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Volumn 49, Issue 6 PART 2, 2011, Pages 2281-2295

Application of the Matrix-variate mellin transform to analysis of polarimetric radar images

Author keywords

Doubly stochastic product model; matrix variate statistics; Mellin transform (MT); method of log cumulants; parameter estimation; radar polarimetry; synthetic aperture radar (SAR)

Indexed keywords

MATRIX-VARIATE STATISTICS; MELLIN TRANSFORM (MT); METHOD OF LOG-CUMULANTS; PRODUCT MODELS; RADAR POLARIMETRY;

EID: 79957654930     PISSN: 01962892     EISSN: None     Source Type: Journal    
DOI: 10.1109/TGRS.2010.2103945     Document Type: Article
Times cited : (135)

References (49)
  • 1
    • 4944239533 scopus 로고    scopus 로고
    • A review of polarimetry in the context of synthetic aperture radar: Concepts and information extraction
    • R. Touzi, W. M. Boerner, J.-S. Lee, and E. Lüneburg, "A review of polarimetry in the context of synthetic aperture radar: Concepts and information extraction," Can. J. Remote Sens., vol. 30, no. 3, pp. 380-407, 2004.
    • (2004) Can. J. Remote Sens. , vol.30 , Issue.3 , pp. 380-407
    • Touzi, R.1    Boerner, W.M.2    Lee, J.-S.3    Lüneburg, E.4
  • 2
    • 12444252163 scopus 로고    scopus 로고
    • The polarimetric G distribution for SAR data analysis
    • DOI 10.1002/env.658
    • C. C. Freitas, A. C. Frery, and A. H. Correia, "The polarimetric G distribution for SAR data analysis," Environmetrics, vol. 16, no. 1, pp. 13-31, Feb. 2005. (Pubitemid 40141388)
    • (2005) Environmetrics , vol.16 , Issue.1 , pp. 13-31
    • Freitas, C.C.1    Frery, A.C.2    Correia, A.H.3
  • 3
    • 0004773986 scopus 로고
    • Some applications of the Mellin transform in statistics
    • Sep.
    • B. Epstein, "Some applications of the Mellin transform in statistics," Ann. Math. Stat., vol. 19, no. 3, pp. 370-379, Sep. 1948.
    • (1948) Ann. Math. Stat. , vol.19 , Issue.3 , pp. 370-379
    • Epstein, B.1
  • 4
    • 0242462643 scopus 로고    scopus 로고
    • Introduction aux statistique de deuxième espèce: Application des logs-moments et des logs-cumulants à l'analyse des lois d'images radar
    • English translation in [40]
    • J.-M. Nicolas, "Introduction aux statistique de deuxième espèce: Application des logs-moments et des logs-cumulants à l'analyse des lois d'images radar," Traitement du Signal, vol. 19, no. 3, pp. 139-167, 2002, English translation in [40].
    • (2002) Traitement du Signal , vol.19 , Issue.3 , pp. 139-167
    • Nicolas, J.-M.1
  • 5
    • 47849110751 scopus 로고    scopus 로고
    • Application de la transformèe de Mellin: Étude des lois statistiques de l'imagerie cohèrente
    • Paris, France, Tech. Rep. 2006D010
    • J.-M. Nicolas, "Application de la transformèe de Mellin: Étude des lois statistiques de l'imagerie cohèrente," Ecole Nationale Supèrieure des Tèlècommunications, Paris, France, Tech. Rep. 2006D010, 2006.
    • (2006) Ecole Nationale Supèrieure des Tèlècommunications
    • Nicolas, J.-M.1
  • 6
    • 0030652178 scopus 로고    scopus 로고
    • Application of the positive alpha-stable distribution
    • Banff, Canada, Jul.
    • R. D. Pierce, "Application of the positive alpha-stable distribution," in Proc. IEEE SPW-HOS, Banff, Canada, Jul. 1997, pp. 420-424.
    • (1997) Proc. IEEE SPW-HOS , pp. 420-424
    • Pierce, R.D.1
  • 7
    • 0000695717 scopus 로고
    • A generalization of the gamma distribution
    • Sep.
    • E. W. Stacy, "A generalization of the gamma distribution," Ann. Math. Stat., vol. 33, no. 3, pp. 1187-1192, Sep. 1962.
    • (1962) Ann. Math. Stat. , vol.33 , Issue.3 , pp. 1187-1192
    • Stacy, E.W.1
  • 8
    • 0000388609 scopus 로고
    • Parameter estimation for a generalized gamma distribution
    • Aug.
    • E. W. Stacy and G. A. Mihram, "Parameter estimation for a generalized gamma distribution," Technometrics, vol. 7, no. 3, pp. 349-358, Aug. 1965.
    • (1965) Technometrics , vol.7 , Issue.3 , pp. 349-358
    • Stacy, E.W.1    Mihram, G.A.2
  • 9
    • 31344481921 scopus 로고    scopus 로고
    • Dictionary-based stochastic expectation-maximization for SAR amplitude probability density function estimation
    • DOI 10.1109/TGRS.2005.859349
    • G. Moser, J. Zerubia, and S. B. Serpico, "Dictionary-based stochastic expectation-maximization for SAR amplitude probability density function estimation," IEEE Trans. Geosci. Remote Sens., vol. 44, no. 1, pp. 188- 200, Jan. 2006. (Pubitemid 43146077)
    • (2006) IEEE Transactions on Geoscience and Remote Sensing , vol.44 , Issue.1 , pp. 188-200
    • Moser, G.1    Zerubia, J.2    Serpico, S.B.3
  • 10
    • 33646885204 scopus 로고    scopus 로고
    • SAR amplitude probability density function estimation based on a generalized Gaussian model
    • DOI 10.1109/TIP.2006.871124
    • G. Moser, J. Zerubia, and S. B. Serpico, "SAR amplitude probability density function estimation based on a generalized Gaussian model," IEEE Trans. Image Process., vol. 15, no. 6, pp. 1429-1442, Jun. 2006. (Pubitemid 43778922)
    • (2006) IEEE Transactions on Image Processing , vol.15 , Issue.6 , pp. 1429-1442
    • Moser, G.1    Zerubia, J.2    Serpico, S.B.3
  • 11
    • 47849113337 scopus 로고    scopus 로고
    • Fisher distribution for texture modeling of polarimetric SAR data
    • Jul.
    • L. Bombrun and J.-M. Beaulieu, "Fisher distribution for texture modeling of polarimetric SAR data," IEEE Geosci. Remote Sens. Lett., vol. 5, no. 3, pp. 512-516, Jul. 2008.
    • (2008) IEEE Geosci. Remote Sens. Lett. , vol.5 , Issue.3 , pp. 512-516
    • Bombrun, L.1    Beaulieu, J.-M.2
  • 12
    • 0242710825 scopus 로고    scopus 로고
    • A Fisher-MAP filter for SAR image processing
    • Toulouse, France, Jul. 21-25
    • J.-M. Nicolas, "A Fisher-MAP filter for SAR image processing," in Proc. IEEE IGARSS, Toulouse, France, Jul. 21-25, 2003, vol. 3, pp. 1996-1998.
    • (2003) Proc. IEEE IGARSS , vol.3 , pp. 1996-1998
    • Nicolas, J.-M.1
  • 13
    • 33747669425 scopus 로고    scopus 로고
    • SAR image filtering based on the heavy-tailed rayleigh model
    • DOI 10.1109/TIP.2006.877362
    • A. Achim, E. E. Kuruolu, and J. Zerubia, "SAR image filtering based on the heavy-tailed Rayleigh model," IEEE Trans. Image Process., vol. 15, no. 9, pp. 2686-2693, Sep. 2006. (Pubitemid 44270209)
    • (2006) IEEE Transactions on Image Processing , vol.15 , Issue.9 , pp. 2686-2693
    • Achim, A.1    Kuruoglu, E.E.2    Zerubia, J.3
  • 14
    • 61849179874 scopus 로고    scopus 로고
    • Wavelet-based SAR image despeckling using Cauchy pdf modeling
    • Rome, Italy, May 26-30
    • G. Chen and X. Liu, "Wavelet-based SAR image despeckling using Cauchy pdf modeling," in Proc. IEEE Radar Conf., Rome, Italy, May 26-30, 2008, pp. 1-5.
    • (2008) Proc. IEEE Radar Conf. , pp. 1-5
    • Chen, G.1    Liu, X.2
  • 15
    • 77952581054 scopus 로고    scopus 로고
    • Dual-tree complex wavelet transform based SAR despeckling using interscale dependence
    • Jun.
    • J. J. Ranjani and S. J. Thiruvengadam, "Dual-tree complex wavelet transform based SAR despeckling using interscale dependence," IEEE Trans. Geosci. Remote Sens., vol. 48, no. 6, pp. 2723-2731, Jun. 2010.
    • (2010) IEEE Trans. Geosci. Remote Sens. , vol.48 , Issue.6 , pp. 2723-2731
    • Ranjani, J.J.1    Thiruvengadam, S.J.2
  • 16
    • 7044247421 scopus 로고    scopus 로고
    • A new statistical model for Markovian classification of urban areas in high-resolution SAR images
    • Oct.
    • C. Tison, J.-M. Nicolas, F. Tupin, and H. Maître, "A new statistical model for Markovian classification of urban areas in high-resolution SAR images," IEEE Trans. Geosci. Remote Sens., vol. 42, no. 10, pp. 2046-2057, Oct. 2004.
    • (2004) IEEE Trans. Geosci. Remote Sens. , vol.42 , Issue.10 , pp. 2046-2057
    • Tison, C.1    Nicolas, J.-M.2    Tupin, F.3    Maître, H.4
  • 17
    • 79952038090 scopus 로고    scopus 로고
    • Unsupervised segmentation of SAR images using triplet Markov fields and Fisher noise distributions
    • Barcelona, Spain, Jul. 23-27
    • D. Benboudjema, F. Tupin, W. Pieczynski, M. Sigelle, and J.-M. Nicolas, "Unsupervised segmentation of SAR images using triplet Markov fields and Fisher noise distributions," in Proc. IEEE IGARSS, Barcelona, Spain, Jul. 23-27, 2007, vol. 1, pp. 3891-3894.
    • (2007) Proc. IEEE IGARSS , vol.1 , pp. 3891-3894
    • Benboudjema, D.1    Tupin, F.2    Pieczynski, W.3    Sigelle, M.4    Nicolas, J.-M.5
  • 19
    • 7044222718 scopus 로고    scopus 로고
    • Application of log-cumulants to the detection of spatiotemporal discontinuities in multitemporal SAR images
    • Oct.
    • F. Bujor, E. Trouvè, L. Valet, J.-M. Nicolas, and J.-P. Rudant, "Application of log-cumulants to the detection of spatiotemporal discontinuities in multitemporal SAR images," IEEE Trans. Geosci. Remote Sens., vol. 42, no. 10, pp. 2073-2084, Oct. 2004.
    • (2004) IEEE Trans. Geosci. Remote Sens. , vol.42 , Issue.10 , pp. 2073-2084
    • Bujor, F.1    Trouvè, E.2    Valet, L.3    Nicolas, J.-M.4    Rudant, J.-P.5
  • 20
    • 34247344495 scopus 로고    scopus 로고
    • Generalized minimum-error thresholding for unsupervised change detection from SAR amplitude imagery
    • Oct.
    • G. Moser and S. B. Serpico, "Generalized minimum-error thresholding for unsupervised change detection from SAR amplitude imagery," IEEE Trans. Geosci. Remote Sens., vol. 44, no. 10, pp. 2972-2982, Oct. 2006.
    • (2006) IEEE Trans. Geosci. Remote Sens. , vol.44 , Issue.10 , pp. 2972-2982
    • Moser, G.1    Serpico, S.B.2
  • 21
    • 84870949573 scopus 로고    scopus 로고
    • Unsupervised change detection from multichannel SAR data by Markovian data fusion
    • Jul.
    • G. Moser and S. B. Serpico, "Unsupervised change detection from multichannel SAR data by Markovian data fusion," IEEE Trans. Geosci. Remote Sens., vol. 47, no. 7, pp. 2114-2128, Jul. 2009.
    • (2009) IEEE Trans. Geosci. Remote Sens. , vol.47 , Issue.7 , pp. 2114-2128
    • Moser, G.1    Serpico, S.B.2
  • 22
    • 33746354302 scopus 로고    scopus 로고
    • Interferometric SAR coherence magnitude estimation using second kind statistics
    • DOI 10.1109/TGRS.2006.870440, 1645303
    • R. Abdelfattah and J.-M. Nicolas, "Interferometric SAR coherence magnitude estimation using second kind statistics," IEEE Trans. Geosci. Remote Sens., vol. 44, pt. 2, no. 7, pp. 1942-1953, Jul. 2006. (Pubitemid 44109517)
    • (2006) IEEE Transactions on Geoscience and Remote Sensing , vol.44 , Issue.7 , pp. 1942-1953
    • Abdelfattah, R.1    Nicolas, J.-M.2
  • 23
    • 15944400362 scopus 로고    scopus 로고
    • Homomorphic Wavelet Transform and new subband statistics models for SAR image compression
    • 2004 IEEE International Geoscience and Remote Sensing Symposium Proceedings: Science for Society: Exploring and Managing a Changing Planet. IGARSS 2004
    • C. Valade and J.-M. Nicolas, "Homomorphic wavelet transform and new subband statistics models for SAR image compression," in Proc. IEEE IGARSS, Anchorage, AK, Sep. 20-24, 2004, vol. 1, pp. 285-288. (Pubitemid 40438501)
    • (2004) International Geoscience and Remote Sensing Symposium (IGARSS) , vol.1 , pp. 285-288
    • Valade, C.1    Nicolas, J.-M.2
  • 26
    • 0001013602 scopus 로고
    • Statistical analysis based on a certain multivariate complex Gaussian distribution (an introduction)
    • Mar.
    • N. R. Goodman, "Statistical analysis based on a certain multivariate complex Gaussian distribution (an introduction)," Ann. Math. Stat., vol. 34, no. 1, pp. 152-177, Mar. 1963.
    • (1963) Ann. Math. Stat. , vol.34 , Issue.1 , pp. 152-177
    • Goodman, N.R.1
  • 27
    • 0028740898 scopus 로고
    • K-distribution for multi-look processed polarimetric SAR imagery
    • Pasadena, CA, Aug.
    • J.-S. Lee, D. L. Schuler, R. H. Lang, and K. J. Ranson, "K-distribution for multi-look processed polarimetric SAR imagery," in Proc. IEEE IGARSS, Pasadena, CA, Aug. 1994, vol. 4, pp. 2179-2181.
    • (1994) Proc. IEEE IGARSS , vol.4 , pp. 2179-2181
    • Lee, J.-S.1    Schuler, D.L.2    Lang, R.H.3    Ranson, K.J.4
  • 30
    • 0035995563 scopus 로고    scopus 로고
    • The curious history of Faà di Bruno's formula
    • Mar.
    • W. P. Johnson, "The curious history of Faà di Bruno's formula," Amer. Math. Monthly, vol. 109, no. 3, pp. 217-234, Mar. 2002.
    • (2002) Amer. Math. Monthly , vol.109 , Issue.3 , pp. 217-234
    • Johnson, W.P.1
  • 36
    • 84985401302 scopus 로고
    • Some results on functions of matrix argument
    • A. M. Mathai, "Some results on functions of matrix argument," Math. Nachr., vol. 84, no. 1, pp. 171-177, 1978.
    • (1978) Math. Nachr. , vol.84 , Issue.1 , pp. 171-177
    • Mathai, A.M.1
  • 37
    • 51649165508 scopus 로고
    • Distribution of the canonical correlation matrix
    • Dec.
    • A. M. Mathai, "Distribution of the canonical correlation matrix," Ann. Inst. Stat. Math., vol. 33, pt. A, no. 1, pp. 35-43, Dec. 1981.
    • (1981) Ann. Inst. Stat. Math. , vol.33 , Issue.1 PART. A , pp. 35-43
    • Mathai, A.M.1
  • 38
    • 70350629168 scopus 로고    scopus 로고
    • Estimation of the equivalent number of looks in polarimetric synthetic aperture radar imagery
    • Nov.
    • S. N. Anfinsen, A. P. Doulgeris, and T. Eltoft, "Estimation of the equivalent number of looks in polarimetric synthetic aperture radar imagery," IEEE Trans. Geosci. Remote Sens., vol. 47, no. 11, pp. 3795-3809, Nov. 2009.
    • (2009) IEEE Trans. Geosci. Remote Sens. , vol.47 , Issue.11 , pp. 3795-3809
    • Anfinsen, S.N.1    Doulgeris, A.P.2    Eltoft, T.3
  • 41
    • 77956958992 scopus 로고
    • Deformation invariant, space-invariant optical pattern recognition
    • E. Wolf, Ed. New York:, North-Holland, ch. V
    • D. Casasent and D. Psaltis, "Deformation invariant, space-invariant optical pattern recognition," in Progress in Optics, E. Wolf, Ed. New York: North-Holland, 1978, ch. V.
    • (1978) Progress in Optics
    • Casasent, D.1    Psaltis, D.2
  • 43
    • 79957636618 scopus 로고    scopus 로고
    • Goodness-of-fit tests for multilook polarimetric radar data based on the Mellin transform
    • Aug., to be published
    • S. N. Anfinsen and T. Eltoft, "Goodness-of-fit tests for multilook polarimetric radar data based on the Mellin transform," IEEE Geosci. Remote Sens. Lett., vol. 49, no. 8, Aug. 2011, 18 pp., to be published.
    • (2011) IEEE Geosci. Remote Sens. Lett. , vol.49 , Issue.8 , pp. 18
    • Anfinsen, S.N.1    Eltoft, T.2
  • 44
    • 67649797427 scopus 로고    scopus 로고
    • Estimation of the equivalent number of looks in polarimetric SAR imagery
    • Boston, MA, Jul.
    • S. N. Anfinsen, A. P. Doulgeris, and T. Eltoft, "Estimation of the equivalent number of looks in polarimetric SAR imagery," in Proc. IEEE IGARSS, Boston, MA, Jul. 2008, vol. 4, pp. 487-490.
    • (2008) Proc. IEEE IGARSS , vol.4 , pp. 487-490
    • Anfinsen, S.N.1    Doulgeris, A.P.2    Eltoft, T.3
  • 45
    • 47849090097 scopus 로고    scopus 로고
    • Classifying multifrequency fully polarimetric imagery with multiple sources of statistical evidence and contextual information
    • Oct.
    • A. C. Frery, A. H. Correia, and C. C. Freitas, "Classifying multifrequency fully polarimetric imagery with multiple sources of statistical evidence and contextual information," IEEE Trans. Geosci. Remote Sens., vol. 45, no. 10, pp. 3098-3109, Oct. 2007.
    • (2007) IEEE Trans. Geosci. Remote Sens. , vol.45 , Issue.10 , pp. 3098-3109
    • Frery, A.C.1    Correia, A.H.2    Freitas, C.C.3
  • 46
    • 53849139159 scopus 로고    scopus 로고
    • Classification with a non- Gaussian model for PolSAR data
    • Oct.
    • A. P. Doulgeris, S. N. Anfinsen, and T. Eltoft, "Classification with a non- Gaussian model for PolSAR data," IEEE Trans. Geosci. Remote Sens., vol. 46, no. 10, pp. 2999-3009, Oct. 2008.
    • (2008) IEEE Trans. Geosci. Remote Sens. , vol.46 , Issue.10 , pp. 2999-3009
    • Doulgeris, A.P.1    Anfinsen, S.N.2    Eltoft, T.3
  • 47
    • 0026389219 scopus 로고
    • Statistical analysis of Ka-band sea clutter
    • Honolulu, HI, Oct.
    • D. E. Kreithen and G. G. Hogan, "Statistical analysis of Ka-band sea clutter," in Proc. IEEE OCEANS, Honolulu, HI, Oct. 1991, vol. 2, pp. 1217-122.
    • (1991) Proc. IEEE OCEANS , vol.2 , pp. 1217-122
    • Kreithen, D.E.1    Hogan, G.G.2
  • 48
    • 0028378878 scopus 로고
    • Comparison of parameter estimators for K-distribution
    • Feb.
    • D. Blacknell, "Comparison of parameter estimators for K-distribution," Proc. Inst. Elect. Eng.-Radar, Sonar, Navig., vol. 141, no. 1, pp. 45-52, Feb. 1994.
    • (1994) Proc. Inst. Elect. Eng.-Radar, Sonar, Navig. , vol.141 , Issue.1 , pp. 45-52
    • Blacknell, D.1
  • 49
    • 76449083908 scopus 로고    scopus 로고
    • Segmentation and classification of polarimetric SAR data based on the KummerU distribution
    • Frascati, Italy, Apr.
    • O. Harant, L. Bombrun, M. Gay, R. Fallourd, E. Trouvè, and F. Tupin, "Segmentation and classification of polarimetric SAR data based on the KummerU distribution," in Proc. 4th Int. Workshop Sci. Appl. POLinSAR, Frascati, Italy, Apr. 2009, vol. ESA SP-668, 6 pp.
    • (2009) Proc. 4th Int. Workshop Sci. Appl. POLinSAR , vol.ESA SP-668 , pp. 6
    • Harant, O.1    Bombrun, L.2    Gay, M.3    Fallourd, R.4    Trouvè, E.5    Tupin, F.6


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