Applications of PDEs and Optimization in Medical Image and Surface Processing
Professor Bin Dong
Department of Mathematics
UC San Diego
Variational, level set and PDE based methods and their applications in digital
image processing have been well developed and studied for the past twenty years.
These methods were soon applied to medical image processing problems.
However, the study for biological shapes, e.g. surfaces of brains or other human
organs, are still in its early stage. The bulk of this talk explores some
applications of variational, level set and PDE based methods in biological shape
processing and analysis.
There will be three topics in this talk. The first one is on 3D brain
aneurysm capturing using level set based method, which is inspired by the technique
of illusory contours in image analysis. The second one is on multiscale
representations(MSR) of 3D shapes, which is wavelet flavored but level set and PDE based.
The third one is on Bregman iteration as a fast
solver for L1-minimizations and its application
to image processing problems in DNA sequencing.