Title
On the injectivity of Wachspress and mean value mappings between convex polygons
Abstract
Wachspress and mean value coordinates are two generalizations of triangular barycentric coordinates to convex polygons and have recently been used to construct mappings between polygons, with ap- plication to curve deformation and image warping. We show that Wachspress mappings between convex polygons are always injective but that mean value mappings can fail to be so in extreme cases.
Year
DOI
Venue
2010
10.1007/s10444-008-9098-z
Adv. Comput. Math.
Keywords
Field
DocType
Barycentric coordinates,Wachspress coordinates,Mean value coordinates,Injectivity,65D17,26B10
Polygon,Mathematical optimization,Image warping,Mean value,Injective function,Generalization,Mathematical analysis,Barycentric coordinates,Regular polygon,Mathematics,Barycentric coordinate system
Journal
Volume
Issue
ISSN
32
2
1019-7168
Citations 
PageRank 
References 
14
0.76
14
Authors
2
Name
Order
Citations
PageRank
Michael S. Floater11333117.22
Jirí Kosinka28417.76