A Volumetric Reconstruction Method from Multiple Calibrated Views using Global Graph Cut Optimization

Sylvain Paris 1 François X. Sillion 1 Long Quan 1
1 ARTIS - Acquisition, representation and transformations for image synthesis
GRAVIR - IMAG - Graphisme, Vision et Robotique, Inria Grenoble - Rhône-Alpes, CNRS - Centre National de la Recherche Scientifique : FR71
Abstract : In this paper, a new formulation and solution to volumetric reconstruction from multiple calibrated images is presented. This problem has been previously formulated either as a continuous geometric optimization process driven by local numerical methods, or as a discrete labelling problem solved by global techniques for computing only stereo disparities. Our new formulation builds a bridge between these two approaches and takes advantage of both: a continuous geometric functional is minimized up to a discretization by a global graph cut algorithm. The relation between the continuous and discrete formulations is straightforwardly established. The minimization operates on a 3D embedded graph whose minimal cut is a solution of the discrete problem, leading to a global minimum. This new approach handling both occlusions and discontinuities has been demonstrated on real sequences, giving remarkably detailed surface geometry up to 1/10th pixel.
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Sylvain Paris, François X. Sillion, Long Quan. A Volumetric Reconstruction Method from Multiple Calibrated Views using Global Graph Cut Optimization. [Research Report] RR-4843, INRIA. 2003. ⟨inria-00071742⟩

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