Summary: 1 ON AREA PRESERVING MAPPINGS
OF MINIMAL DISTORTION
S. Angenent y , Steven Haker*, Allen Tannenbaum*, Ron Kikinis**
yDepartment of Mathematics
University of Wisconsin
Madison, Wisconsin 53705
*Department of Electrical and Computer Engineering
University of Minnesota
Minneapolis, MN 55455
**Harvard Medical School
Brigham and Women's Hospital
Harvard University
Boston, MA 02115
Abstract: In this paper, using certain conformal mappings from uniformiza­
tion theory, we give an explicit method for unfolding surfaces which locally
preserves the geometry. We moreover discuss area preserving flattenings, and
those which have minimal distortion in the sense of preserving angles. These
results may be used for various purposes in 3D medical visualization, in partic­
ular for the visualization of the brain surface in functional MR, and in virtual
colonoscopy.

Source: Angenent, Sigurd - Department of Mathematics, University of Wisconsin at Madison

Collections: Mathematics