Abstract In order to address estimation of mobile robot navigation, image sensors need acquire environmental information. This paper proposes sequence image match based on salient point invariants moments. It identifies salient point with SIFT scale-invariant algorithm, and the salient points have scale-invariant properties; it computes invariants moments of salient point neighborhood, search f...

We study random knots and links in R using the Petaluma model, which is based on the petal projections developed in [2]. In this model we obtain a formula for the distribution of the linking number of a random two-component link. We also obtain formulas for the expectations and the higher moments of the Casson invariant and the order-3 knot invariant v3. These are the first precise formulas giv...

The Orthogonal Variant Moments (OVM) are proposed in this paper as a way of characterization of any function or signal in general. This approach provides many benefits over the traditional characterization by invariant moments when it is applied to images, time series, wave recognition and information extraction, as it provides relevant information. Our approach to the theory of visual percepti...

Image distortion induced by the relative motion between an observer and the scene is an important cue for recovering the motion and the structure of the scene. It is known that the distortion in images can be described by transformation groups, such as Euclidean, a ne and projective groups. In this paper, we investigate how the moments of image curves are changed by group transformations, and w...

Combinatorial formulas for the moments of the Brownian motion on classical compact Lie groups are obtained. These expressions are deformations of formulas of B. Collins and P. Śniady for moments of the Haar measure and yield a proof of the First Fundamental Theorem of Invariant and of classical Schur-Weyl dualities based on stochastic calculus.

In this paper, we present two comparisons in isolated printed Tifinagh characters recognition, in fact the first comparison is between four hybrid methods exploited in features extraction which are the retinal coding combined with the Hu then with Legendre then with Zernike invariant moments, finally with these tree moments at the same time; in contrast the second comparison is performed in ord...