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Persistent Homology for 3D Reconstruction Evaluation

  • Antonio Gutierrez
  • David Monaghan
  • María José Jiménez
  • Noel E. O’Connor
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7309)

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.

Keywords

voxel carving volume reconstruction persistent homology evaluation 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Antonio Gutierrez
    • 1
  • David Monaghan
    • 2
  • María José Jiménez
    • 1
  • Noel E. O’Connor
    • 2
  1. 1.Applied Math Department, School of Computer EngineeringUniversity of SevilleSevillaSpain
  2. 2.CLARITY: Centre for Sensor Web TechnologiesDublin City UniversityIreland

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