thesis

Modelação matemática da variação da temperatura no pé

Abstract

Este trabalho tem como objectivo principal a modelação matemática da distribuição da temperatura em pés em pessoas saudáveis. Para tal, consideram-se imagens térmicas da planta dos pés de quinze voluntários entre os 21 e 43 anos. As imagens obtidas através da câmara térmica FLIR 365, foram processadas utilizando duas técnicas de processamento de imagens distintas: a técnica de Region Growing e Watershad. Neste procedimento conclui-se que se obtinha melhores resultados usando a técnica de Region Growing, obtendo-se a matriz da distribuição da temperatura de cada pé. Com a matriz obtida, usando a técnica descrita anteriormente, foram testadas cinco modelações diferentes combinadas com cinco técnicas de optimização não linear. Dos resultados obtidos pode-se concluir que as melhores modelações são baseadas na soma de quadrados de funções trigonométricas. The main objective of this work is to find a mathematical model of temperature distribution in feet in healthy people. We consider feet thermal images of fifteen volunteers between 21 and 43 years. The images obtained though the thermal camera FLIR 365, were processed using two diferent image processing techniques: the techique of Region Growing and Watershad. In this procedure, it was concluded that better results are obtained using the technique of Region Growing to obtain the matrix of temperature distribution of each foot. With the temperature distribution matrix, obtained using the technique described above, were tested five different modeling combined with five nonlinear optimization techniques. From our results, we can conclude that the best modeling is based on the sum of squares of trigonometric functions. In terms of professional practice in construction in Portugal, the graduate professionals are architects, civil engineers and technical civil engineers. In order to legally practise in the field, architects must be registered in the Order of Architects, civil engineers with the Order of Engineers and technical civil engineers with the Professional Association of Technical Engineers. The legal framework for the activity of these different professions has long been established by the Decree Law 73/1973. As regards the construction management profession, these professionals are not obliged by law to fulfil any specific educational requirements nor are they subject to any legal regime regulating their activities. However, it is generally recognised that the Institutions of Higher Education in Portugal do not provide the competencies required for an efficient practice in the area of construction management. The Bologna Model establishes that the definition of the objectives of the course subjects be centred in terms of the learning outcomes. It appears that with the new curricula structure, which emphasises competencies to be acquired, the institutions of higher education are better prepared to mach their educational activities with the needs of business community

    Similar works