This paper derives scale, translation invariants as well as combined scale and translation invariants of Krawtchouk moments. Unmodified Krawtchouk moments are used for scale invariants whereas modified Krawtchouk moments are used for obtaining translation invariants because to retain the orthogonality property of discrete weighted Krawtchouk polynomials that is lost due to translation. Scale in...

Abstract—The invariant is one of central topics in science, technology and engineering. The differential invariant is essential in understanding or describing some important phenomena or procedures in mathematics, physics, chemistry, biology or computer science etc. The derivation of differential invariants is usually difficult or complicated. This paper reports a discovery that under the affin...

New invariant features are presented that can be used for the recognition of planar color patterns such as labels , logos, signs, pictograms, etc., irrespective of the viewpoint or the illumination conditions, and without the need for error prone contour extraction. The new features are based on moments of powers of the intensities in the individual color bands and combinations thereof. These m...

This paper presents a robust algorithm for computation of 2-D optical flow using the principle of conservation of a set of invariant local features that are representatives of local gray-level properties in an image. Specifically, a set of rotation-invariant local orthogonal Zernike moments is used as invariant features. These are inherently integral-based features, and therefore are expected t...

This paper constructs translation-invariant operators on L2.Rd /, which are Lipschitz-continuous to the action of diffeomorphisms. A scattering propagator is a path-ordered product of nonlinear and noncommuting operators, each of which computes the modulus of a wavelet transform. A local integration defines a windowed scattering transform, which is proved to be Lipschitz-continuous to the actio...

A robust image hashing method based on radon transform and invariant features is proposed for image authentication, image retrieval, and image detection. Specifically, an input image is firstly converted into a counterpart with a normalized size. Then the invariant centroid algorithm is applied to obtain the invariant feature point and the surrounding circular area, and the radon transform is e...

Citation Wang, Fa. " Realization of the exactly solvable Kitaev honeycomb lattice model in a spin-rotation-invariant system. Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story...

Existence of invariant measures for semi-linear stochastic evolution equations in separable real Hilbert spaces is considered, where the noise is generated by Hilbert space valued Lévy processes. It is shown that if the Lévy process has locally bounded second moments, if the semigroup generated by the linear part is hyperbolic, and if the Lipschitz constants of the nonlinearities are sufficient...

We calculate the hadronic tensor for inclusive semileptonic B → Xc l ν̄ decay to O(αs). This allows O(αs ΛQCD/mb) corrections to hadronic invariant mass observables to be directly evaluated with experimentally required cuts on phase space. Several moments of phenomenological interest are presented to order O(αs ΛQCD/mb) and O (

The dimension-six CP-violating SUL(2)×UY (1) invariant operators involving the tau lepton are studied. The constraints from the available experimental data on tau dipole moments are derived. Under the current constraints, the induced CP-violating effects could possibly be observed in τ → 3πντ at the future tau-charm factory. PACS: 13.35.Dx, 12.60.Cn