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Persistent Homology for 3D Reconstruction Evaluation


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Opened Access Persistent Homology for 3D Reconstruction Evaluation

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Author: Gutiérrez, Antonio
Monaghan, David S.
Jiménez Rodríguez, María José
O'Connor, Noel E.
Department: Universidad de Sevilla. Departamento de Matemática Aplicada I
Date: 2012
Published in: Computational Topology in Image Context, Lecture Notes in Computer Science, Vol. 7309 p.139-147
Document type: Chapter of Book
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
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