ISSN:
1572-9036
Keywords:
35Q80
;
41A15
;
52B99
;
53A15
;
affine invariant
;
multi-scale smoothing
;
geometric heat flows
;
polygons
;
B-splines
;
ellipses
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We discuss three different affine invariant evolution processes for smoothing planar curves. The first one is derived from ageometric heat-type flow, both the initial and the smoothed curves being differentiable. The second smoothing process is obtained from a discretization of this affine heat equation. In this case, the curves are represented by planarpolygons. The third process is based onB-spline approximations. For this process, the initial curve is a planar polygon, and the smoothed curves are differentiable and even analytic. We show that, in the limit, all three affine invariant smoothing processes collapse any initial curve into anelliptic point.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00992844
