2016-11-01
A spectral mean for random closed curves
Publication
Publication
Spatial Statistics , Volume 18 Part A p. 72- 85
We propose a spectral mean for closed sets described by sample points on their boundaries subject to mis-alignment and noise. We derive maximum likelihood estimators for the model and noise parameters in the Fourier domain. We estimate the unknown mean boundary curve by back-transformation and derive the distribution of the integrated squared error. Mis-alignment is dealt with by means of a shifted parametric diffeomorphism. The method is illustrated on simulated data and applied to photographs of Lake Tana taken by astronauts during a Shuttle mission.
| Additional Metadata | |
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| doi.org/10.1016/j.spasta.2016.02.002 | |
| Spatial Statistics | |
| Organisation | Stochastics |
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van Lieshout, M.-C. (2016). A spectral mean for random closed curves. Spatial Statistics, 18 Part A, 72–85. doi:10.1016/j.spasta.2016.02.002 |
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