Representing manifolds and more generally arbitrary continuous subsets by dense point sets instead of algebraic complexes or other discrete representations with explicit topology seems to avoid many of the problems of discrete representations. It has been used mainly for rendering in point-based rendering, but may also be of use for other geometric modelling tasks.
In particular we are working on sampling, differential geometry on point representations, simulations and some related issues. Linking a low level point representation with quite high level geometry descriptions may also be useful for modelling.
Cite as
Point-based Modelling,http://www.langbein.org/research/points by Frank C Langbein [10/June/2009, 15:22].
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