Abstract
An enclosure is a point set which contains all of the points of a given set: in our case, all the points of the limit curve or of some specific piece of it. This allows us to test cheaply whether there are any points of the piece of curve within some test region. For example, if the enclosures of two pieces of curve have no points in common, then the two curves cannot intersect.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Sabin, M. (2010). Enclosures. In: Analysis and Design of Univariate Subdivision Schemes. Geometry and Computing, vol 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13648-1_5
Download citation
DOI: https://doi.org/10.1007/978-3-642-13648-1_5
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-13647-4
Online ISBN: 978-3-642-13648-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)