On the degree of vertices in a shadow volume silhouette
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/746872
- author
- Akenine-Möller, Tomas LU and Assarsson, Ulf
- organization
- publishing date
- 2003
- 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}}, }