A spectral mean for point sampled closed curves
Statistics Theory
2013-10-30 v1 Statistics Theory
Abstract
We propose a spectral mean for closed curves described by sample points on its boundary subject to mis-alignment and noise. First, we ignore mis-alignment and derive maximum likelihood estimators of the model and noise parameters in the Fourier domain. We estimate the unknown curve by back-transformation and derive the distribution of the integrated squared error. Then, we model mis-alignment by means of a shifted parametric diffeomorphism and minimise a suitable objective function simultaneously over the unknown curve and the mis-alignment parameters. Finally, the method is illustrated on simulated data as well as on photographs of Lake Tana taken by astronauts during a Shuttle mission.
Keywords
Cite
@article{arxiv.1310.7838,
title = {A spectral mean for point sampled closed curves},
author = {M. N. M. van Lieshout},
journal= {arXiv preprint arXiv:1310.7838},
year = {2013}
}