@article{Plantinga:2006:CCG,
optpostscript = {},
number = {4},
month = oct,
author = {Simon Plantinga and Gert Vegter},
optkey = {},
optannote = {},
localfile = {papers/Plantinga.2006.CCG.pdf},
optkeywords = {},
doi = {http://doi.acm.org/10.1145/1183287.1183288},
optciteseer = {},
journal = jTOG,
opturl = {},
volume = {25},
optwww = {},
title = {{C}omputing {C}ontour {G}enerators of {E}volving {I}mplicit
{S}urfaces},
abstract = {The contour generator is an important visibility feature of a
smooth object seen under parallel projection. It is the curve on
the surface which separates frontfacing from backfacing regions.
The apparent contour is the projection of the contour generator
onto a plane perpendicular to the view direction. Both curves play
an important role in computer graphics.Our goal is to obtain fast
and robust algorithms that compute the contour generator with a
guarantee of topological correctness. To this end, we first study
the singularities of the contour generator and apparent contour
for both generic views and generic timedependent projections, for
example, when the surface is rotated or deformed. The
singularities indicate when components of the contour generator
merge or split as time evolves.We present an algorithm to compute
an initial contour generator by using a dynamic step size. An
interval test guarantees the topological correctness. This initial
contour generator can thus be maintained under a timedependent
projection by examining its singularities.},
pages = {12431280},
year = {2006},
}
