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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
and
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
10.1080/10867651.2003.10487591
language
English
LU publication?
yes
id
7805add2-eefb-40d7-b8f3-19158f7c9cc1 (old id 746872)
date added to LUP
2016-04-01 12:11:45
date last changed
2021-05-06 16:19:09
@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/10.1080/10867651.2003.10487591}},
  doi          = {{10.1080/10867651.2003.10487591}},
  volume       = {{8}},
  year         = {{2003}},
}