The relationship between multiresolution analysis and filtering schemes is a well-known facet of wavelet theory. However, in the case of rational dilation factors, the wavelet literature is somewhat lacking in its treatment of this relationship. This work seeks to establish a means for the construction of stable filtering schemes with rational dilations through the theory of shift-invariant spa...

We develop a theory for the temporal integration of visual motion motivated by psychophysical experiments. The theory proposes that input data are temporally grouped and used to predict and estimate motion flows in the image sequences. Our theory is expressed in terms of the Bayesian generalization [10] of standard Kalman Filtering which allows us to solve temporal grouping in conjunction with ...

[71 F. J. MacWill iams and N. J. A. Sloane, The Theory of Error-Correcting Codes. New York: North-Holland, 1977. E. R. Berlekamp, Algebraic Coding Theory. New York: McGraw-Hill, 1968. P. Delsarte, “Automorphisms of Abelian codes,” Philips Res. Rep., vol. 25, pp. 389-402, 1970. F. J. MacWill iams, “Binary codes which are ideals in the group algebra of an Abelian group,” Bell Sysr. Tech. J., vol....

Innovative aspects To apply non-linear estimation techniques to represent the knowlegde acquired by a mobile sensor about the geometric structure of the spatial field that surrounds it, and to use this knowledge to design effective observation strategies to estimate a number of associated features. The results of the study will be applied to the problem of detecting a leaking source in a turbul...