AM-FM Signal Processing

Welcome to the AM-FM signal processing page at the University of Oklahoma. This page contains information about AM-FM signal processing, prominent results of ongoing research, an AM-FM MATLAB® toolbox, and AM-FM C Utilities.

Multicomponent AM-FM signal models provide a perceptually motivated image representation from which nonstationary amplitude and frequency information can be readily interpreted.

These models have been used to great effect in a variety of computer vision and analysis applications, including texture segmentation and classification, 3-D shape from texture, edge detection and image enhancement, texture-based stereopsis, fingerprint classification, content-based retrieval, and regeneration of occluded and damaged textures [], as well as for human speech analysis [,], infrared [] and visible [] target tracking, and modulation domain image processing [].



Modulation Domain Filtering Examples


Image Processing Goal: Remove the lines from lena's hat.





Image Processing Goal: Rotate the lines in barbara's pants.










AM-FM MATLAB Toolbox

A MATLAB® toolbox has been developed that can be used to obtain image decompositions and demodulations as well as perform modulation domain image processing.

The toolbox may be downloaded from the following link: amfm.zip

Test images which may be used with the toolbox may be downloaded from : Images.zip
These images are all of size 256x256

To install the toolbox please follow these instructions.



AM-FM C Utilities (Unix/Linux Only)

The C source code for several AM-FM utility programs is available here for download. These programs can be used to perform Dominant Component AM-FM Analysis (DCA) and Channelized Component AM-FM Analysis (CCA) as well as other useful operations. These utilities were used to obtain the results in [].

The C Utilities may be downloaded from the following link: AM-FM.tgz

To use the C Utilities please follow these instructions.



Related Publications

A. Archival Journal Papers

  1. Multidimensional quasi-eigenfunction
approximations and multicomponent AM-FM models.
PDF file. 794 KB J.P. Havlicek, D.S. Harding, and A.C. Bovik, ``Multidimensional quasi-eigenfunction approximations and multicomponent AM-FM models,'' IEEE Trans. Image Proc., vol. 9, no. 2, pp. 227-242, February 2000.

  2. Multicomponent multidimensional signals. PDF file. 450 KB J.P. Havlicek, D.S. Harding, and A.C. Bovik, ``Multicomponent multidimensional signals,'' Multidimensional Syst. and Signal Proc., vol. 9, no. 4, pp. 391-398, Oct. 1998.

  3. The evolution of modern texture processing. PDF file. 797 KB J.P. Havlicek, ``The evolution of modern texture processing,'' Elektrik, Turkish Journal of Electrical Engineering and Computer Sciences, vol. 5, no. 1, special issue on image processing, pp. 1-28, 1997.

  4. The mutli-component AM-FM image representation. PDF file. 2002 KB J.P. Havlicek, D.S. Harding, and A.C. Bovik, ``The mutli-component AM-FM image representation," IEEE Trans. Image Proc., special issue on nonlinear image processing, vol. 5, no. 6, pp. 1094-1100, June 1996.

  5. P. Maragos and J. F. Kaiser and T. F. Quatieri, ``Energy Separation in Signal Modulations with Applications to Speech Analysis," IEEE Trans. Signal Proc., vol. 41, no. 10, pp. 3024-3051, Oct. 1993

B. Book Chapters

  1. J.P. Havlicek, P.C. Tay, and A.C. Bovik, ``AM-FM Image Models: Fundamental Techniques and Emerging Trends," in Handbook of Image and Video Processing, 2 ed., A.C. Bovik, ed., Elsevier Academic Press, Burlington, MA, 2005, pp. 377-395.

  2. M.S. Pattichis, J.P. Havlicek, S.T. Acton, and A.C. Bovik, ``Multidimensional AM-FM Models with Image Processing Applications," in Advances in Image Processing and Understanding: A Festschrift for Thomas S. Huang, A.C. Bovik, C.W. Chen, and D. Goldgof, ed., Series in Machine Perception and Artificial Intelligence, vol. 52, World Scientific Publishing, Singapore, 2002, pp. 277-305.

  3. J.P. Havlicek and A.C. Bovik, ``Image Modulation Models," in Handbook of Image and Video Processing, A.C. Bovik, ed., Communications, Networking, and Multimedia Series by Academic Press, San Diego, 2000, pp. 305-316.

  4. J.P. Havlicek, A.C. Bovik, and D. Chen, ``AM-FM Image Modeling and Gabor Analysis,'' in Visual Information Representation, Communication, and Image Processing, C.W. Chen and Y. Zhang, ed., Optical Engineering Series by Marcel Dekker, Inc., New York, 1999, pp. 343-385.

C. Refereed and Invited Conference Papers

  1. Online consistency checking for AM-FM target tracks.
PDF file. 357 KB N.A. Mould, C.T. Nguyen, C.M. Johnston, and J.P. Havlicek, ``Online consistency checking for AM-FM target tracks," in Proc. SPIE/IS&T Conf. Computational Imaging VI, C.A. Bouman, E.L. Miller, and I. Pollack, ed., SPIE v. 6814, Jan. 26-31, 2008, pp. 681413-1 -- 681413-12.

  2. R. S. Prakash and R. Aravind, ``Modulation-domain particle filter for template tracking,'' in Proc. Int'l. Conf. Pattern Recog., Tampa, FL, Dec. 8-11, 2008, pp. 1-4.

  3. First results in perceptually-based AM-FM image filtering.
PDF file. 221 KB C.T. Nguyen, R.A. Sivley, and J.P. Havlicek, ``First results in perceptually-based AM-FM image filtering," in Proc. IEEE Southwest Symp. Image Anal., Interp., Santa Fe, NM, Mar. 24-26, 2008, pp. 77-80.

  4. Infrared target tracking with AM-FM consistency checks.
PDF file. 189 KB N.A. Mould, C.T. Nguyen, and J.P. Havlicek, ``Infrared target tracking with AM-FM consistency checks," in Proc. IEEE Southwest Symp. Image Anal., Interp., Santa Fe, NM, Mar. 24-26, 2008, 5-8.

  5. Modulation domain template tracking.  PDF file. 875 KB C.T. Nguyen, J. Havlicek, and M. Yeary, ``Modulation domain template tracking," in Proc. 4th Joint IEEE Int'l. Workshop Object Tracking, Class., in and Beyond the visible Spectrum, in conjunction with the 2007 IEEE Computer Soc. conf. Comput. Vision, Patern Recog., Minneapolis, MN, Jun. 17-22, 2007 (8 pages).

  6. R. S. Prakash and R. Aravind, T. Ezzat and J. Bouvrie and T. Poggio, ``AM-FM demodulation of spectrograms using localized 2D Max-Gabor analysis,'' in Proc. IEEE Int'l. Conf. Acoust., Speech, Signal Process., Honolulu, HI, Apr. 15-20, 2007, pp. 1061-1064.

  7. Perfect reconstruction AM-FM image models.  PDF file. 4.2 MB R.A. Sivley and J.P. Havlicek, ``Perfect reconstruction AM-FM image models," in Proc. IEEE Int'l. Conf. Image Proc., Atlanta, GA, Oct. 8-11, 2006, pp. 2125-2128.

  8. Modulation domain features for discriminating infrared targets and
backgrounds.  PDF file. 4.3 MB C.T. Nguyen and J.P. Havlicek, ``Modulation domain features for discriminating infrared targets and backgrounds," in Proc. IEEE Int'l. Conf. Image Proc., Atlanta, GA, Oct. 8-11, 2006, pp. 3245-3248.

  9. Modulation domain infrared target models.  PDF file. 1011 KB J.P. Havlicek, C.T. Nguyen, and M. Yeary, ``Modulation domain infrared target models," in Targets and Backgrounds XII: Characterization and Representation, W.R. Watkins and D. Clement, ed., SPIE v. 6239, May 4, 2006, pp. 62390D-1 -- 62390D-11.

  10. Phase algorithm for blocking artifact reduction in reconstructions from
  analysis-only AM-FM models.
PDF file. 388 KB K. Suri and J.P. Havlicek, ``Phase algorithm for blocking artifact reduction in reconstructions from analysis-only AM-FM models," in Proc. IEEE Southwest Symp. Image Anal. & Interp., Denver, CO, Mar. 26-28, 2006, pp. 6-10.

  11. A spline-based framework for perfect reconstruction AM-FM models.
PDF file. 390 KB R.A. Sivley and J.P. Havlicek, ``A spline-based framework for perfect reconstruction AM-FM models," in Proc. IEEE Southwest Symp. Image Anal. & Interp., Denver, CO, Mar. 26-28, 2006, pp. 198-202.

  12. Multidimensional phase unwrapping for consistent APF estimation.
PDF file. 363 KB R.A. Sivley and J.P. Havlicek, ``Multidimensional phase unwrapping for consistent APF estimation," in Proc. IEEE Int'l. Conf. Image Proc., Genoa, Italy, Sept. 11-14, 2005, vol. II, pp. 458-461.

  13. Modulation domain reference point detection for fingerprint recognition.
PDF file. 594 KB N. Kitiyanan and J.P. Havlicek, ``Modulation domain reference point detection for fingerprint recognition," in Proc. IEEE Southwest Symp. Image Anal. & Interp., Lake Tahoe, NV, Mar. 28-30, 2004, pp. 147-151.

  14. Modulation domain texture retrieval for CBIR in digital libraries.
PDF file. 588 KB J.P. Havlicek, J. Tang, S.T. Acton, R. Antonucci, and F.N. Ouandji, ``Modulation domain texture retrieval for CBIR in digital libraries," in Proc. 37th IEEE Asilomar Conf. Signals, Syst., Comput., Pacific Grove, CA, Nov. 9-12, 2003.

  15. Bayesian segmentation of AM-FM texture images.
PDF file. 498 KB T.B. Yap, J.P. Havlicek, and V. DeBrunner, ``Bayesian segmentation of AM-FM texture images" in Proc. 35th IEEE Asilomar Conf. Signals, Syst., Comput., Pacific Grove, CA, Nov. 4-7, 2001, vol. 2, pp. 1156-1160, (invited paper).

  16. Active contour segmentation guided by AM-FM dominant component analysis.
PDF file. 412 KB N. Zray, J. Havlicek, S. Acton, and M. Pattichis, ``Active contour segmentation guided by AM-FM dominant component analysis," in Proc. IEEE Int'l Conf. Image Proc., Thessaloniki, Greece, Oct. 7-10, 2001, vol. 1, pp. 78-81.

  17. Unsupervised texture segmentation using
dominant image modulations.
PDF file. 473 KB T.B. Yap, T. Tangsukson, P.C. Tay, N.D. Mamuya, and J.P. Havlicek, ``Unsupervised texture segmentation using dominant image modulations," in Proc. 34th IEEE Asilomar Conf. Signals, Syst., Comput., Pacific Grove, CA, Oct. 29-31, 2000, pp. 911-915.

  18. AM-FM image segmentation.
PDF file. 480 KB T. Tangsukson and J.P. Havlicek, ``AM-FM image segmentation,'' Proc. IEEE Int'l Conf. Image Proc., Vancouver, Canada, Sep. 10-13, 2000, pp. 104-107.

  19. Modulation domain image segmentation.
PDF file. 143 KB T. Tangsukson and J.P. Havlicek, ``Modulation domain image segmentation,'' in Proc. IEEE Southwest Symp. Image Anal. & Interp., Austin, TX, Apr. 2-4, 2000, pp. 46-50.

  20. Skewed 2D Hilbert transforms
and computed AM-FM models.
PDF file. 856 KB J.P. Havlicek, J.W. Havlicek, N.D. Mamuya, and A.C. Bovik, ``Skewed 2D Hilbert transforms and computed AM-FM models,'' Proc. IEEE Int'l Conf. Image Proc., Chicago, IL, Oct. 4-7, 1998, pp. 602-606.

  21. Wideband Frequency Excursions
in Computed AM-FM Image Models.
PDF file. 775 KB J.P. Havlicek, D.S. Harding, N.D. Mamuya, and A.C. Bovik, ``Wideband Frequency Excursions in Computed AM-FM Image Models,'' in Proc. IEEE Southwest Symp. Image Anal. & Interp., Tucson, AZ, Apr. 6-7, 1998, pp. 211-216.

  22. The analytic image.
PDF file. 691 KB J.P. Havlicek, J.W. Havlicek, and A.C. Bovik, ``The analytic image,'' Proc. IEEE Int'l Conf. Image Proc., Santa Barbara, CA, Oct. 26-29, 1997, pp. 446-449.

  23. Extracting Essential
Modulated Image Structure.
PDF file. 748 KB J.P. Havlicek, D.S. Harding, and A.C. Bovik, ``Extracting Essential Modulated Image Structure,'' in Proc. 30th IEEE Asilomar Conf. Signals, Syst., Comput., Pacific Grove, CA, Nov. 3-6, 1996, pp. 1014-1018, invited paper.

  24. Discrete quasi-eigenfunction
approximation for AM-FM image analysis.
PDF file. 810 KB J.P. Havlicek, D.S. Harding, and A.C. Bovik, ``Discrete quasi-eigenfunction approximation for AM-FM image analysis,'' Proc. IEEE Int'l Conf. Image Proc., Lausanne, Switzerland, Sep. 16-19, 1996, pp. 633-636.

  25. AM-FM Image Analysis Techniques.
PDF file. 631 KB J.P. Havlicek, M.S. Pattichis, D.S. Harding, A.C. Christofides, and A.C. Bovik ``AM-FM Image Analysis Techniques,'' in Proc. IEEE Southwest Symp. Image Anal. & Interp., San Antonio, TX, Apr. 8-9, 1996, pp. 195-199.

  26. D.S. Harding, J.P. Havlicek, and A.C. Bovik, ``Recent advances in multi-component AM-FM image modelling,'' in Proc. 9th IEEE Int'l. Workshop Image, Multidimensional Signal Proc., Belize City, Belize, March 3-6, 1996, pp. 68-69.

  27. Reconstruction from the multi-component
AM-FM image representation.
PDF file. 583 KB J.P. Havlicek, D.S. Harding, and A.C. Bovik, ``Reconstruction from the multi-component AM-FM image representation,'' Proc. IEEE Int'l Conf. Image Proc., Washington, DC, Oct. 22-25, 1995, pp. II280-II283.

  28. The discrete quasi-eigenfunction approximation.
PDF file. 291 KB J.P. Havlicek, A.C. Bovik, M.D. Desai, and D.S. Harding, ``The discrete quasi-eigenfunction approximation'', in Proc. Int'l. Conf. on Digital Signal Proc., Limassol, Cyprus, June 26-28, 1995, pp. 747-752.

  29. Multi-component signal demodulation and reconstruction
using AM-FM modulation models.
PDF file. 310 KB J.P. Havlicek, D.S. Harding, and A.C. Bovik, ``Multi-component signal demodulation and reconstruction using AM-FM modulation models'', in Proc. 1995 IEEE Workshop Nonlin. Signal and Image Proc., Neos Marmaras, Halkidiki, Greece, June 20-22, 1995, pp. 41-45.

  30. Multi-component AM-FM image models
and wavelet-based demodulation
with component tracking.
PDF file. 402 KB J.P. Havlicek and A. C. Bovik, ``Multi-component AM-FM image models and wavelet-based demodulation with component tracking'', in Proc. IEEE Int'l. Conf. Image Proc., Austin, TX, Nov. 13-16, 1994, pp. I41-I45.

  31. Modulation models for image processing
and wavelet-based image demodulation.
PDF file. 473 KB J.P. Havlicek, A.C. Bovik, and P. Maragos, ``Modulation models for image processing and wavelet-based image demodulation,'' in Proc. 26th IEEE Asilomar Conf. Signals, Syst., Comput., Pacific Grove, CA, Oct. 26-28, 1992, pp. 805-810.

D. Technical Reports

  1. Computation of the multi-component AM-FM image representation.
PDF file. 10 MB J.P. Havlicek, D.S. Harding, and A.C. Bovik, ``Computation of the multi-component AM-FM image representation,'' Tech. Rept. TR-96-001, Center for Vision and Image Sciences, The University of Texas at Austin, May, 1996.

  2. `AM-FM models, the analytic image, and nonlinear
demodulation techniques.  PDF file. 1.2 MB J.P. Havlicek and A. C. Bovik, ``AM-FM models, the analytic image, and nonlinear demodulation techniques'', Tech. Rept. TR-95-001, Center for Vision and Image Sciences, The University of Texas at Austin, March, 1995.

E. Theses

  1. AM-FM image models.
PDF file. 14 MB J.P. Havlicek, ``AM-FM image models'', Ph.D. Dissertation, The University of Texas at Austin, 1996.


Disclaimer