Title
Constructing piecewise linear homeomorphisms of simple polygons
Abstract
Let P and Q be simple polygons with vertex sets fp1 ; : : : ; png andfq1 ; : : :, qng, respectively. We present an algorithm to construct a piecewiselinear homeomorphism between P and Q mapping each vertex p i 2 Pto q i 2 Q by constructing isomorphic triangulations of P and Q. Theseisomorphic triangulations consist of O(M log n+n log2n) triangles whereM is the size of the optimal (minimum size) solution. The algorithm runsin O(M log n + n log2n) time. We also give an O(n + L +...
Year
DOI
Venue
1997
10.1006/jagm.1995.0808
J. Algorithms
Keywords
Field
DocType
piecewise linear homeomorphisms,simple polygon,computer science,piecewise linear
Discrete mathematics,Polygon,Combinatorics,Disjoint sets,Vertex (geometry),Computational geometry,Isomorphism,Simple polygon,Piecewise linear function,Mathematics,Homeomorphism
Journal
Volume
Issue
ISSN
22
1
0196-6774
Citations 
PageRank 
References 
14
1.12
6
Authors
2
Name
Order
Citations
PageRank
Himanshu Gupta12653277.86
Rephael Wenger244143.54