Algorithms for super-resolution of images based on Sparse Representation and Manifolds

lmage super-resolution is defined as a class of techniques that enhance the spatial resolution of images. Super-resolution methods can be subdivided in single and multi image methods. This thesis focuses on developing algorithms based on mathematical theories for single image super­ resolution problems. lndeed, in arder to estimate an output image, we adopta mixed approach: i.e., we use both a dictionary of patches with sparsity constraints (typical of learning-based methods) and regularization terms (typical of reconstruction-based methods). Although the existing methods already per- form well, they do not take into account the geometry of the data to: regularize the solution, cluster data samples (samples are often clustered using algorithms with the Euclidean distance as a dissimilarity metric), learn dictionaries (they are often learned using PCA or K-SVD). Thus, state-of-the-art methods still suffer from shortcomings. In this work, we proposed three new methods to overcome these deficiencies. First, we developed SE-ASDS (a structure tensor based regularization term) in arder to improve the sharpness of edges. SE-ASDS achieves much better results than many state-of-the- art algorithms. Then, we proposed AGNN and GOC algorithms for determining a local subset of training samples from which a good local model can be computed for recon- structing a given input test sample, where we take into account the underlying geometry of the data. AGNN and GOC methods outperform spectral clustering, soft clustering, and geodesic distance based subset selection in most settings. Next, we proposed aSOB strategy which takes into account the geometry of the data and the dictionary size. The aSOB strategy outperforms both PCA and PGA methods. Finally, we combine all our methods in a unique algorithm, named G2SR. Our proposed G2SR algorithm shows better visual and quantitative results when compared to the results of state-of-the-art methods.

O ensino de química na educação de jovens e adultos do ensino médio no município de Itumbiara-GO

For this study, a research was conducted in order to answer the question "What chemistry teaching has been developed in the Youth and Adult Education (EJA) ?". The research provides an overview of the object to the proposed changes, leading students to live with different realities and investigating the issue of contextualization based on the daily lives of these students related to the subject of chemistry. The methodology focuses ethnographic research of the case study, in which a case is studied in depth using the participant observation. In the survey data a mixed qualitative and quantitative approach was used. The work involved 6 schools that offer adult education high school; 6 directors of these schools; 6 coordinators who work in adult education; 6 Chemistry teachers and 123 students of the EJA, level high school, enrolled in the 1st, 2nd, 3rd and 4th periods. The first stage of the research consisted of questionnaires in schools where everyone involved responded closed and open questions applied to each specific group. In the second stage two schools were selected in order to conduct a deeper knowledge of adult education through practical activities of Chemistry and subsequent interview conducted in groups with students. Three teachers were also interviewed to enable a deepening of issues relating to EJA and Chemistry Teaching. The interviews were analyzed by the technique of Discursive Textual Analysis (ATD). The main issues addressed in the questionnaires and interviews were on the school structure, reasons that lead students to drop out or remained in adult education and those who make the stay, the view of those involved of the importance of chemistry discipline for students of EJA and how this should be offered. It is necessary that we need to promote changes in the chemistry class and its activities, respecting the experiences and experience already gained by the student during his life story. Another factor to be highlighted is the need for ongoing training of teachers working in adult education. Note that your continued education is given more by the experience and the ways in which they try to overcome adverse situations. The Chemistry subject taught is not agree with the principles of EJA and practiced curriculum is just an adaptation or content reduction from the regular curriculum. The improvement in chemistry teaching of EJA will take place through a dialogue between those involved in the process, clearer educational policies and willingness to implement change. Thus the teaching of chemistry contribute to the students of the EJA are actually scientifically literate and integrated into society.