Mathematical Biology Seminar|
University of Utah, Department of Atmospheric Sciences
Wednesday Nov. 9th, 2011
3:05pm in LCB 225
"The width of things non-convex: an application of Laplace's equation"
Many objects in nature are non-convex, meaning that lines connecting two points in
the object are not always contained in the object. For such non-convex objects, an
objective width can be defined based on a two-dimensional or three-dimensional
solution to Laplace's equation inside the object. The solution to Laplace's
equation represents a potential, and width can be measured along curves orthogonal
to the isolines or isosurfaces of that potential (i.e., along "field lines"). The
method has been used in medical imaging to measure the width of human organs.
Here, the method is applied to satellite-based sea ice data to uncover trends and
variability in the width of the Arctic marginal ice zone - a biologically active
region where intense atmosphere-ice-ocean interactions broadly impact climate.