Title
Approximation of canonical sets and their applications to 2D view simplification
Abstract
Given a set of patterns and a similarity measure between them, we will present an optimization framework to approximate a small subset, known as a canonical set, whose members closely resemble the members of the original set. We will present a combinatorial formulation of the canonical set problem in terms of quadratic optimization integer programming, present a relaxation through semidefinite programming, and propose a bounded performance rounding procedure for its approximation solution in polynomial time. Through a set of experiments we will investigate the application of canonical sets for computing a summary of views from a dense set of 2D views computed for a 3D object.
Year
DOI
Venue
2004
10.1109/CVPR.2004.1315212
CVPR (2)
Keywords
Field
DocType
bounded performance,canonical set,optimization framework,quadratic optimization integer programming,original set,dense set,approximation solution,semidefinite programming,view simplification,combinatorial formulation,canonical set problem,polynomial time,quadratic optimization,integer programming,set theory,quadratic programming
Set theory,Discrete mathematics,Quadratically constrained quadratic program,Active set method,Computer science,Randomized rounding,Quadratic programming,Semidefinite programming,Bounded function,Special ordered set
Conference
ISSN
Citations 
PageRank 
1063-6919
12
1.38
References 
Authors
12
3
Name
Order
Citations
PageRank
Trip Denton11078.47
Jeff Abrahamson2486.07
A. Shokoufandeh3135688.63