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The Hurst parameter of a fractional Brownian motion (fBm) on a smooth manifold determines the regularity of the corresponding fractional Brownian surface (fBs). Estimating the regularity of a given fBs is difficult since the underlying fBm is unknown. We propose here the first spectral-regression algorithm to estimate the Hurst parameter of a given fBs. The algorithm is evaluated on a set of simulated fractional Brownian spheres and we present an application to brain surfaces.
This presentation is part of Contributed Presentation “CP2 - Contributed session 2”