Codice 22/2012 Titolo Regression models for data distributed over non-planar domains Data 2012-05-11 Autore/i Ettinger, B.; Passerini, T.;Perotto, S.; Sangalli, L.M. Link Download full text Pubblicato Bree Ettinger, Tiziano Passerini, Simona Perotto, Laura M. Sangalli (2013), Spatial smoothing for data distributed over non-planar domains, in Complex Models and Computational Methods in Statistics, Springer, Series Contribution to Statistics, p. 123-136. Abstract We consider the problem of surface estimation and spatial smoothing over non-planar domains. In particular, we deal with the case where the data or signals occur on a domain that is a surface in a three-dimensional space. The application driving our research is the modeling of hemodynamic data, such as the shear stress and the pressure exerted by blood flow on the wall of a carotid artery. The regression model we propose consists of two key phases. First, we conformally map the surface domain to a region in the plane. Then, we apply existing regression methods for planar domains, suitably modified to respect the geometry of the original surface domain.