A. Adan et al., Modeling wave set: Definition and application of a new topological organization for 3D object modeling, COMP VIS IM, 79(2), 2000, pp. 281-307
In this paper we deal with the problem of constructing geometric models fro
m 3D data points from the surface of real objects. The model generated by o
ur system handles a complete mesh of the object surface obtained by deforma
tion of an initial mesh. Basic topologies, such as three or six connectivit
y, provide a local and poor characterization in the representation mesh. Th
erefore, we have introduced a new topological organization called modeling
wave set (MWS) where an n-connectivity relationship is established. With th
e MWS, an object is simultaneously modeled in n subspaces of features, corr
esponding to n different viewing directions of the object. The use of MWS a
llows for new solutions to typical computer vision problems, such as recogn
ition and positioning, to be found, Our paper shows this topology and the w
ay it has been tested in detail. Partial modeling based on MWS is a promisi
ng research line along which we have started to work and to obtain satisfac
tory results. (C) 2000 Academic Press.