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LE DEBRUITAGE DES IMAGES SONAR EN UTILISANT LA THEORIE DES ONDELETTES SORIN MOGA ET ALEXANDRU ISAR

ISETc 2010, Timisoara, November 11, 2010. A Second Order Statistical Analysis of the Hyperanalytic Wavelet Transform. LE DEBRUITAGE DES IMAGES SONAR EN UTILISANT LA THEORIE DES ONDELETTES SORIN MOGA ET ALEXANDRU ISAR.

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LE DEBRUITAGE DES IMAGES SONAR EN UTILISANT LA THEORIE DES ONDELETTES SORIN MOGA ET ALEXANDRU ISAR

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  1. ISETc 2010, Timisoara, November 11, 2010 A Second Order Statistical Analysis of the Hyperanalytic Wavelet Transform LE DEBRUITAGE DES IMAGES SONAR EN UTILISANT LA THEORIE DES ONDELETTES SORIN MOGA ET ALEXANDRU ISAR 1Corina Nafornita, 1,2Ioana Firoiu,1Dorina Isar, 2Jean-Marc Boucher and 1Alexandru Isar 1 Politehnica University of Timisoara, Romania 2Telecom Bretagne, France

  2. Hyperanalytic Mother Wavelet Ioana Adam, Corina Nafornita, Jean-Marc Boucher, Alexandru Isar, A New Implementation of the Hyperanalytic Wavelet Transform, ISSCS 2007 1/14

  3. Hyperanalytic Wavelet Transform LE DEBRUITAGE DES IMAGES SONAR EN UTILISANT LA THEORIE DES ONDELETTES SORIN MOGA ET ALEXANDRU ISAR Ioana Adam, Corina Nafornita, Jean-Marc Boucher, Alexandru Isar, A New Implementation of the Hyperanalytic Wavelet Transform, ISSCS 2007 2/14

  4. Enhancement of directional selectivity LE DEBRUITAGE DES IMAGES SONAR EN UTILISANT LA THEORIE DES ONDELETTES SORIN MOGA ET ALEXANDRU ISAR Ioana Adam, Corina Nafornita, Jean-Marc Boucher, Alexandru Isar, A New Implementation of the Hyperanalytic Wavelet Transform, ISSCS 2007 3/14

  5. D04 2D-DWT C. Nafornita, I. Firoiu, D. Isar, J. M. Boucher, A. Isar, “A Second Order Statistical Analysis of the 2D DWT”-Communications 2010, Bucharest, June 11 4/14

  6. inter-scale and inter-band intra-scale and intra-band inter-scale and intra-band intra-scale and inter-band Second Order Statistical Analysis m-scale,k-subband C. Nafornita, I. Firoiu, D. Isar, J. M. Boucher, A. Isar, “A Second Order Statistical Analysis of the 2D DWT”-Communications 2010, Bucharest, June 11 5/14

  7. Dependencies C. Nafornita, I. Firoiu, D. Isar, J. M. Boucher, A. Isar, “A Second Order Statistical Analysis of the 2D DWT”-Communications 2010, Bucharest, June 11 6/14

  8. inter-scale and inter-band inter-scale and inter-band inter-scale and intra-band inter-scale and intra-band intra-scale and inter-band intra-scale and inter-band intra-scale and intra-band intra-scale and intra-band Second Order Statistical Analysis m-scale,k-subband 7/14

  9. inter-scale and inter-band 8/14

  10. inter-scale and intra-band intra-scale and inter-band 9/14

  11. intra-scale and intra-band 10/14

  12. z+r, m=7 k=1 k=2 k=3 12/14

  13. 13/14

  14. Conclusions Inter-scale dependence: Coefficients in subbands with same type of orientation are asymptotically decorrelated. Inter-band dependence: bigger number of subbands, complex coefficients. Inter-band and inter-scale: coefficients asymptotically decorrelated. Subbands with opposite type of orientation – Cross- correlations are zero a.e.w. even for finite number of scales. Inter-scale and intra-band: correlations independent of the mother wavelets. Intra-scale and intra-band: whitening system. 14/14

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