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The Faculty of Informatics is pleased to announce a seminar given by Roberto Cavoretto



Fast radial basis function partition of unity interpolation through block-based data structures
Speaker: Roberto Cavoretto
University of Torino, Italy
Date: Thursday, November 26, 2015
Place: USI Lugano Campus, room SI-003, Informatics building (Via G. Buffi 13)
Time: 15.30



In this seminar we present a new efficient interpolation tool, extremely suitable for large scattered data sets. The partition of unity method is used and  performed by blending radial basis functions (RBFs) as local approximants and using locally supported weight functions. In particular we propose a new space-partitioning data structure based on a partition of the underlying generic domain in blocks. This approach allows us to examine only a reduced number of blocks in the search process of the nearest neighbour points, leading to an optimized searching routine. Complexity analysis and numerical experiments in two- and three-dimensional interpolation support our findings. Some applications to geometric modelling are also considered.



Roberto Cavoretto is a Research Fellow in Numerical Analysis at the Department of Mathematics "Giuseppe Peano" of the University of Torino; Ph.D. in Mathematics, University of Torino in 2010. He held a post-doc position funded by the "Istituto Nazionale di Alta Matematica" (INdAM, Rome) in 2010-2011. In 2012-13 he was invited as visiting researcher at the Illinois Institute of Technology (Chicago, USA). He was member of organizing committees of some international conferences in Numerical Analysis and Modeling, and published more than 50 referred papers. His research activity is mainly focused on topics of Numerical Analysis and Applied Mathematics, such as kernel-based approximation, RBF methods, spherical interpolation, applications to image registration and biomathematics.


Host: Prof. Kai Hormann


Faculty of Informatics

Faculty of Informatics
Università della Svizzera italiana
Via Giuseppe Buffi 13
CH-6904 Lugano
Tel.: +41 (0)58 666 46 90
Fax: +41 (0)58 666 45 36
Email: decanato.inf@usi.ch
Web: www.inf.usi.ch
Twitter: @USI_INF


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