Title
Multiscale AM-FM Demodulation and Image Reconstruction Methods With Improved Accuracy
Abstract
We develop new multiscale amplitude-modulation frequency-modulation (AM-FM) demodulation methods for image processing. The approach is based on three basic ideas: (i) AM-FM demodulation using a new multiscale filterbank, (ii) new, accurate methods for instantaneous frequency (IF) estimation, and (iii) multiscale least squares AM-FM reconstructions. In particular, we introduce a variable-spacing local linear phase (VS-LLP) method for improved instantaneous frequency (IF) estimation and compare it to an extended quasilocal method and the quasi-eigen function approximation (QEA). It turns out that the new VS-LLP method is a generalization of the QEA method where we choose the best integer spacing between the samples to adapt as a function of frequency. We also introduce a new quasi-local method (QLM) for IF and IA estimation and discuss some of its advantages and limitations. The new IF estimation methods lead to significantly improved estimates. We present different multiscale decompositions to show that the proposed methods can be used to reconstruct and analyze general images.
Year
DOI
Venue
2010
10.1109/TIP.2010.2040446
IEEE Transactions on Image Processing
Keywords
Field
DocType
amplitude modulation,eigenvalues and eigenfunctions,frequency modulation,function approximation,image reconstruction,least squares approximations,extended quasilocal method,image reconstruction methods,instantaneous frequency estimation,multiscale AM-FM demodulation,multiscale amplitude-modulation frequency-modulation,multiscale filterbank,multiscale least squares AM-FM reconstructions,quasi-eigenfunction approximation,quasilocal method,variable-spacing local linear phase method,Amplitude-modulation frequency-modulation (AM-FM),image demodulation,multiscale image analysis
Least squares,Linear phase,Iterative reconstruction,Demodulation,Function approximation,Pattern recognition,Image processing,Artificial intelligence,Estimation theory,Instantaneous phase,Mathematics
Journal
Volume
Issue
ISSN
19
5
1057-7149
Citations 
PageRank 
References 
38
2.44
33
Authors
3
Name
Order
Citations
PageRank
V. Murray119716.47
Paul Rodríguez215014.60
Marios S. Pattichis334149.71