@unpublished{upm43017,
           month = {June},
           title = {Modelizaci{\'o}n de curvas y superficies digitales},
          author = {Antonio G{\'a}lvez Montes},
         address = {Madrid, Espa{\~n}a},
            year = {2015},
             url = {http://oa.upm.es/43017/},
        abstract = {Este trabajo se enmarca en el campo de la topolog{\'i}a digital y en particular en las relaciones entre las nociones de continuidad digital multivaluada y de curva y superficie digital. Por un lado se pretende estudiar la relaci{\'o}n entre estos dos conceptos, partiendo de la ob-servaci{\'o}n de que, en caso real, las gr{\'a}ficas de funciones continuas son curvas y superfi-cies.
Por otra parte, bas{\'a}ndonos en el estudio realizado, dise{\~n}aremos e implementaremos algorit-mos para, dada la gr{\'a}fica de una funci{\'o}n continua (de {$R$} en {$R$}, o de {$R$} 2 en {$R$}) y su digitali-zaci{\'o}n, obtener curvas o superficies digitales topol{\'o}gicamente similares a las gr{\'a}ficas conti-nuas, partiendo de su digitalizaci{\'o}n.---ABSTRACT---This work is included in the field of digital topology, particularly in the link between the concepts of digital multivalued continuity and those of digital curve and surface.
On one side, we pretend to study the link between these two concepts, starting from the ob-servation that, on the continuous case, the images of continuous functions are curves and surfaces.
Additionally, based on this study, we will design and implement algorithms to, given the image of a continuous function (from {$R$} to {$R$}, or {$R$}2 to {$R$}) and its digitization, obtain digital curves or surfaces topologically similar to those images, based on the digitization.}
}