Biasotti, SilviaCerri, AndreaGiorgi, DanielaSpagnuolo, MichaelaYaron Lipman and Hao Zhang2015-02-282015-02-2820131467-8659https://doi.org/10.1111/cgf.12168In this paper we target the problem of textured 3D object retrieval. As a first contribution, we show how to include photometric information in the persistence homology setting, also proposing a novel theoretical result about multidimensional persistence spaces. As a second contribution, we introduce a generalization of the integral geodesic distance which fuses shape and color properties. Finally, we adopt a purely geometric description based on the selection of geometric functions that are mutually independent. The photometric, hybrid and geometric descriptions are combined into a signature, whose performance is tested on a benchmark dataset.[Computer Graphics]Shape analysis and synthesis[Computer Graphics]Geometry and topology representations