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Anisotropic Di usion in Image Processing

Summary: Anisotropic Di usion
in Image Processing
Joachim Weickert
VomFachbereich Mathematikder UniversitatKaiserslautern
zur Verleihungdes akademischenGrades Doktorder Natur-
wissenschaften (Doctor rerum naturalium, Dr. rer. nat.)
genehmigte Dissertation
1. Gutachter: Prof. Dr. H. Neunzert
2. Gutachter: Prof. Dr. P.-L. Lions
Vollzug der Promotion: 29. 01. 1996
D 386
Meinen Eltern
Through many centuries physics has been one of the most fruitful sources of inspi-
ration for mathematics. As a consequence, mathematics has become an economic
language providing a few basic principles which allow to explain a large variety of
physical phenomena. Many of them are described in terms of partial di erential
equations (PDEs).
In recent years, however, mathematics also has been stimulated by other novel
elds such as image processing. Goals like image segmentation, multiscale im-


Source: Arnold, Anton - Institut für Analysis und Scientific Computing, Technische Universität Wien


Collections: Mathematics