A new definition and calculation for the average normal to a polygon

Authors
Liang, YD
Citation
Yd. Liang, A new definition and calculation for the average normal to a polygon, SCI CHINA E, 43(5), 2000, pp. 519-523
Citations number
3
Categorie Soggetti
Engineering Management /General
Journal title
SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES
ISSN journal
20950624 → ACNP
Volume
43
Issue
5
Year of publication
2000
Pages
519 - 523
Database
ISI
SICI code
2095-0624(200010)43:5<519:ANDACF>2.0.ZU;2-C
Abstract
This paper presents a new definition of the average normal to a polygon by introducing a cone bounded by the polygon, computing its normals and averag ing the result. The equivalence of this new definition and that of Newell's is given, and a simple calculation based on this new definition is obtaine d and 3 N additions and N subtractions are saved, where N is the number of the vertices of the polygon.