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On the degree of vertices in a shadow volume silhouette

Akenine-Möller, Tomas LU and Assarsson, Ulf (2003) In Journal of Graphics Tools 8(4). p.21-24
Abstract
In shadow volume rendering, the shadow volume silhouette edges are used to create primitives that model the shadow volume. A common misconception is that the vertices on such silhouettes can only be connected to two silhouette edges, i.e., have degree two. Furthermore, some believe that such a vertex can have any degree. In this short note, we present a geometric proof that shows that the degree of a silhouette vertex must be even, and not necessarily two.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Graphics Tools
volume
8
issue
4
pages
21 - 24
publisher
AK Peters
ISSN
2151-237X
DOI
language
English
LU publication?
yes
id
7805add2-eefb-40d7-b8f3-19158f7c9cc1 (old id 746872)
date added to LUP
2008-01-21 12:23:08
date last changed
2018-05-29 09:24:30
@article{7805add2-eefb-40d7-b8f3-19158f7c9cc1,
  abstract     = {In shadow volume rendering, the shadow volume silhouette edges are used to create primitives that model the shadow volume. A common misconception is that the vertices on such silhouettes can only be connected to two silhouette edges, i.e., have degree two. Furthermore, some believe that such a vertex can have any degree. In this short note, we present a geometric proof that shows that the degree of a silhouette vertex must be even, and not necessarily two.},
  author       = {Akenine-Möller, Tomas and Assarsson, Ulf},
  issn         = {2151-237X},
  language     = {eng},
  number       = {4},
  pages        = {21--24},
  publisher    = {AK Peters},
  series       = {Journal of Graphics Tools},
  title        = {On the degree of vertices in a shadow volume silhouette},
  url          = {http://dx.doi.org/},
  volume       = {8},
  year         = {2003},
}