Otmar Scherzer
Abstract:
Diffusion processes create multi--scale analyses, which enable
the generation of simplified pictures, where for
increasing scale the image gets sketchier. In many practical
applications the ``scaled image'' can be characterized via a
variational formulation as the solution of a minimization problem
involving unbounded operators. These unbounded operators can be
evaluated by regularization techniques. We show that the
theory of stable evaluation of unbounded operators can be applied
to efficiently solve these minimization problems.
Submitted July 8, 1997. Published September 10, 1997.
Math Subject Classification: 65J10, 65J15, 65K10, 35J60, 26A45.
Key Words: Nondifferntiable optimization problems, regularization,
inverse problems, image reconstruction, bounded variation norm.
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