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 <H2><A NAME="SECTIONREF">Bibliography</A>
</H2>
<DL COMPACT><DD>
<P>
<P></P><DT><A NAME="adorf"><STRONG>1</STRONG></A>
<DD> H.-M. Adorf, ``HST Image Restoration - Recent Developments'',
in P. Benvenuti and E. Schreier, Eds., Science with the Hubble Space 
Telescope, European Southern Observatory, 227-238, 1992.

<P>
<P></P><DT><A NAME="antonini"><STRONG>2</STRONG></A>
<DD> M. Antonini, M. Barlaud and P. Mathieu, ``Image coding using
vector quantization in the wavelet transform domain'', 
<EM>Proc. ICASSP</EM>, Albuquerque USA, 1990.

<P>
<P></P><DT><A NAME="bijaoui"><STRONG>3</STRONG></A>
<DD> A. Bijaoui, ``Algorithmes de la Transform&#233;e en Ondelettes,
Application &#224; l'imagerie astronomique'', <EM>Ondelettes et Paquets d'Ondes</EM>,
Inria, Rocquencourt, 1991.

<P>
<P></P><DT><A NAME="burt"><STRONG>4</STRONG></A>
<DD> P.J. Burt et A.E. Adelson, ``The Laplacian pyramid as a
 compact image code'',  IEEE Trans. on Communications, 31, pp. 532-540, 1983.

<P>
<P></P><DT><A NAME="cohen"><STRONG>5</STRONG></A>
<DD> J. Cohen, Astroph. Journal, 101 , 734, 1991.

<P>
<P></P><DT><A NAME="cornwell"><STRONG>6</STRONG></A>
<DD> T.J. Cornwell, ``Image Restoration'', 
 <EM>Proc. NATO Advanced Study Institute </EM> 
 <EM>on Diffraction-Limited Imaging with Very Large Telescopes</EM>,  273-292, 
Carg&#232;se, 1988.

<P>
<P></P><DT><A NAME="chui"><STRONG>7</STRONG></A>
<DD> C.H. Chui, ``An Introduction to Wavelets'', <EM>Wavelet
Analysis and its Application</EM>,
Academic Press, Harcourt Brace Jovanovich, Publisher, 1992.

<P>
<P></P><DT><A NAME="cdf"><STRONG>8</STRONG></A>
<DD> A. Cohen, I. Daubechies, J.C. Feauveau, ``Biorthogonal Bases
of Compactly  Supported Wavelets'',  <EM>Comm. Pur. Appl. Math.</EM>, 
Vol. 45, pp 485-560, 1992.

<P>
<P></P><DT><A NAME="daube"><STRONG>9</STRONG></A>
<DD> I. Daubechies, ``Orthogonal Bases of compactly Supported 
Wavelets'',
 <EM>Comm. Pur. Appl. Math.</EM>, Vol. 41, pp 909-996 , 1988.

<P>
<P></P><DT><A NAME="daube1"><STRONG>10</STRONG></A>
<DD> I. Daubechies, <EM>Ten lectures on Wavelets</EM>, Philadelphia, 1992.

<P>
<P></P><DT><A NAME="feauveau"><STRONG>11</STRONG></A>
<DD> J.C. Feauveau, ``Analyse Multir&#233;solution par Ondelettes non
Othogonales et Bancs de Filtres Num&#233;riques'',  Th&#232;se de Doctorat de
l'universit&#233;
Paris Sud, 1990.

<P>
<P></P><DT><A NAME="frieden"><STRONG>12</STRONG></A>
<DD> B.R. Frieden, ``Image Enhancement and Restoration'', 
 <EM>Topics in Applied Physics</EM>,  Springer-Verlag Berlin Heidelberg 
New York, Vol. 6, pp 177-249, 1975.

<P>
<P></P><DT><A NAME="gabor"><STRONG>13</STRONG></A>
<DD> D. Gabor, ``Theory of communication'',  Journal of I.E.E. <B>93</B>
pp 429-441, 1946.

<P>
<P></P><DT><A NAME="galatsanos"><STRONG>14</STRONG></A>
<DD> N.P. Galatsanos and A.K. Katsaggelos, ``Methods for Choosing Regularization
Parameter and Estimating the Noise in Image Restoration and their Relation'',
IEEE Trans. on Image Processing, July 1992.

<P>
<P></P><DT><A NAME="golub"><STRONG>15</STRONG></A>
<DD> G.H. Golub, M. Heath and G. Wahba, ``Generalized
 Cross-Validation as a Method for Choosing good ridge Parameter'',
<EM>Technometrics</EM> 21 (2),  215-223, 1979.

<P>
<P></P><DT><A NAME="goupillaud"><STRONG>16</STRONG></A>
<DD> P. Goupillaud, A. Grossmann, J. Morlet, ``Cycle-octave and
related transforms in seismic signal analysis'', 
<EM>Geoexploration</EM>, 23,  85-102, 1984-1985.

<P>
<P></P><DT><A NAME="grossmann"><STRONG>17</STRONG></A>
<DD> A. Grossmann and J. Morlet, ``Decomposition of Hardy 
functions into square integrable wavelets of constant shape'', 
 <EM>SIAM J. Math. Anal</EM>, Vol. 15, pp 723-736, 1984.

<P>
<P></P><DT><A NAME="hall"><STRONG>18</STRONG></A>
<DD> E. L. Hall, ``Image Enhancement and Restoration'', 
<EM>Computer Image Processing and Recognition</EM>, Computer Science and
Applied Mathematics, p 225, 1979.

<P>
<P></P><DT><A NAME="holschn"><STRONG>19</STRONG></A>
<DD> M. Holschneider, R. Kronland-Martinet, J. Morlet et Ph. 
Tchamitchian,"
The &#224; trous Algorithm",  <EM>CPT-88/P.2215</EM>, Berlin, pp 1-22, 1988.

<P>
<P></P><DT><A NAME="holschn1"><STRONG>20</STRONG></A>
<DD> M. Holschneider, P. Tchamitchian, <EM>Les ondelettes
en 1989</EM>, PG Lemari&#233;, Springer Verlag, Berlin,  p. 102, 1990.

<P>
<P></P><DT><A NAME="Landweber"><STRONG>21</STRONG></A>
<DD> L. Landweber, ``An iteration formula for Fredholm integral
equations of the first kind'',  <EM>Am. J. Math.</EM>, Vol. 73, 615-624, 1951.

<P>
<P></P><DT><A NAME="littlewood"><STRONG>22</STRONG></A>
<DD> J. Littlewood, R. Paley, <EM>Jour. London Math. Soc.</EM>,
Vol. 6, p. 230, 1931.

<P>
<P></P><DT><A NAME="lucy"><STRONG>23</STRONG></A>
<DD> L. B. Lucy, ``An Iteration Technique for the Rectification of
Observed Distributions'', Astron. Journal,  79, 745-754, 1974.

<P>
<P></P><DT><A NAME="katsaggelos"><STRONG>24</STRONG></A>
<DD> A.K. Katsaggelos, Ed., <EM>Digital Image Restoration</EM>,
Spinger-Verlag, 1991.

<P>
<P></P><DT><A NAME="mallat"><STRONG>25</STRONG></A>
<DD> S. Mallat, ``A Theory for Multiresolution Signal 
Decomposition:
The Wavelet Representation'',  <EM>Proc. IEEE Trans on Pattern Anal. and Math.
intel.</EM>, Vol. 11, No 7, 1989.

<P>
<P></P><DT><A NAME="meyer"><STRONG>26</STRONG></A>
<DD> Y. Meyer, <EM>Wavelets</EM>, 
Ed. J.M. Combes et al., Springer Verlag, Berlin, p. 21, 1989.

<P>
<P></P><DT><A NAME="meyer90"><STRONG>27</STRONG></A>
<DD> Y. Meyer, <EM>Ondelettes</EM>, Ed. Hermann, Paris, 1990.

<P>
<P></P><DT><A NAME="meyer91"><STRONG>28</STRONG></A>
<DD> Y. Meyer, "M&#233;thodes temps-fr&#233;quence et m&#233;thode
temps-&#233;chelle en traitement du signal et de l'image", <EM>Proc. Ondelettes et Paquets d'Ondes</EM>,
Inria, Rocquencourt, 1991. 

<P>
<P></P><DT><A NAME="meyer92"><STRONG>29</STRONG></A>
<DD> Y. Meyer, <EM>Ondelettes: Algorithmes et Applications</EM>,
A. Colin, Paris, 1992.

<P>
<P></P><DT><A NAME="murenzi"><STRONG>30</STRONG></A>
<DD> R. Murenzi, <EM>Wavelets</EM>, eds. J.M. Combes, A. Grossman,
P. Tchmitchian, Springer Berlin, Heidelberg, New-York, 1988.

<P>
<P></P><DT><A NAME="ruskai"><STRONG>31</STRONG></A>
<DD> M.B. Ruskai, G. Beylkin, R. Coifman, I. Daubechies, S. Mallat,
Y. Meyer, and L. Raphael, <EM>Wavelets and their Applications</EM>,
Jones and Barlett Publishers, Boston, 1992.

<P>
<P></P><DT><A NAME="shannon"><STRONG>32</STRONG></A>
<DD> C.E. Shannon, <EM>Bell System Tech.</EM>, Vol. 27, 
p.379, 1948.

<P>
<P></P><DT><A NAME="shensa"><STRONG>33</STRONG></A>
<DD> M.J. Shensa, "Discrete Wavelet Transforms:  
Wedding  the &#224; trous and Mallat Algorithms", <EM>IEEE Rrans. on Signal
Process.</EM>, Vol. 40, 10, pp2464-2482, 1992.

<P>
<P></P><DT><A NAME="smith"><STRONG>34</STRONG></A>
<DD> M.J.T. Smith and T.P. Barnwell, ``Exact reconstruction 
technique for tree structured subband coders'', 
<EM>IEEE ASSP</EM>, Vol. 34, pp. 434-441, 1988.

<P>
<P></P><DT><A NAME="starck1"><STRONG>35</STRONG></A>
<DD> J.L. Starck, and A. Bijaoui, ``Filtering and Deconvolution
 by the Wavelet Transform'',  to appear in <EM>Signal Processing</EM>.

<P>
<P></P><DT><A NAME="starck2"><STRONG>36</STRONG></A>
<DD> J.L. Starck, A. Bijaoui, B. Lopez, and C. Perrier, ``Image
Reconstruction by the the Wavelet Transform Applied to Aperture
Synthesis'', to appear in <EM>Astron. Astrophys.</EM>, 1993.  

<P>
<P></P><DT><A NAME="starck3"><STRONG>37</STRONG></A>
<DD> J.L. Starck, A. Bijaoui, ``Multiresolution
Deconvolution'', submitted to <EM>JOSA A</EM>, 1993. 

<P>
<P></P><DT><A NAME="starck4"><STRONG>38</STRONG></A>
<DD> J.L. Starck, ``Analyse en Ondelettes et Imagerie &#224;
Haute R&#233;solution Angulaire'', Th&#232;se de Doctorat de l'universit&#233; de
Nice, 1992.

<P>
<P></P><DT><A NAME="starck5"><STRONG>39</STRONG></A>
<DD> J.L. Starck and F. Murtagh, ``Richardson-Lucy Image 
Restoration with Noise Suppression Based on the Wavelet Transform'', 
ESO Data Analysis Workshop, Germany, 1993.

<P>
<P></P><DT><A NAME="tikhonov"><STRONG>40</STRONG></A>
<DD> A.N. Tikhonov, and  V. Y. Arsenin, ``Solution of
Ill-Posed Problems'', Winston,  Washington, D.C., 1977.

<P>
<P></P><DT><A NAME="cittert"><STRONG>41</STRONG></A>
<DD> P.H. Van Cittert,  <EM>Z. Physik</EM>, Vol. 69, p. 298,
 1931.

<P>
</DL>
<P>
=1 =11 =1993    

<P>
<BR><HR>
<ADDRESS>
<I>Petra Nass</I>
<BR><I>1999-06-15</I>
</ADDRESS>
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