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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


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

Federico Iuricich, University of Maryland, US,
Sara Scaramuccia, University of Genova, IT,
Claudia Landi, University of Modena and Reggio Emilia, IT,
Leila De Floriani, University of Maryland, US,

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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