Persistent homology for 3d reconstruction evaluation

Authors:
Antonio Gutierrez;David Monaghan;María José Jiménez;Noel E. O'Connor
Affiliations:
Applied Math Department, School of Computer Engineering, University of Seville, Sevilla, Spain;CLARITY: Centre for Sensor Web Technologies, Dublin City University, Ireland;Applied Math Department, School of Computer Engineering, University of Seville, Sevilla, Spain;CLARITY: Centre for Sensor Web Technologies, Dublin City University, Ireland
Venue:
CTIC'12 Proceedings of the 4th international conference on Computational Topology in Image Context
Year:
2012

Citing 9
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Topological evaluation of volume reconstructions by voxel carving

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Abstract

Space or voxel carving is a non-invasive technique that is used to produce a 3D volume and can be used in particular for the reconstruction of a 3D human model from images captured from a set of cameras placed around the subject. In [1], the authors present a technique to quantitatively evaluate spatially carved volumetric representations of humans using a synthetic dataset of typical sports motion in a tennis court scenario, with regard to the number of cameras used. In this paper, we compute persistent homology over the sequence of chain complexes obtained from the 3D outcomes with increasing number of cameras. This allows us to analyze the topological evolution of the reconstruction process, something which as far as we are aware has not been investigated to date.