Seguidament estan tot el gruix paquet de persones que s'han encarregat de la meua formació, cosa complicada el mencionar-les a totes les que han exercit sobre mi eixa influència positiva i han aconseguit entre totes fer de mi el qui he arribat a ser. Els primers mestres a qui estic agraït són a Juanito i Trini, els millors professors que he tingut, que m'han impartit assignatures tan importants com respecte, convivència i sentit comú, i m'han esculpit dia rere dia. Comentar als professors que varen despertar en mi les llavors del dubte, del descobrir, del "anar més enllà", ja des de la secundària fins la facultat, José Maria (per ser tan obert), José (per fer dels autòmats màquines perfectes), Valentí (per fer de l'abstracte lo comprensible),Àlvar, Vicent i molts més que no caben ací. Gràcies especialment al Dr. Valentín Gregori Gregori, per la seua confiança i paciència com a director d'aquesta Tesis Doctoral, amb la que culmina la meua formació.
En tercer lloc, agrair a les persones que dins del món universitari han sabut ajudar-me i fer-me mes pla aquest camí llarg i complicat: Alman, Samuel, Jordi, Bernardino, Vicent, Alfred i un llarg etc. Seguidament anomenar a la gent que han fet que la vida fora del ambient universitari fora més divertit, Alman, Pep, Jordi E., Marc, Jordi B. (amb les respectives, clar està); Vicent, Cristià, Emili, Pablo, Raul, Oscar ; A tota
AbstractImage filtering is an essential image processing task for almost every computer vision system where images are used for automatic analysis or for human inspection. In fact, noise contaminating an image may be a major drawback for most other image processing tasks like, for instance, image analysis, edge detection or pattern and/or object recognition and hence, it should be reduced. Similarly, increasing of resolution and image size conduces to high computational requirements, that should been decrease, especially for real time applications and so.In the last years, the interest in using colour images has grown dramatically in a variety of applications. Therefore, colour image filtering has become an interesting area of research. It has been widely observed that colour images have to be processed taking into account the existing correlation among image channels. Probably, the most well-known approach in this sense is the vector approach. Earliest vector filtering solutions as, for instance, the vector median filter (VMF) or the vector directional filter (VDF). Unfortunately, these techniques are non-adaptive to local image statistics which implies that the processed images are usually blurred in edges and image details. To overcome this drawback, a number of adaptive vector processing solutions have been recently proposed, and a well-down approach are the peer group techniques. In last years, the theory of fuzzy sets (topologies, metrics and logic) has been developed, and they are a good mathematical tool to use in image filtering.This PhD dissertation main goals are: (i) the study of fuzzy metrics applicability in colour image filter...
