作者: Richard Hartley , René Vidal , None
DOI: 10.1007/978-3-540-88682-2_22
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摘要: We present a closed form solution to the nonrigid shape andmotion (NRSM) problem from point correspondences in multipleperspective uncalibrated views. Under assumption that thenonrigid object deforms as linear combination of Krigidshapes, we show NRSM can be viewed areconstruction multiple projections fromℙ3K ℙ2. Therefore,one linearly solve for projection matrices by factorizing amultifocal tensor. However, this projective reconstruction inℙ3K does not satisfy constraints ofthe problem, because it is computed only up projectivetransformation ℙ3K . Our keycontribution that, exploiting algebraic dependenciesamong entries matrices, one upgrade theprojective determine affine configuration points ℝ3, and motion camerarelative their centroid. Moreover, if K≥ 2, theneither using calibrated cameras, or assuming camera withfixed internal parameters, possible compute Euclideanstructure method.