@article{Seong:2006:PSG,
optpostscript = {},
number = {2},
month = feb,
author = {JoonKyung Seong and KuJin Kim and MyungSoo Kim and Gershon
Elber},
optkey = {},
optannote = {},
localfile = {papers/Seong.2006.PSG.pdf},
optkeywords = {},
doi = {http://dx.doi.org/10.1007/s0037100603711},
optciteseer = {},
journal = jTVC,
opturl = {},
volume = {22},
optwww = {},
title = {{P}erspective {S}ilhouette of a {G}eneral {S}wept {V}olume},
abstract = {We present an efficient and robust algorithm for computing the
perspective silhouette of the boundary of a general swept volume.
We also construct the topology of connected components of the
silhouette. At each instant t, a threedimensional object moving
along a trajectory touches the envelope surface of its swept
volume along a characteristic curve Kt. The same instance of the
moving object has a silhouette curve Lt on its own boundary. The
intersection Kt?Lt contributes to the silhouette of the general
swept volume. We reformulate this problem as a system of two
polynomial equations in three variables. The connected components
of the resulting silhouette curves are constructed by detecting
the instances where the two curves Kt and Lt intersect each other
tangentially on the surface of the moving object. We also consider
a general case where the eye position changes while moving along a
predefined path. The problem is reformulated as a system of two
polynomial equations in four variables, where the zeroset is a
twomanifold. By analyzing the topology of the zeroset, we
achieve an efficient algorithm for generating a continuous
animation of perspective silhouettes of a general swept volume.},
pages = {109116},
year = {2006},
}
