Title
Reconstruction of Canonical hv-Convex Discrete Sets from Horizontal and Vertical Projections
Abstract
The problem of reconstructing some special hv -convex discrete sets from their two orthogonal projections is considered. In general, the problem is known to be NP-hard, but it is solvable in polynomial time if the discrete set to be reconstructed is also 8-connected. In this paper, we define an intermediate class --- the class of hv -convex canonical discrete sets --- and give a constructive proof that the above problem remains computationally tractable for this class, too. We also discuss some further theoretical consequences and present experimental results as well.
Year
DOI
Venue
2009
10.1007/978-3-642-10210-3_22
IWCIA
Keywords
Field
DocType
computationally tractable,special hv,discrete set,constructive proof,intermediate class,present experimental result,polynomial time,orthogonal projection,vertical projections,convex discrete set,convex canonical discrete set,reconstruction
Constructive proof,Horizontal and vertical,Mathematical optimization,Discrete tomography,Regular polygon,Time complexity,Mathematics
Conference
Volume
ISSN
Citations 
5852
0302-9743
6
PageRank 
References 
Authors
0.49
8
1
Name
Order
Citations
PageRank
Péter Balázs1318.25