Editorial Boar d
Jerry L . Bon a (Chair ) Nige l J . Hitchi n
Jean-Luc Brylinsk i Nicola i Reshetikhi n
2000 Mathematics Subject Classification. Primar y 35Q30 , 42C40 , 65T60 , 76D05 , 76D06 .
ABSTRACT. Thi s boo k i s aime d a t bridgin g a ga p betwee n signa l processing , imag e processing ,
and nonlinea r differentia l equations . Mor e precisel y th e rol e playe d b y oscillatin g pattern s wil l
be emphasized . Thes e pattern s occu r a s th e texture d component s o f images . The y als o occu r i n
frequency modulate d signal s o r chirps . Wha t i s mor e surprisin g i s th e relevanc e o f suc h pattern s
in partia l differentia l equations .
The firs t hal f o f thi s essa y ca n b e use d a s a textbook , sinc e full y detaile d proof s ar e given .
Library o f Congres s Cataloging-in-Publicatio n D a t a
Meyer, Yves .
Oscillating pattern s i n imag e processin g an d nonlinea r evolutio n equation s : th e fifteenth Dea n
Jacqueline B . Lewi s memoria l lecture s / Yve s Meyer .
p. cm . (Universit y lectur e series , ISS N 1047-3998 ; v. 22 )
Includes bibliographica l references .
ISBN 0-8218-2920-3 (alk . paper )
1. Evolutio n equations , Nonlinear . 2 . Image compression . 3 . Signal processing—Mathematics .
4. Oscillations . I . Universit y lectur e serie s (Providence , R.I. ) ; 22.
QA377.M495 200 1
515'.353—dc21 2001041268
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