PHOG: Photometric and Geometric Functions for Textured Shape Retrieval

Biasotti S., Cerri A., Giorgi D., Spagnuolo M.

Geometry and topology representations  Computer Graphics and Computer-Aided Design  Shape analysis and synthesis 

In 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.

Source: Computer graphics forum (Print) 32 (2013): 13–22. doi:10.1111/cgf.12168

Publisher: Basil Blackwell Publishers, Oxford , Paesi Bassi

Metrics