A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Certain optimal correspondences between plane curves, I: Manifolds of shapes and bimorphisms

2009
*
Transactions of the American Mathematical Society
*

In previous joint work, a theory introduced earlier by Tagare was developed for establishing certain kinds of correspondences, termed bimorphisms, between simple closed regular plane curves of differentiability class at least C 2 . A class of objective functionals was introduced on the space of bimorphisms between two fixed curves C 1 and C 2 , and it was proposed that one define a "best non-rigid match" between C 1 and C 2 by minimizing such a functional. In this paper we prove several

doi:10.1090/s0002-9947-08-04496-6
fatcat:xxoftsxrpjav3noehxxfhtwnty