**Johannes Wallner (TU Graz)**

### Title: Mathematical Analysis and Processing of Nonstandard Data Types

Continuous data come in many varieties: a time-dependent value
is 1D data, whereas a photo can be seen as data whose domain is
two-dimensional and whose range is R^3 (we have three color values for
each point of the image). There are many standard methods for the
analysis, storage, compression, and processing of such data: I would like
to mention wavelet analysis, or the JPEG graphics format. These methods
are linear and will therefore work only to a limited extent if the data we
must handle live in genuinely nonlinear geometries: Examples are the
time-dependent position of a rigid body in space, or diffusion tensor
images. This presentation will describe some new developments and results
in this area.

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