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Conference Paper

Space-Time Isosurface Evolution for Temporally Coherent 3D Reconstruction

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Goldluecke,  Bastian
International Max Planck Research School, MPI for Informatics, Max Planck Society;
Graphics - Optics - Vision, MPI for Informatics, Max Planck Society;

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Magnor,  Marcus
Graphics - Optics - Vision, MPI for Informatics, Max Planck Society;

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Citation

Goldluecke, B., & Magnor, M. (2004). Space-Time Isosurface Evolution for Temporally Coherent 3D Reconstruction. In Proceedings of the 2004 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, CVPR 2004 (pp. 350-355). Los Alamitos, USA: IEEE.


Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-2B3E-E
Abstract
We model the dynamic geometry of a time-varying scene as a 3D isosurface in space-time. The intersection of the isosurface with planes of constant time yields the geometry at a single time instant. An optimal fit of our model to multiple video sequences is defined as the minimum of an energy functional. This functional is given by an integral over the entire hypersurface, which is designed to optimize photo-consistency. A PDE-based evolution derived from the Euler-Lagrange equation maximizes consistency with all of the given video data simultaneously. The result is a 3D model of the scene which varies smoothly over time. The geometry reconstructed by this scheme is significantly better than results obtained by space-carving approaches that do not enforce temporal coherence.