Basic Research Award 2000

Prof. Dr. Dr.h.c. Ingrid Daubechies
  • für die Erfindung, die mathematische Aufbereitung und die technische Anwendung der Wavelets, die als orthogonale Funktionensysteme eine breite Anwendung in der Signalverarbeitung, der Radartechnik und der Bildverarbeitung gefunden haben, insbesondere bei dem neuen JPEG 2000 Standard zur Bildkompression.
  • for the invention, the mathematical development and the application of wavelets, which have found widespread applications as orthogonal functions in signal processing, radar, and image processing, especially for the new image compression standard JPEG 2000.
  • Curriculum Vitae von Prof. Dr. Dr.h.c. Ingrid Daubechies
     
    17.08.1954 Geboren in Houthalen, Belgien.
    1975 Bachelor in Physik und
    1980 Promotion in Physik an der Vrije Universiteit Brüssel.
    1975-84 Forschungsassistentin und
    1984-87 Forschungsdozentin in der Abteilung für Theoretische Physik an der Vrije Universiteit Brüssel.
    1987-94 (1987 Umzug in die USA) Techn. Mitarbeiterin am Mathematics Research Center der AT&T Bell Laboratories.
    1991-94 Professorin am Mathematics Department der Rutgers University.
    seit 1993
    bis heute

    Professorin am Mathematics Department and Pgram in Applied and Computational Mathematics der Princeton University und seit 1997 deren Direktorin.
    (1996 Einbürgerung in die USA)
    Auszeichnungen und Ehrungen
    1984 Louis Empain Prize for Physics..
    1992-97 Fellow of the John D. and Catherine T. MacArthur Foundation.
    1993 Member of the American Academy of Arts and Sciences.
    1994 American Mathematical Society Ruth Lyttle Satter Prize.
    1998 a) The International Society for Optical Engineering; Recognition of Outstanding Achievement.
    b) Member of the National Academy of Sciences.
    c) IEEE Information Theory Society Golden Jubilee Award for Technological Innovation.
    d) Fellow of the Institute of Electrical and Electronics Engineers.
    1999 Foreign Member of the Royal Netherlands Academy of Arts and Sciences.
    2000 a) Doctor honoris causa, Université Libre de Bruxelles.
    b) National Academy of Sciences Medal in Mathematics.

    WAVELETS - The basis of digital image coding

    In information technology, signals, images and videos frequently are not directly represented in chronological order, but rather in a transformed sequence. A well-known example is the Fourier Transform, by which a signal is transformed into its Fourier spectrum. This spectrum shows how much of the bandwidth the signal consumes on a communications channel. Two-dimensional images are commonly transformed by a two-dimensional Cosine Transform. The transformed image displays the energy content, thus enabling image compressiontechniques to assign binary symbols (bits) only to those areas where thy are needed. this means the images use less storage capacity on a disk and can be transmitted faster via Internet..

    During the last twelve years Professor Daubechies has worked on such a transformation, the "Wavelet Transform", which can perform the task of image transformation in a much better way. Ingrid Daubechies not only carefully investigated the mathematical properties of these wavelet functions, but also further developed them in her paper of 1988 so that they allow perfect reconstruction using filter banks. Her work together with that of Mallat enabled the breakthrough of this transform technique for image and video recordings. The success of her fundamental work was underscored by the definition of a new image compression standard, called JPEG 2000. This new standard has been defined by an international group of experts and was finally released in December of 1999. therefore the wavelet based method will become the standard compression technique for image and video storage and for transmission through Internet and World Wide Web (WWW). When transformed using wavelets, the images need even fewer bits for their representation. Furthermore, the new technique avoid annoying artifacts during reconstruction and allows hierarchial image transmission. The latter feature means that a few packets are sufficient to obtain a crude picture; the following packets a re used for the enhandement of the image quality. This is an important feature for Internet transmission where packets can get lost on their way.

    The wavelets investigated by Professor Daubechies are used in many other areas, such as time-frequency analysis, multi-carrier data transmission, radar, biomedicine and computer graphics.

    Ingrid Daubechies is not only an innovative researcher, but also a good communicator in her papers and talks. Her award-winning book "Ten Lectures on Wavelets" contributed greatly to the popularization of the wavelet theory.

    The Eduard Rhein Basic Award honors the fundamental research work of Professor Ingrid Daubechies, which shows in an exemplary way that theoretical research in basic mathematics can lead to very practical methods useful for a variety of applications in advanced information technology.
     
    Prof. Dr. Joachim Hagenauer,  
    TU München  

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