958 resultados para Dunkl Transform


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Mestrado em Engenharia Electrotécnica e de Computadores - Ramo de Sistemas Autónomos

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Proceedings of the Chemistry and Conservation Science

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The development of high spatial resolution airborne and spaceborne sensors has improved the capability of ground-based data collection in the fields of agriculture, geography, geology, mineral identification, detection [2, 3], and classification [4–8]. The signal read by the sensor from a given spatial element of resolution and at a given spectral band is a mixing of components originated by the constituent substances, termed endmembers, located at that element of resolution. This chapter addresses hyperspectral unmixing, which is the decomposition of the pixel spectra into a collection of constituent spectra, or spectral signatures, and their corresponding fractional abundances indicating the proportion of each endmember present in the pixel [9, 10]. Depending on the mixing scales at each pixel, the observed mixture is either linear or nonlinear [11, 12]. The linear mixing model holds when the mixing scale is macroscopic [13]. The nonlinear model holds when the mixing scale is microscopic (i.e., intimate mixtures) [14, 15]. The linear model assumes negligible interaction among distinct endmembers [16, 17]. The nonlinear model assumes that incident solar radiation is scattered by the scene through multiple bounces involving several endmembers [18]. Under the linear mixing model and assuming that the number of endmembers and their spectral signatures are known, hyperspectral unmixing is a linear problem, which can be addressed, for example, under the maximum likelihood setup [19], the constrained least-squares approach [20], the spectral signature matching [21], the spectral angle mapper [22], and the subspace projection methods [20, 23, 24]. Orthogonal subspace projection [23] reduces the data dimensionality, suppresses undesired spectral signatures, and detects the presence of a spectral signature of interest. The basic concept is to project each pixel onto a subspace that is orthogonal to the undesired signatures. As shown in Settle [19], the orthogonal subspace projection technique is equivalent to the maximum likelihood estimator. This projection technique was extended by three unconstrained least-squares approaches [24] (signature space orthogonal projection, oblique subspace projection, target signature space orthogonal projection). Other works using maximum a posteriori probability (MAP) framework [25] and projection pursuit [26, 27] have also been applied to hyperspectral data. In most cases the number of endmembers and their signatures are not known. Independent component analysis (ICA) is an unsupervised source separation process that has been applied with success to blind source separation, to feature extraction, and to unsupervised recognition [28, 29]. ICA consists in finding a linear decomposition of observed data yielding statistically independent components. Given that hyperspectral data are, in given circumstances, linear mixtures, ICA comes to mind as a possible tool to unmix this class of data. In fact, the application of ICA to hyperspectral data has been proposed in reference 30, where endmember signatures are treated as sources and the mixing matrix is composed by the abundance fractions, and in references 9, 25, and 31–38, where sources are the abundance fractions of each endmember. In the first approach, we face two problems: (1) The number of samples are limited to the number of channels and (2) the process of pixel selection, playing the role of mixed sources, is not straightforward. In the second approach, ICA is based on the assumption of mutually independent sources, which is not the case of hyperspectral data, since the sum of the abundance fractions is constant, implying dependence among abundances. This dependence compromises ICA applicability to hyperspectral images. In addition, hyperspectral data are immersed in noise, which degrades the ICA performance. IFA [39] was introduced as a method for recovering independent hidden sources from their observed noisy mixtures. IFA implements two steps. First, source densities and noise covariance are estimated from the observed data by maximum likelihood. Second, sources are reconstructed by an optimal nonlinear estimator. Although IFA is a well-suited technique to unmix independent sources under noisy observations, the dependence among abundance fractions in hyperspectral imagery compromises, as in the ICA case, the IFA performance. Considering the linear mixing model, hyperspectral observations are in a simplex whose vertices correspond to the endmembers. Several approaches [40–43] have exploited this geometric feature of hyperspectral mixtures [42]. Minimum volume transform (MVT) algorithm [43] determines the simplex of minimum volume containing the data. The MVT-type approaches are complex from the computational point of view. Usually, these algorithms first find the convex hull defined by the observed data and then fit a minimum volume simplex to it. Aiming at a lower computational complexity, some algorithms such as the vertex component analysis (VCA) [44], the pixel purity index (PPI) [42], and the N-FINDR [45] still find the minimum volume simplex containing the data cloud, but they assume the presence in the data of at least one pure pixel of each endmember. This is a strong requisite that may not hold in some data sets. In any case, these algorithms find the set of most pure pixels in the data. Hyperspectral sensors collects spatial images over many narrow contiguous bands, yielding large amounts of data. For this reason, very often, the processing of hyperspectral data, included unmixing, is preceded by a dimensionality reduction step to reduce computational complexity and to improve the signal-to-noise ratio (SNR). Principal component analysis (PCA) [46], maximum noise fraction (MNF) [47], and singular value decomposition (SVD) [48] are three well-known projection techniques widely used in remote sensing in general and in unmixing in particular. The newly introduced method [49] exploits the structure of hyperspectral mixtures, namely the fact that spectral vectors are nonnegative. The computational complexity associated with these techniques is an obstacle to real-time implementations. To overcome this problem, band selection [50] and non-statistical [51] algorithms have been introduced. This chapter addresses hyperspectral data source dependence and its impact on ICA and IFA performances. The study consider simulated and real data and is based on mutual information minimization. Hyperspectral observations are described by a generative model. This model takes into account the degradation mechanisms normally found in hyperspectral applications—namely, signature variability [52–54], abundance constraints, topography modulation, and system noise. The computation of mutual information is based on fitting mixtures of Gaussians (MOG) to data. The MOG parameters (number of components, means, covariances, and weights) are inferred using the minimum description length (MDL) based algorithm [55]. We study the behavior of the mutual information as a function of the unmixing matrix. The conclusion is that the unmixing matrix minimizing the mutual information might be very far from the true one. Nevertheless, some abundance fractions might be well separated, mainly in the presence of strong signature variability, a large number of endmembers, and high SNR. We end this chapter by sketching a new methodology to blindly unmix hyperspectral data, where abundance fractions are modeled as a mixture of Dirichlet sources. This model enforces positivity and constant sum sources (full additivity) constraints. The mixing matrix is inferred by an expectation-maximization (EM)-type algorithm. This approach is in the vein of references 39 and 56, replacing independent sources represented by MOG with mixture of Dirichlet sources. Compared with the geometric-based approaches, the advantage of this model is that there is no need to have pure pixels in the observations. The chapter is organized as follows. Section 6.2 presents a spectral radiance model and formulates the spectral unmixing as a linear problem accounting for abundance constraints, signature variability, topography modulation, and system noise. Section 6.3 presents a brief resume of ICA and IFA algorithms. Section 6.4 illustrates the performance of IFA and of some well-known ICA algorithms with experimental data. Section 6.5 studies the ICA and IFA limitations in unmixing hyperspectral data. Section 6.6 presents results of ICA based on real data. Section 6.7 describes the new blind unmixing scheme and some illustrative examples. Section 6.8 concludes with some remarks.

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Hyperspectral remote sensing exploits the electromagnetic scattering patterns of the different materials at specific wavelengths [2, 3]. Hyperspectral sensors have been developed to sample the scattered portion of the electromagnetic spectrum extending from the visible region through the near-infrared and mid-infrared, in hundreds of narrow contiguous bands [4, 5]. The number and variety of potential civilian and military applications of hyperspectral remote sensing is enormous [6, 7]. Very often, the resolution cell corresponding to a single pixel in an image contains several substances (endmembers) [4]. In this situation, the scattered energy is a mixing of the endmember spectra. A challenging task underlying many hyperspectral imagery applications is then decomposing a mixed pixel into a collection of reflectance spectra, called endmember signatures, and the corresponding abundance fractions [8–10]. Depending on the mixing scales at each pixel, the observed mixture is either linear or nonlinear [11, 12]. Linear mixing model holds approximately when the mixing scale is macroscopic [13] and there is negligible interaction among distinct endmembers [3, 14]. If, however, the mixing scale is microscopic (or intimate mixtures) [15, 16] and the incident solar radiation is scattered by the scene through multiple bounces involving several endmembers [17], the linear model is no longer accurate. Linear spectral unmixing has been intensively researched in the last years [9, 10, 12, 18–21]. It considers that a mixed pixel is a linear combination of endmember signatures weighted by the correspondent abundance fractions. Under this model, and assuming that the number of substances and their reflectance spectra are known, hyperspectral unmixing is a linear problem for which many solutions have been proposed (e.g., maximum likelihood estimation [8], spectral signature matching [22], spectral angle mapper [23], subspace projection methods [24,25], and constrained least squares [26]). In most cases, the number of substances and their reflectances are not known and, then, hyperspectral unmixing falls into the class of blind source separation problems [27]. Independent component analysis (ICA) has recently been proposed as a tool to blindly unmix hyperspectral data [28–31]. ICA is based on the assumption of mutually independent sources (abundance fractions), which is not the case of hyperspectral data, since the sum of abundance fractions is constant, implying statistical dependence among them. This dependence compromises ICA applicability to hyperspectral images as shown in Refs. [21, 32]. In fact, ICA finds the endmember signatures by multiplying the spectral vectors with an unmixing matrix, which minimizes the mutual information among sources. If sources are independent, ICA provides the correct unmixing, since the minimum of the mutual information is obtained only when sources are independent. This is no longer true for dependent abundance fractions. Nevertheless, some endmembers may be approximately unmixed. These aspects are addressed in Ref. [33]. Under the linear mixing model, the observations from a scene are in a simplex whose vertices correspond to the endmembers. Several approaches [34–36] have exploited this geometric feature of hyperspectral mixtures [35]. Minimum volume transform (MVT) algorithm [36] determines the simplex of minimum volume containing the data. The method presented in Ref. [37] is also of MVT type but, by introducing the notion of bundles, it takes into account the endmember variability usually present in hyperspectral mixtures. The MVT type approaches are complex from the computational point of view. Usually, these algorithms find in the first place the convex hull defined by the observed data and then fit a minimum volume simplex to it. For example, the gift wrapping algorithm [38] computes the convex hull of n data points in a d-dimensional space with a computational complexity of O(nbd=2cþ1), where bxc is the highest integer lower or equal than x and n is the number of samples. The complexity of the method presented in Ref. [37] is even higher, since the temperature of the simulated annealing algorithm used shall follow a log( ) law [39] to assure convergence (in probability) to the desired solution. Aiming at a lower computational complexity, some algorithms such as the pixel purity index (PPI) [35] and the N-FINDR [40] still find the minimum volume simplex containing the data cloud, but they assume the presence of at least one pure pixel of each endmember in the data. This is a strong requisite that may not hold in some data sets. In any case, these algorithms find the set of most pure pixels in the data. PPI algorithm uses the minimum noise fraction (MNF) [41] as a preprocessing step to reduce dimensionality and to improve the signal-to-noise ratio (SNR). The algorithm then projects every spectral vector onto skewers (large number of random vectors) [35, 42,43]. The points corresponding to extremes, for each skewer direction, are stored. A cumulative account records the number of times each pixel (i.e., a given spectral vector) is found to be an extreme. The pixels with the highest scores are the purest ones. N-FINDR algorithm [40] is based on the fact that in p spectral dimensions, the p-volume defined by a simplex formed by the purest pixels is larger than any other volume defined by any other combination of pixels. This algorithm finds the set of pixels defining the largest volume by inflating a simplex inside the data. ORA SIS [44, 45] is a hyperspectral framework developed by the U.S. Naval Research Laboratory consisting of several algorithms organized in six modules: exemplar selector, adaptative learner, demixer, knowledge base or spectral library, and spatial postrocessor. The first step consists in flat-fielding the spectra. Next, the exemplar selection module is used to select spectral vectors that best represent the smaller convex cone containing the data. The other pixels are rejected when the spectral angle distance (SAD) is less than a given thresh old. The procedure finds the basis for a subspace of a lower dimension using a modified Gram–Schmidt orthogonalizati on. The selected vectors are then projected onto this subspace and a simplex is found by an MV T pro cess. ORA SIS is oriented to real-time target detection from uncrewed air vehicles using hyperspectral data [46]. In this chapter we develop a new algorithm to unmix linear mixtures of endmember spectra. First, the algorithm determines the number of endmembers and the signal subspace using a newly developed concept [47, 48]. Second, the algorithm extracts the most pure pixels present in the data. Unlike other methods, this algorithm is completely automatic and unsupervised. To estimate the number of endmembers and the signal subspace in hyperspectral linear mixtures, the proposed scheme begins by estimating sign al and noise correlation matrices. The latter is based on multiple regression theory. The signal subspace is then identified by selectin g the set of signal eigenvalue s that best represents the data, in the least-square sense [48,49 ], we note, however, that VCA works with projected and with unprojected data. The extraction of the end members exploits two facts: (1) the endmembers are the vertices of a simplex and (2) the affine transformation of a simplex is also a simplex. As PPI and N-FIND R algorithms, VCA also assumes the presence of pure pixels in the data. The algorithm iteratively projects data on to a direction orthogonal to the subspace spanned by the endmembers already determined. The new end member signature corresponds to the extreme of the projection. The algorithm iterates until all end members are exhausted. VCA performs much better than PPI and better than or comparable to N-FI NDR; yet it has a computational complexity between on e and two orders of magnitude lower than N-FINDR. The chapter is structure d as follows. Section 19.2 describes the fundamentals of the proposed method. Section 19.3 and Section 19.4 evaluate the proposed algorithm using simulated and real data, respectively. Section 19.5 presents some concluding remarks.

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Relatório de estágio apresentado à Escola Superior de Comunicação Social como parte dos requisitos para obtenção de grau de mestre em Audiovisual e Multimédia.

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Journal of Biological Inorganic Chemistry (2010)15: 271-281

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RESUMO: Os carcinomas localizados no nariz são muito frequentes em todas as séries conhecidas. São de diagnóstico clínico fácil e a sua confirmação por biópsia é muito segura. As terapêuticas mais indicadas são a cirurgia e a radioterapia, genericamente eficazes. Verifica-se, no entanto, que os pacientes continuam a solicitar tratamento em estádios muito avançados, mesmo conhecendo o diagnóstico e tendo acesso aos serviços sem custos. Esta situação poderá explicar-se face ao curso relativamente lento de muitos destes tumores e à idade geralmente avançada dos doentes que, de acordo com alguns inquéritos, receiam mais a terapeûtica do que a doença. Para obtenção de informação útil para condução deste problema, foram ainda analisados outros parâmetros. A maioria dos pacientes continua a solicitar tratamento quando as lesões envolvem duas subunidades nasais. Esta circunstância permite planear o tratamento cirúrgico com relativa facilidade, isto é, com exérese e reconstrução cujo resultado estético final é bastante aceitável. Os tumores de grandes dimensões, envolvendo várias subunidades, sendo frequentes, raramente implicam rinectomia total. Pelo contrário, são mais frequentes os tumores que envolvem metade do nariz e as estruturas vizinhas tais como o maxilar, a órbita e o lábio superior, atingindo mesmo a base do crânio. O controlo da doença nestes estádios é muito difícil. Não raramente, quando se crê que a doença está controlada, a cirurgia reconstrutiva bem como outras formas de reabilitação conjugadas, deixam ainda muita insatisfação. A nossa actividade tem-se desenvolvido seguindo os critérios adoptados nos melhores centros, isto é, as técnicas clássicas, complementadas com refinamentos recentes. Porém reflectindo sobre os resultados obtidos no tratamento de tumores do nariz, surge-nos um conjunto de questões para as quais ainda não encontrámos respostas cabais. Actuando de acordo com os princípios que definem o estado da arte, não obtivemos ainda resultados que satisfaçam tanto os doentes quanto os cirurgiões. Incessantemente procuramos novos dados técnicos e científicos que nos permitam sair deste ciclo vicioso em que o doente retarda a procura de assistência, receoso de que a terapêutica o deixe desfigurado. Tendo sempre em vista a obtenção dos melhores resultados com o mínimo de tempos cirúrgicos, valorizamos alguns detalhes praticados nos retalhos com padrão vascular bem definido. Dado que as sequelas na zona dadora de tecidos são uma incontornável preocupação, procuramos refinar a sua aplicação no sentido de as atenuarmos. A fronte, excelente zona dadora para reconstrucção nasal major, era sede de sequelas actualmente inaceitáveis. Estudado o comportamento dos tecidos na fronte, depois de levantado o retalho e efectuado o seu encerramento com uso da técnica de expansão intra-operatória, determinámos a presença do Factor de Crescimento Vascular Endotelial no próprio retalho e na zona dadora, tendo em vista que a sua presença poderá explicar o comportamento dos tecidos que foram submetidos a esta técnica. Procurou-se estudar a qualidade da reconstrução em 45 pacientes submetidos a cirurgia de exérese e reconstrução nasal major, assim como a qualidade de vida, relacionada com a doença e a terapêutica. Embora se possa admitir a existência de dados sugestivos de estratégias mais adequadas, não foi possível relacionar a qualidade da reconstrução com qualidade de vida dos pacientes. Poderá eventualmente concluir-se que a observação permanente da reconstrução, com qualidade estética e funcional, será o melhor método de alterar a ideia clássica, ainda muito divulgada, mas já ultrapassada, de que a cirurgia reconstrutiva do nariz não é mais que transformar um defeito horroroso num defeito ridículo.---------------ABSTRACT: Malignant tumours found in the nose are very frequent in all known series. Clinical diagnosis is simple and confirmation of biopsy diagnosis is accessible and safe. The most advisable therapies are surgery and radiotherapy. Despite everything patients continue to wait until the tumour is in an advanced stage before asking for therapy, although they know the diagnosis and have free access to specialised services. This situation could probably be explained by the slow development rate of the tumours which is associated with the age of the patient. Upon inquiry, it was found that a significant number of patients are more afraid of therapy than of the disease itself. Other parameters have been analysed in order to obtain useful information about the management of this problem. The majority of patients seek adequate treatment when the lesions involve two nasal subunits. This allows the programming of surgical therapy with relative ease as they may be removed and reconstructed with interesting final aesthetical results. Large tumours involving several subunits are frequent, but they rarely call for total rhinectomy. On the contrary, tumours more frequently involve half of the nose and their neighbouring structures: for example, maxillary, orbital and upper lip, even reaching as far as the base of the skull. The control of the disease is very difficult in these stages.In cases in which it is believed that the disease is under control, reconstructive surgery in conjunction with other forms of rehabilitation still result in a lot of dissatisfaction. In our activity we try to follow the criteria adopted by the best centres following classic techniques, complemented with recent refinements. Reflecting on the treatment of tumours of the nose has led us to a series of questions to which we haven’t yet found the answers. In accordance with the defined principles of ‘the state of the art’ it still doesn’t satisfy either the patients or the surgeons. We are looking for new technical and scientific data which allows us to leave this vicious cycle, in that the deferred patient avoids looking for assistance, based on the fear that therapy could leave them disfigured. We attach importance to some practiced details on the well-defined vascular pattern of the flaps, with the principle aim of obtaining a good result, from the minimum number of operations. It is known that sequels in donor sites are a concern, so applied refinements are used in order to reduce the defect. The forehead has been considered an excellent donor site for major nasal reconstruction but the area of sequel is nowadays unacceptable. We tried to study the behaviour of the tissues of the forehead after taking the flap and closing the wound, using the intraoperative expansion technique. We determined the presence of Vascular Endothelial Growth Factor in the flaps and in the donor site, in which its presence could explain the behaviour of the tissues of the forehead that are submitted to this technique. The quality of the reconstruction was studied in 45 patients who were submitted to surgical exeresisand major nasal reconstruction, as was the relationship between the disease and the therapy regarding quality of life. It was not possible to directely relate the quality of the reconstruction to the quality of patients life, although some suggestive data of more adequate manegement may be interesting. One might eventually conclude that, permanent exposure of the reconstruction with aesthetic and funcional quality would be the best method in order to modify the classic idea which is still known although overridden today, that nasal reconstruction could transform a horrible defect into a ridiculous one.-------RÉSUMÉ: Les carcinomes situés sur le nez sont très fréquents dans toutes les séries connues. Ils sont de diagnostic facile et la confirmation de ce dernier par une biopsie, est accessible et très fiable. La chirurgie et la radiothérapie sont les thérapeutiques les mieux indiquées. Toutefois les patients continuent de solliciter un traitement, seulement dans des états très avancés bien qu’ils aient eu connaissance du diagnostic et ayant accès aux services. Cette situation pourra probablement s’expliquer par l’évolution relativement indolente de beaucoup de tumeurs, associée à l’âge des malades; bien que selon quelques enquêtes réalisées un nombre élevé de malades craint davantage la thérapeutique que la maladie. D’autres paramètres sont analysés en vue d’obtenir des informations utiles pour l’accompagnement de ce problème. La majorité de nos patients sollicite le traitement adéquat quand les lésions entourent deux sous-unités nasales, ce qui permet de planifier le traitement chirurgique avec une certaine facilité, c’est à dire l’exérèse et la reconstruction ayant un résultat final esthétique généralement très acceptable. Les tumeurs de grandes dimensions entourant différentes sous-unités sont fréquentes mais elles impliquent rarement une amputation nasal total. Au contraire, les tumeurs les plus fréquentes sont celles qui entourent la moitié du nez et les structures voisines comme le maxillaire, l’orbite et la lèvre supérieure, parfois, elles peuvent même atteindre la base du crâne. Le contrôle de la maladie dans ces états est très difficile et quand nous pensons que la maladie est contrôlée, la chirurgie reconstructrice associée à d’autres formes de réhabilitation provoquent encore une grande insatisfaction. Nous exerçons notre activité en essayant de suivre les critères adoptés dans les meilleurs centres. Nous appliquons les techniques classiques complétées de retouches pour obtenir un meilleur resultat. Le fait de traiter les tumeurs nasales nous fait réfléchir et poser un ensemble de questions auxquelles nous n’avons pas pu trouver de réponses. En actuant en accord avec les principes qui définissent l’état de l’art, nous n’avons pas obtenu de résultats qui satisfassent les malades et les chirurgiens. Nous recherchons de nouvelles données techniques et scientifiques qui nous permettent de sortir de ce cercle vicieux dans lequel le patient retarde la recherche d’aide craignant que la thérapeutique le défigure. Nous valorisons certains détails pratiqués sur les lambeaux de patron vasculaire bien défini et ayant comme principaux objectifs l’obtention d’un bon résultat en moins de temps de chirurgie. Nous savons que les séquelles de la zone donneuse de tissus sont préoccupantes, ainsi, que les retouches qui ont été appliqués dans l’objectif de les atténuer. Le front, excellente zone donneuse pour la reconstruction nasale majeure, était une source de séquelle actuellement inacceptable. Nous avons étudié le comportement des tissus du front après avoir relevé le lambeau et effectué la fermeture avec la technique de l’expansion intraoperative. Nous avons déterminé la présence du Facteur de Croissance Vasculaire Endothéliale dans le propre lambeau et dans la zone donneuse, celle-ci pourra expliquer le comportement des tissus du front qui ont été soumis à cette technique. On a essayé d´etudier la qualité de la reconstruction sur 45 patients soumis à la chirurgie d´exérèse et la reconstruction nasal majeure, ainsi comme la qualité de vie en relation avec la maladie et la thérapie. Quoique l´on puisse conclure par l´existence des données subjectives des stratégies plus justes, il est impossible de faire un rapport sur la qualité de la reconstruction avec la qualité de vie des patients. Eventuellement l´on purrait conclure que l´observation permanente de la reconstruction avec qualité esthétique et fonctionnelle, se serait la meilleure méthod de changer l´idée classique, mais depassée, de que la rhinopoièse n´est pas que transformer un affreux défaut par un défaut ridicule.

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Ao longo dos últimos anos, acompanhada da evolução tecnológica, da dificuldade da inspeção visual e da consciencialização dos efeitos de uma má inspeção, verificou-se uma maior sensibilidade para a importância da monitorização estrutural, principalmente nas grandes infra-estruturas de engenharia civil. Os sistemas de monitorização estrutural permitem o acompanhamento contínuo do comportamento de uma determinada estrutura de tal forma que com os dados obtidos, é possível avaliar alterações no comportamento da mesma. Com isso, tem-se desenvolvido e implementado estratégias de identificação de danos estruturais com o intuito de aumentar a fiabilidade estrutural e evitar precocemente que alterações na condição da estrutura possam evoluir para situações mais severas. Neste contexto, a primeira parte desta dissertação consiste numa introdução à monitorização estrutural e à deteção de dano estrutural. Relativamente à monitorização, são expostos os seus objetivos e os princípios da sua aplicação. Conjuntamente são apresentados e descritos os principais sensores e são explicadas as funcionalidades de um sistema de aquisição de dados. O segundo tema aborda a importância da deteção de dano introduzindo os métodos estudados neste trabalho. Destaca-se o método das linhas de influência, o método da curvatura dos modos de vibração e o método da transformada de wavelet. Na segunda parte desta dissertação são apresentados dois casos de estudo. O primeiro estudo apresenta uma componente numérica e uma componente experimental. Estuda-se um modelo de viga que se encontra submetida a vários cenários de dano e valida-se a capacidade do método das linhas de influência em detetar e localizar essas anomalias. O segundo estudo consiste na modelação numérica de uma ponte real, na posterior simulação de cenários de dano e na análise comparativa da eficácia de cada um dos três métodos de deteção de dano na identificação e localização dos danos simulados. Por último, são apresentadas as principais conclusões deste trabalho e são sugeridos alguns tópicos a explorar na elaboração de trabalhos futuros.

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In a highly competitive market companies know that having quality products or provide good services is not enough to keep customers "faithful". Currently, quality of products/services, location and price are fundamental aspects customers expect to get on every purchase, so they look for ways to distinguish companies. This can happen either in a strictly materialistic way or by evaluation of intangible metrics such as having his opinion appreciated or being part of a selected group of "premium" customers. Therefore, companies must find ways to value and reward its customers in order to keep them "faithful" to their products or services. Loyalty systems are one means to achieve this goal, however, due to its nature and how they are implemented, often companies end up having low acceptance, without achieving intended objectives. In an era of technological revolution, where global average adoption of smartphones and tablets is 74% and 40% [Our Mobile Planet, 2014], the opportunity to reinvent loyalty systems reappears. Throughout this thesis a new tool, relying on the latest technologies and aiming to fulfill this market opportunity, will be presented. The main idea is to use ancient loyalty concepts, such as stamps or pointscards, and transforms them into digital cards, to be used in digital wallets, introducing an innovative technology component based on Apple's Passbook technology. The main goal is to create a platform for managing the card’s life cycle, allowing anyone to create, edit, distribute and analyze the data, and also create a new communication channel with customers, improving the customer-­‐supplier relationship and enhancing the mobile-­‐marketing.

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O trabalho descrito compreende o desenvolvimento de um anticorpo plástico (MIP, do inglês Molecularly Imprinted Polymer) para o antigénio carcinoembrionário (CEA, do inglês Carcinoembriogenic Antigen) e a sua aplicação na construção de dispositivos portáteis, de tamanho reduzido e de baixo custo, tendo em vista a monitorização deste biomarcador do cancro do colo-retal em contexto Point-of-Care (POC). O anticorpo plástico foi obtido por tecnologia de impressão molecular orientada, baseada em eletropolimerização sobre uma superfície condutora de vidro recoberto por FTO. De uma forma geral, o processo foi iniciado pela electropolimerização de anilina sobre o vidro, seguindo-se a ligação por adsorção do biomarcador (CEA) ao filme de polianilina, com ou sem monómeros carregados positivamente (Cloreto de vinilbenziltrimetilamónio, VB). A última fase consistiu na electropolimerização de o-fenilenodiamina (oPD) sobre a superfície, seguindo-se a remoção da proteína por clivagem de ligações peptídicas, com o auxílio de tripsina. A eficiência da impressão do biomarcador CEA no material polimérico foi controlada pela preparação de um material análogo, NIP (do inglês, Non-Imprinted Polymer), no qual nem a proteína nem o monómero VB estavam presentes. Os materiais obtidos foram caracterizados quimicamente por técnicas de Infravermelho com Transformada de Fourier (FTIR, do inglês, Fourier Transform Infrared Spectroscopy) e microscopia confocal de Raman. Os materiais sensores preparados foram entretanto incluídos em membranas poliméricas de Poli(cloreto de vinilo) (PVC) plastificado, para construção de sensores (biomiméticos) seletivos a CEA, tendo-se avaliado a resposta analítica em diferentes meios. Obteve-se uma boa resposta potenciométrica em solução tampão de Ácido 4-(2-hidroxietil)piperazina-1-etanosulfónico (HEPES), a pH 4,4, com uma membrana seletiva baseada em MIP preparada com o monómero carregado VB. O limite de deteção foi menor do que 42 pg/mL, observando-se um comportamento linear (versus o logaritmo da concentração) até 625 pg/mL, com um declive aniónico igual a -61,9 mV/década e r2>0,9974. O comportamento analítico dos sensores biomiméticos foi ainda avaliado em urina, tendo em vista a sua aplicação na análise de CEA em urina. Neste caso, o limite de deteção foi menor do que 38 pg/mL, para uma resposta linear até 625 pg/mL, com um declive de -38,4 mV/década e r2> 0,991. De uma forma geral, a aplicação experimental dos sensores biomiméticos evidenciou respostas exatas, sugerindo que os biossensores desenvolvidos prossigam estudos adicionais tendo em vista a sua aplicação em amostras de indivíduos doentes.

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Trabalho apresentado no âmbito do Mestrado em Engenharia Informática, como requisito parcial para obtenção do grau de Mestre em Engenharia Informática

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Dissertação apresentada na Faculdade de Ciências e Tecnologia da Universidade Nova de Lisboa para a obtenção do grau de Mestre em Conservação e Restauro, especialização em pintura sobre tela

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Human chorionic gonadotropin (hCG) is a key diagnostic marker of pregnancy and an important biomarker for cancers in the prostate, ovaries and bladder and therefore of great importance in diagnosis. For this purpose, a new immunosensor of screen-printed electrodes (SPEs) is presented here. The device was fabricated by introducing a polyaniline (PANI) conductive layer, via in situ electropolymerization of aniline, onto a screen-printed graphene support. The PANI-coated graphene acts as the working electrode of a three terminal electrochemical sensor. The working electrode is functionalised with anti-hCG, by means of a simple process that enabled oriented antibody binding to the PANI layer. The antibody was attached to PANI following activation of the –COOH group at the Fc terminal. Functionalisation of the electrode was analysed and optimized using Electrochemical Impedance Spectroscopy (EIS). Chemical modification of the surface was characterised using Fourier transform infrared, and Raman spectroscopy with confocal microscopy. The graphene–SPE–PANI devices displayed linear responses to hCG in EIS assays from 0.001 to 50 ng mL−1 in real urine, with a detection limit of 0.286 pg mL−1. High selectivity was observed with respect to the presence of the constituent components of urine (urea, creatinine, magnesium chloride, calcium chloride, sodium dihydrogen phosphate, ammonium chloride, potassium sulphate and sodium chloride) at their normal levels, with a negligible sensor response to these chemicals. Successful detection of hCG was also achieved in spiked samples of real urine from a pregnant woman. The immunosensor developed is a promising tool for point-of-care detection of hCG, due to its excellent detection capability, simplicity of fabrication, low-cost, high sensitivity and selectivity.

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A novel reusable molecularly imprinted polymer (MIP) assembled on a polymeric layer of carboxylated poly(vinyl chloride) (PVCsingle bondCOOH) for myoglobin (Myo) detection was developed. This polymer was casted on the gold working area of a screen printed electrode (Au-SPE), creating a novel disposable device relying on plastic antibodies. Electrochemical impedance spectroscopy (EIS), cyclic voltammetry (CV) and Fourier transform infrared spectroscopy (FTIR) studies confirmed the surface modification. The MIP/Au-SPE devices displayed a linear behaviour in EIS from 0.852 to 4.26 μg mL−1, of positive slope 6.50 ± 1.48 (kΩ mL μg−1). The limit of detection was 2.25 μg mL−1. Square wave voltammetric (SWV) assays were made in parallel and showed linear responses between 1.1 and 2.98 μg mL−1. A current decrease was observed against Myo concentration, producing average slopes of −0.28 ± 0.038 μA mL μg−1. MIP/Au-SPE also showed good results in terms of selectivity. The error% found for each interfering species were 7% for troponin T (TnT), 11% for bovine serum albumin (BSA) and 2% for creatine kinase MB (CKMB), respectively. Overall, the technical modification over the Au-SPE was found a suitable approach for screening Myo in biological fluids.

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This paper studies several topics related with the concept of “fractional” that are not directly related with Fractional Calculus, but can help the reader in pursuit new research directions. We introduce the concept of non-integer positional number systems, fractional sums, fractional powers of a square matrix, tolerant computing and FracSets, negative probabilities, fractional delay discrete-time linear systems, and fractional Fourier transform.