement and modelling, and because of its adaptability to any required temporal and spatial dimension, for instance landscape, activities or the target species established as study subjects. It has been found that human voices and conversations in a resting and contemplation area (Laguna Grande de Peñalara) is the most frequently referred noise source by national park visitors (51 %) when asked. Human voices alter this recreational area by increasing the sound pressure level approximately 4.5 dBA over the natural ambient level (Lnat). It has also been found that low traffic roads (AADT<1000 ) may cause physiological stress on wildlife and affect the quality of their habitats. It has also been possible to define a road-effect zone by noise mapping, which suggests an effective habitat loss within the Leq (24h) 30 dBA isophone in case of Roe deer and also divide the study area in two groups with different physiological stress level, higher for those exposed to higher noise levels and traffic volume. On the other hand, it has been possible to determine an exclusion area for Cinereous vulture nesting surrounding roads which is coincident with the Leq (24h) 40 dBA isophone and affects 11 % of the vulture potential habitat. It has also been performed an economic estimation of noise pollution impact on visitors’ perception and results showed that visitors would be willing to pay an entrance fee of approximately 1 euro if such payment is really bringing an improvement of the conservation status. In conclusion, protected areas may be significantly affected by anthropogenic noise sources located within the park borders but perturbations may also be caused by large-distance noise sources outside the park managers’ jurisdiction. Aircraft overflight events disrupted quietness and caused Leq increases of almost 8 dBA during a monitoring period with respect to Lnat reference levels in the park quiet areas. It is recommended to actively manage the acoustic environment. Finally, further research on ecological impacts of environmental noise needs to be extended to other species and places.

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El presente proyecto trata sobre uno de los campos más problemáticos de la inteligencia artificial, el reconocimiento facial. Algo tan sencillo para las personas como es reconocer una cara conocida se traduce en complejos algoritmos y miles de datos procesados en cuestión de segundos. El proyecto comienza con un estudio del estado del arte de las diversas técnicas de reconocimiento facial, desde las más utilizadas y probadas como el PCA y el LDA, hasta técnicas experimentales que utilizan imágenes térmicas en lugar de las clásicas con luz visible. A continuación, se ha implementado una aplicación en lenguaje C++ que sea capaz de reconocer a personas almacenadas en su base de datos leyendo directamente imágenes desde una webcam. Para realizar la aplicación, se ha utilizado una de las librerías más extendidas en cuanto a procesado de imágenes y visión artificial, OpenCV. Como IDE se ha escogido Visual Studio 2010, que cuenta con una versión gratuita para estudiantes. La técnica escogida para implementar la aplicación es la del PCA ya que es una técnica básica en el reconocimiento facial, y además sirve de base para soluciones mucho más complejas. Se han estudiado los fundamentos matemáticos de la técnica para entender cómo procesa la información y en qué se datos se basa para realizar el reconocimiento. Por último, se ha implementado un algoritmo de testeo para poder conocer la fiabilidad de la aplicación con varias bases de datos de imágenes faciales. De esta forma, se puede comprobar los puntos fuertes y débiles del PCA. ABSTRACT. This project deals with one of the most problematic areas of artificial intelligence, facial recognition. Something so simple for human as to recognize a familiar face becomes into complex algorithms and thousands of data processed in seconds. The project begins with a study of the state of the art of various face recognition techniques, from the most used and tested as PCA and LDA, to experimental techniques that use thermal images instead of the classic visible light images. Next, an application has been implemented in C + + language that is able to recognize people stored in a database reading images directly from a webcam. To make the application, it has used one of the most outstretched libraries in terms of image processing and computer vision, OpenCV. Visual Studio 2010 has been chosen as the IDE, which has a free student version. The technique chosen to implement the software is the PCA because it is a basic technique in face recognition, and also provides a basis for more complex solutions. The mathematical foundations of the technique have been studied to understand how it processes the information and which data are used to do the recognition. Finally, an algorithm for testing has been implemented to know the reliability of the application with multiple databases of facial images. In this way, the strengths and weaknesses of the PCA can be checked.

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El aprendizaje automático y la cienciometría son las disciplinas científicas que se tratan en esta tesis. El aprendizaje automático trata sobre la construcción y el estudio de algoritmos que puedan aprender a partir de datos, mientras que la cienciometría se ocupa principalmente del análisis de la ciencia desde una perspectiva cuantitativa. Hoy en día, los avances en el aprendizaje automático proporcionan las herramientas matemáticas y estadísticas para trabajar correctamente con la gran cantidad de datos cienciométricos almacenados en bases de datos bibliográficas. En este contexto, el uso de nuevos métodos de aprendizaje automático en aplicaciones de cienciometría es el foco de atención de esta tesis doctoral. Esta tesis propone nuevas contribuciones en el aprendizaje automático que podrían arrojar luz sobre el área de la cienciometría. Estas contribuciones están divididas en tres partes: Varios modelos supervisados (in)sensibles al coste son aprendidos para predecir el éxito científico de los artículos y los investigadores. Los modelos sensibles al coste no están interesados en maximizar la precisión de clasificación, sino en la minimización del coste total esperado derivado de los errores ocasionados. En este contexto, los editores de revistas científicas podrían disponer de una herramienta capaz de predecir el número de citas de un artículo en el fututo antes de ser publicado, mientras que los comités de promoción podrían predecir el incremento anual del índice h de los investigadores en los primeros años. Estos modelos predictivos podrían allanar el camino hacia nuevos sistemas de evaluación. Varios modelos gráficos probabilísticos son aprendidos para explotar y descubrir nuevas relaciones entre el gran número de índices bibliométricos existentes. En este contexto, la comunidad científica podría medir cómo algunos índices influyen en otros en términos probabilísticos y realizar propagación de la evidencia e inferencia abductiva para responder a preguntas bibliométricas. Además, la comunidad científica podría descubrir qué índices bibliométricos tienen mayor poder predictivo. Este es un problema de regresión multi-respuesta en el que el papel de cada variable, predictiva o respuesta, es desconocido de antemano. Los índices resultantes podrían ser muy útiles para la predicción, es decir, cuando se conocen sus valores, el conocimiento de cualquier valor no proporciona información sobre la predicción de otros índices bibliométricos. Un estudio bibliométrico sobre la investigación española en informática ha sido realizado bajo la cultura de publicar o morir. Este estudio se basa en una metodología de análisis de clusters que caracteriza la actividad en la investigación en términos de productividad, visibilidad, calidad, prestigio y colaboración internacional. Este estudio también analiza los efectos de la colaboración en la productividad y la visibilidad bajo diferentes circunstancias. ABSTRACT Machine learning and scientometrics are the scientific disciplines which are covered in this dissertation. Machine learning deals with the construction and study of algorithms that can learn from data, whereas scientometrics is mainly concerned with the analysis of science from a quantitative perspective. Nowadays, advances in machine learning provide the mathematical and statistical tools for properly working with the vast amount of scientometrics data stored in bibliographic databases. In this context, the use of novel machine learning methods in scientometrics applications is the focus of attention of this dissertation. This dissertation proposes new machine learning contributions which would shed light on the scientometrics area. These contributions are divided in three parts: Several supervised cost-(in)sensitive models are learned to predict the scientific success of articles and researchers. Cost-sensitive models are not interested in maximizing classification accuracy, but in minimizing the expected total cost of the error derived from mistakes in the classification process. In this context, publishers of scientific journals could have a tool capable of predicting the citation count of an article in the future before it is published, whereas promotion committees could predict the annual increase of the h-index of researchers within the first few years. These predictive models would pave the way for new assessment systems. Several probabilistic graphical models are learned to exploit and discover new relationships among the vast number of existing bibliometric indices. In this context, scientific community could measure how some indices influence others in probabilistic terms and perform evidence propagation and abduction inference for answering bibliometric questions. Also, scientific community could uncover which bibliometric indices have a higher predictive power. This is a multi-output regression problem where the role of each variable, predictive or response, is unknown beforehand. The resulting indices could be very useful for prediction purposes, that is, when their index values are known, knowledge of any index value provides no information on the prediction of other bibliometric indices. A scientometric study of the Spanish computer science research is performed under the publish-or-perish culture. This study is based on a cluster analysis methodology which characterizes the research activity in terms of productivity, visibility, quality, prestige and international collaboration. This study also analyzes the effects of collaboration on productivity and visibility under different circumstances.

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Impact response surfaces (IRSs) depict the response of an impact variable to changes in two explanatory variables as a plotted surface. Here, IRSs of spring and winter wheat yields were constructed from a 25-member ensemble of process-based crop simulation models. Twenty-one models were calibrated by different groups using a common set of calibration data, with calibrations applied independently to the same models in three cases. The sensitivity of modelled yield to changes in temperature and precipitation was tested by systematically modifying values of 1981-2010 baseline weather data to span the range of 19 changes projected for the late 21st century at three locations in Europe.

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En esta tesis se desarrolla un modelo físico-matemático, original, que permite simular el comportamiento de las máquinas de visión, en particular las máquinas ópticas digitales, cuando reciben información a través de la luz reflejada por los mensurandos. El modelo desarrollado se lia aplicado para la determinación de los parámetros que intervienen en el proceso de caracterización de formas geométricas básicas, tales como líneas, círculos y elipses. También se analizan las fuentes de error que intervienen a lo largo de la cadena metrológica y se proponen modelos de estimación de las incertidumbres de medida a través un nuevo enfoque basado en estadística bayesiana y resolución subpíxel. La validez del modelo se ha comprobado por comparación de los resultados teóricos, obtenidos a partir de modelos virtuales y simulaciones informáticas, y los reales, obtenidos mediante la realización de medidas de diferentes mensurandos del ámbito electromecánico y de dimensiones submilimétricas. Utilizando el modelo propuesto, es posible caracterizar adecuadamente mensurandos a partir del filtrado, segmentación y tratamiento matemático de las imágenes. El estudio experimental y validación definitiva de los resultados se ha realizado en el Laboratorio de Metrología Dimensional de la Escuela Técnica Superior de Ingeniería y Diseño Industrial de la Universidad Politécnica de Madrid. Los modelos desarrollados se han implementado sobre imágenes obtenidas con la máquina de visión marca TESA, modelo VISIO 300. Abstract In this PhD Thesis an original mathematic-physic model has been developed. It allows simulating the behaviour of the vision measuring machines, in particular the optical digital machines, where they receive information through the light reflected by the measurands. The developed model has been applied to determine the parameters involved in the process of characterization of basic geometrical features such as lines, circles and ellipses. The error sources involved along the metrological chain also are analyzed and new models for estimating measurement uncertainties through a new approach based on Bayesian statistics and subpixel resolution are proposed. The validity of the model has been verified by comparing the theoretical results obtained from virtual models and computer simulations, with actual ones, obtained by measuring of various measurands belonging to the electromechanical field and of submillimeter dimensions. Using the proposed model, it is possible to properly characterize measurands from filtering, segmentation and mathematical processing of images. The experimental study and final validation of the results has been carried out in the "Laboratorio de Metrología Dimensional" (Dimensional Metrology Laboratory) at the Escuela Técnica Superior de Ingeniería y Diseño Industrial (ETSIDI) (School of Engineering and Industrial Design) at Universidad Politécnica de Madrid (UPM). The developed models have been implemented on images obtained with the vision measuring machine of the brand TESA, model VISIO 300.