Title
Rectangle fitting via quadratic programming
Abstract
This paper investigates rectangle fitting via optimization approaches. We summarize two basic requirements for rectangular fitting, leading to a basic model that are non-convex and difficult to attack. To avoid potential trapping of local minima, we extend the basic model with centroid and orientation constraints into a quadratic programming. To achieve reliable fitting from noisy points, slack variables are introduced to soften hard constraints. The scalability to problem size are further addressed by careful selecting only a small fraction of slack variables. Results on clean dataset, noisy dataset, and practical data show that our method is able to reliably fit rectangles for various kinds of data.
Year
DOI
Venue
2015
10.1109/MMSP.2015.7340875
2015 IEEE 17th International Workshop on Multimedia Signal Processing (MMSP)
Keywords
Field
DocType
quadratic programming,rectangle fitting,centroid constraints,orientation constraints
Slack variable,Mathematical optimization,Computer science,Rectangle,Maxima and minima,Quadratic programming,Centroid,Scalability
Conference
ISSN
Citations 
PageRank 
2163-3517
1
0.36
References 
Authors
9
2
Name
Order
Citations
PageRank
Jingyu Yang127431.04
Zhongyu Jiang262.12