Computation of component image velocity from local phase information
International Journal of Computer Vision
Numerical analysis: mathematics of scientific computing
Numerical analysis: mathematics of scientific computing
Time-frequency analysis: theory and applications
Time-frequency analysis: theory and applications
Shape from Texture Using Local Spectral Moments
IEEE Transactions on Pattern Analysis and Machine Intelligence
Applied numerical linear algebra
Applied numerical linear algebra
Elementary Numerical Analysis: An Algorithmic Approach
Elementary Numerical Analysis: An Algorithmic Approach
Reconstruction from the multi-component AM-FM image representation
ICIP '95 Proceedings of the 1995 International Conference on Image Processing (Vol.2)-Volume 2 - Volume 2
Am-fm image models
Am-fm transforms with applications
Am-fm transforms with applications
Handbook of Image and Video Processing (Communications, Networking and Multimedia)
Handbook of Image and Video Processing (Communications, Networking and Multimedia)
Analyzing Image Structure by Multidimensional Frequency Modulation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Phase algorithm for blocking artifact reduction in reconstructions from analysis-only AM-FM models
SSIAI '06 Proceedings of the 2006 IEEE Southwest Symposium on Image Analysis and Interpretation
A Spline-Based Framework for Perfect Reconstruction AM-FM Models
SSIAI '06 Proceedings of the 2006 IEEE Southwest Symposium on Image Analysis and Interpretation
IEEE Transactions on Pattern Analysis and Machine Intelligence
AM-FM Demodulation Methods for Reconstruction, Analysis and Motion Estimation in Video signals
SSIAI '08 Proceedings of the 2008 IEEE Southwest Symposium on Image Analysis and Interpretation
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Model selection of random amplitude polynomial phase signals
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Hypercomplex signals-a novel extension of the analytic signal tothe multidimensional case
IEEE Transactions on Signal Processing
Multicomponent AM–FM Representations: An Asymptotically Exact Approach
IEEE Transactions on Audio, Speech, and Language Processing
Adaptive maximum windowed likelihood multicomponent AM-FM signal decomposition
IEEE Transactions on Audio, Speech, and Language Processing
Multiband Modulation Energy Tracking for Noisy Speech Detection
IEEE Transactions on Audio, Speech, and Language Processing
The multicomponent AM-FM image representation
IEEE Transactions on Image Processing
Multidimensional quasi-eigenfunction approximations and multicomponent AM-FM models
IEEE Transactions on Image Processing
Multidimensional orthogonal FM transforms
IEEE Transactions on Image Processing
Oriented texture completion by AM-FM reaction-diffusion
IEEE Transactions on Image Processing
Fingerprint classification using an AM-FM model
IEEE Transactions on Image Processing
Asilomar'09 Proceedings of the 43rd Asilomar conference on Signals, systems and computers
ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro
Tree image growth analysis using instantaneous phase modulation
EURASIP Journal on Advances in Signal Processing - Special issue on recent advances in theory and methods for nonstationary signal analysis
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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.