The theme of the 2010 PCMI Summer School was
Mathematics in Image Processing in a broad sense, including
mathematical theory, analysis, computation algorithms and
applications. In image processing, information needs to be processed,
extracted and analyzed from visual content, such as photographs or
videos. These demands include standard tasks such as compression and
denoising, as well as high-level understanding and analysis, such as
recognition and classification. Centered on the theme of mathematics
in image processing, the summer school covered quite a wide spectrum
of topics in this field. The summer school is particularly timely and
exciting due to the very recent advances and developments in the
mathematical theory and computational methods for sparse
representation.
This volume collects three self-contained lecture series. The
topics are multi-resolution based wavelet frames and applications to
image processing, sparse and redundant representation modeling of
images and simulation of elasticity, biomechanics, and virtual
surgery. Recent advances in image processing, compressed sensing and
sparse representation are discussed.
Readership
Graduate students and research mathematicians interested in the
mathematics of image processing.
