Simple Skins for Matrices (and Other Meshes)
Surface Fitting via Matrix SVD
Andy Long and Cliff Long
Abstract:
Many of us have had occasion to fit a curve to
data points, either by interpolating the data (fitting the
points exactly) or creating a smooth approximation (in the
presence of noise, say). Extensions of the usual curve-
fitting procedures to the problem of fitting surfaces are
often cumbersome and clumsy, and not easy to implement. In
this talk we present a simple (and easily implemented)
method for fitting grid data (data which is a representable
as a deformation of a two-dimensional grid), beginning with
the important special case of a matrix and moving to more
complex objects. We'll focus on a variety of examples,
showing the general applicability of the method, and point
to some important and useful extensions.
The Presentation
Given at the
Fall Meeting of the Ohio Section of the MAA
October 22-23, 1999;
College of Wooster.
Some of this work will appear in an upcoming issue of The College Math
Journal; other parts have been submitted to Computer-Aided Geometric
Design.
Additional related images, which didn't make it into the presentation:
Website maintained by Andy Long.
Comments appreciated.
aelon@sph.umich.edu