Title
Unsupervised texture segmentation using monogenic curvelets and the Potts model
Abstract
We present a method for the unsupervised segmentation of textured images using Potts functionals, which are a piecewise-constant variant of the Mumford and Shah functionals. We propose a minimization strategy based on the alternating direction method of multipliers and dynamic programming. The strategy allows us to process large feature spaces because the computational cost grows only linearly in the feature dimension. In particular, our algorithm has more favorable computational costs for high-dimensional data than graph cuts. Our feature vectors are based on monogenic curvelets. They incorporate multiple resolutions and directional information. The advantage over classical curvelets is that they yield smoother amplitudes due to the envelope effect of the monogenic signal.
Year
DOI
Venue
2014
10.1109/ICIP.2014.7025883
Image Processing
Keywords
Field
DocType
Potts model,dynamic programming,image resolution,image segmentation,image texture,minimisation,piecewise constant techniques,Mumford functionals,Potts functionals,Potts model,Shah functionals,directional information,dynamic programming,feature spaces,feature vectors,high-dimensional data,minimization strategy,monogenic curvelets,monogenic signal,multipliers,piecewise-constant variant,textured images,unsupervised texture segmentation,Potts functional,Texture segmentation,monogenic curvelets,piecewise constant Mumford and Shah functional
Cut,Dynamic programming,Computer vision,Feature vector,Pattern recognition,Segmentation,Computer science,Minification,Artificial intelligence,Potts model,Curvelet,Feature Dimension
Conference
ISSN
Citations 
PageRank 
1522-4880
2
0.37
References 
Authors
20
3
Name
Order
Citations
PageRank
Martin Storath113812.69
andreas weinmann213812.81
M Unser34335499.89