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abstract |
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Progressive point set surfaces (PPSS) are a multilevel point-based surface
representation. They combine the usability of multilevel scalar displacement
maps (e.g. compression, filtering, modeling) with the generality of
point-based surface representations (i.e. no fixed homology group or
continuity class). The multiscale nature of PPSS fosters the idea of
point-based modeling. The basic building block for the construction of PPSS
is a projection operator, which maps points in the proximity of the shape
onto local polynomial surface approximations. The projection operator allows
the computing of displacements from smoother to more detailed levels. Based
on the prop-erties of the projection operator we derive an algorithm to
construct a base point set. Starting from this base point set, a refinement
rule using the projection operator constructs a PPSS from any given manifold
surface.
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