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Computing shape descriptors based on vector-valued functions

Iuricich, Federico, Sara Scaramuccia, Claudia Landi, Leila De Floriani

Research Note, 25th International Meshing Roundtable, Sandia National Laboratories, September 26-30 2016

INTERNATIONAL
MESHING
ROUNTABLE

25th International Meshing Roundtable
Washington DC, U.S.A.
September 26-30, 2016

Federico Iuricich, University of Maryland, US, iurif@umd.edu
Sara Scaramuccia, University of Genova, IT, sara.scaramuccia@unige.it
Claudia Landi, University of Modena and Reggio Emilia, IT, claudia.landi@unimore.it
Leila De Floriani, University of Maryland, US, deflo@umiacs.umd.edu

Research Note Abstract
We present a new algorithm for computing a discrete gradient field on multivariate data. For multivariate data, we consider a shape with a vector-valued function f defined on it. The proposed algorithm is well suited for parallel and distribute implementations. The discrete gradient field V we obtain is a reduced representation of the original shape Σ (i.e. composed by fewer elements than Σ) and can be used for capturing the relationships among the different scalar functions of f . Moreover, V is proven to have the same multidimensional persistence of Σ.

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