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Topological evaluation of volume reconstructions by voxel carving

Gutierrez, Antonio, Jiménez, Maria Jose, Monaghan, David orcid logoORCID: 0000-0002-5169-9902 and O'Connor, Noel E. orcid logoORCID: 0000-0002-4033-9135 (2014) Topological evaluation of volume reconstructions by voxel carving. Computer Vision and Image Understanding, 121 . pp. 27-35. ISSN 1077-3142

Space or voxel carving [1, 4, 10, 15] is a technique for creating a three-dimensional reconstruction of an object from a series of two-dimensional images captured from cameras placed around the object at different viewing angles. However, little work has been done to date on evaluating the quality of space carving results. This paper extends the work reported in [8], where application of persistent homology was initially proposed as a tool for providing a topological analysis of the carving process along the sequence of 3D reconstructions with increasing number of cameras. We give now a more extensive treatment by: (1) developing the formal framework by which persistent homology can be applied in this context; (2) computing persistent homology of the 3D reconstructions of 66 new frames, including different poses, resolutions and camera orders; (3) studying what information about stability, topological correctness and influence of the camera orders in the carving performance can be drawn from the computed barcodes.
Item Type:Article (Published)
Subjects:Mathematics > Topology
Computer Science > Visualization
DCU Faculties and Centres:Research Institutes and Centres > INSIGHT Centre for Data Analytics
Official URL:http://dx.doi.org/10.1016/j.cviu.2013.11.005
Copyright Information:© 2014 Elsevier
Use License:This item is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 3.0 License. View License
ID Code:19612
Deposited On:25 Mar 2014 13:05 by David Monaghan . Last Modified 19 Oct 2018 12:37

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