Title
Line Clustering with Vanishing Point and Vanishing Line
Abstract
In conventional methods for detecting vanishing points and vanishing lines, the observed feature points are clustered into collections which represent different lines. The multiple lines are then detected and the vanishing points are detected as cross points of those lines. The vanishing line is then detected based on the cross points. However, for the purpose of optimization, these processes should be integrated and achieved simultaneously.In the present paper, we assume that the observed noise for the feature points have a two-dimensional Gaussian noise. And we define the likelihood function including obviously vanishing point and vanishing line parameters based on a Gaussian mixture density model. As a result, the above described simultaneous detection can be formulated as a maximum likelihood estimation problem.In addition, an iterative computation method for achieving this estimation is proposed based on the EM algorithm. The proposed method involves new techniques by which the stable convergence is achieved and the computational cost is reduced. The effectiveness of the proposed method including these techniques can be confirmed by some experiments
Year
DOI
Venue
1999
10.1109/ICIAP.1999.797626
ICIAP
Keywords
Field
DocType
Gaussian noise,edge detection,feature extraction,image representation,iterative methods,maximum likelihood estimation,numerical stability,optimisation,pattern clustering,EM algorithm,Gaussian mixture density model,computational cost,cross points,feature points,iterative computation,line clustering,line detection,line representation,maximum likelihood estimation,multiple lines,optimization,simultaneous detection,stable convergence,two-dimensional Gaussian noise,vanishing line,vanishing point
Likelihood function,Pattern recognition,Expectation–maximization algorithm,Iterative method,Edge detection,Gaussian,Artificial intelligence,Quantization (signal processing),Gaussian noise,Mathematics,Vanishing point
Conference
ISBN
Citations 
PageRank 
0-7695-0040-4
3
0.51
References 
Authors
1
4
Name
Order
Citations
PageRank
Akihiro Minagawa1268.43
Norio Tagawa24116.60
Tadashi Moriya331.86
Toshiyuki Gotoh44613.64