Title
Non-linear dimensionality reduction using fuzzy lattices
Abstract
The proposed method is based on extraction of non-linearity from the nearest neighbourhood elements of image. To detect non-linearity, relation between the nearest neighbourhood elements of the image, have been expressed in terms of Gaussian membership functions. All the elements of the image are connected with the nearest neighbourhood elements with some membership degree of the Gaussian functions. It results in the formation of number of fuzzy lattices. The lattices have been expressed in the form of Schrödinger equation, to find the kinetic energy (KE) used, corresponding to change occurring in the facial activity of a person. Finally, the KE embedded in three dimension space is used to distinguish non-linear changes during occurrence of various facial activities. Experimental results show that proposed method is effective in recognition of facial expression as it focuses on extracting the non-linear features corresponding to contours of maximum energy which are appearing because of different expressions.
Year
DOI
Venue
2013
10.1049/iet-cvi.2012.0097
IET Computer Vision
Keywords
Field
DocType
gaussian processes,schrodinger equation,face recognition,feature extraction,fuzzy set theory,gaussian membership functions,ke,facial activities,facial expression recognition,fuzzy lattices,kinetic energy,nearest neighbourhood elements,nonlinear dimensionality reduction,nonlinear feature extraction,three dimension space
Dimensionality reduction,Nonlinear system,Pattern recognition,Lattice (order),Expression (mathematics),Fuzzy logic,Schrödinger equation,Gaussian,Artificial intelligence,Nonlinear dimensionality reduction,Mathematics
Journal
Volume
Issue
ISSN
7
3
1751-9632
Citations 
PageRank 
References 
2
0.37
10
Authors
2
Name
Order
Citations
PageRank
Kapoor, R.120.37
Gupta, R.220.37