We show that for a measure -y on a Banach space directional different ¡ability implies quasi-translation invariance. This result is shown to imply the Cameron-Martin theorem. A second application is given in which 7 is the image of a Gaussian measure under a suitably regular map.

In this paper, we propose an invariant object detection method based on evidence accumulation and the Gabor transforms feature. In contrast to conventional evidence accumulation methods, the proposed method uses Gabor transform features to detect object parts. Experimental results prove that our algorithm robustly detects arbitrary shaped objects in cluttered environments with invariance to tra...

Nash’s solution in his celebrated article on the bargaining problem calling for maximization of product of marginal utilities is revisited; a different line of argument supporting such a solution is suggested by straightforward or more direct reasoning, and a conjecture is raised which purports uniqueness of algorithm, namely his solution. Other alternative inferior algorithms are also suggeste...

The conservation of translation as a symmetry in two-dimensional systems with interaction is a classical subject of statistical mechanics. Here we establish such a result for Gibbsian particle systems with two-body interaction, where the interesting cases of singular, hard-core and discontinuous interaction are included. We start with the special case of pure hard core repulsion in order to sho...

Sparse approximation using redundant dictionaries is an efficient tool for many applications in the field of signal processing. The performances largely depend on the adaptation of the dictionary to the signal to decompose. As the statistical dependencies are most of the time not obvious in natural highdimensional data, learning fundamental patterns is an alternative to analytical design of bas...

For the mode mixing problem caused by intermittency signal in empirical mode decomposition (EMD), a novel filtering method is proposed in this paper. In this new method, the original data is pretreated by using wavelet denoising method to avoid the mode mixture in the subsequent EMD procedure. Because traditional wavelet threshold denoising may exhibit pseudo-Gibbs phenomena in the neighborhood...

Counteracting geometrical attacks remains one of the most challenging problems in robust watermarking. In this paper, we resist rotation, scaling, and translation (RST) by constructing a kind of deformable pyramid transform (DPT) that is shift-invariant, steerable, and scalable. The DPT is extended from a closed-form polar-separable steerable pyramid transform (SPT). The radial component of the...

Traditional methods of extracting finger vein texture changes and orientation features are susceptible to illumination, translation, noise, rotation, the process has difficulty directly structural through original image. In this paper, histogram competitive Gabor directional binary statistics (HCGDBS) is proposed extract discriminative features. First, index largest filter value obtained based ...