k-dimensional Size Functions for shape description and comparison

Biasotti, Silvia ; Cerri, Andrea ; Giorgi, Daniela (2007) k-dimensional Size Functions for shape description and comparison. p. 6. DOI 10.6092/unibo/amsacta/2316.
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This paper advises the use of k-dimensional size functions for comparison and retrieval in the context of multidimensional shapes, where by shape we mean something in two or higher dimensions having a visual appearance. The attractive feature of k-dimensional size functions is that they allow to readily establish a similarity measure between shapes of arbitrary dimension, taking into account different properties expressed by a multivalued real function defined on the shape. This task is achieved through a particular projection of k-dimensional size functions into the 1-dimensional case. Therefore, previous results on the stability for matching purposes become applicable to a wider range of data. We outline the potential of our approach in a series of experiments.

Document type
Monograph (Technical Report)
Biasotti, Silvia
Cerri, Andrea
Giorgi, Daniela
Deposit date
14 Mar 2007
Last modified
16 May 2011 12:05

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