An Iterative Scheme for Matrix Factorization with Missing Data

Abstract:

Several factorization techniques have been proposed for tackling the Structure from Motion problem. Most of them provide a good solution, while the amount of missing and noisy data is within an acceptable ratio. Focussing on this problem, we propose to use an iterative multiresolution scheme, with classical factorization techniques. Information recovered following a coarseto-fine strategy is used for both, filling in the missing entries of the input matrix and denoising original data. An evaluation study, by using two different factorization techniques–the Alternation and the Damped Newton–is presented for both synthetic data and real video sequences. 1

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