Recursive Estimation of Motion Parameters

Consistent fundamental matrix estimation in a quadratic measurement error model arising in motion analysis

“…A lot of techniques have been tried in order to improve the accuracy of the eight-point algorithm in the presence of noise (Cirrincione and Cirrincione, 1999;Cirrincione, 1998;Chaudhuri and Chatterjee, 1996;Torr and Murray, 1997;Hartley, 1997;M uhlich and Mester, 1998;Leedan and Meer, 2000). In case of large images, the condition number of A T A worsens because of the lack of homogeneity in the image coordinates.…”

“…One way of scaling is to normalize the input vectors. Chaudhuri and Chatterjee (1996) use this preprocessing before ordinary TLS (this approach yields very bad results). Another preprocessing used in the literature is the statistical scaling of Hartley (1997) which requires a centering and a scaling (either isotropic or non-isotropic) of the image feature points.…”

“…Cirrincione (Cirrincione, 1998;Chaudhuri and Chatterjee, 1996) further improved the (M uhlich and Mester, 1998) method by means of a robust constrained TLS (CTLS) technique, which solves (6) by taking into account the algebraic dependencies between the errors. Also Leedan and Meer (2000) applied a similar approach using a generalized TLS techniques (Van Hu el and Vandewalle, 1989).…”

Recursive Estimation of Illuminant Motion from Flow Field and Simultaneous Recovery of Shape

“…This weighing with a forgetting factor is similar to that used in recursive least squares (RLS) [23] algorithm. The recursive TLS [19] solution in this case is obtained similarly by taking the SVD of the symmetric matrix…”

Perturbation scheme for online learning of features: Incremental principal component analysis

“…Due to paucity of data, it is quite difficult to extract essential features from initially given training samples. To address this problem, several incremental algorithms have been developed [12][13][14][15][16][17][18] that compute PCA by successively updating an earlier model as new observations become available. Incremental PCA methods are found to be important in problems of pattern recognition because they can be used as part of an online learning system.…”