This paper presents a novel methodology for content-based search and retrieval of 3D objects. After proper positioning of the 3D objects using translation and scaling, a set of functionals is applied to the 3Dmodel producing a new domain of concentric spheres. In this new domain, a new set of functionals is applied, resulting in a descriptor vector which is completely rotation invariant and thu...

This paper introduces an efficient image identification method designed to be robust to various image modifications such as scaling, rotation, compression, flip and grey scale conversion. Our method uses trace transform to extract a 1D representation of an image, from which a binary string is extracted using a Fourier transform. Multiple component descriptors are extracted and combined to boost...

For 1 ≤ p ≤ 2, we prove sharp weak-type (p, p) estimates for the BeurlingAhlfors operator acting on the radial function subspaces of Lp(C). A similar sharp Lp result is proved for 1 < p ≤ 2. The results are derived from martingale inequalities which are of independent interest.

Abstract. The Fourier transform is naturally defined for integrable functrions. Otherwise, it should be stipulated in which sense the Fourier transform is understood. We consider some class of radial and, generally saying, nonintegrable functions. The Fourier transform is calculated as an improper integral and the limit coincides with the Fourier transform in the distributional sense. The inver...

In this paper, the Elzaki transform method is used for solving two-dimensional (2D) elasticity problems in plane polar coordinates. Airy stress function was used to express the stress compatibility equation as a biharmonic equation. Elzaki transform was applied with respect to the radial coordinate to a modified form of the stress compatibility equation, and the biharmonic equation simplified t...

Nonaxisymmetric solutions to time-fractional diffusion-wave equation with a source term in cylindrical coordinates are obtained for an infinite medium. The solutions are found using the Laplace transform with respect to time t, the Hankel transform with respect to the radial coordinate r, the finite Fourier transform with respect to the angular coordinate φ, and the exponential Fourier transfor...

This article introduces a new image processing technique for rapid analysis of tagged cardiac magnetic resonance image sequences. The method uses isolated spectral peaks in SPAMM-tagged magnetic resonance images, which contain information about cardiac motion. The inverse Fourier transform of a spectral peak is a complex image whose calculated angle is called a harmonic phase (HARP) image. It i...

Introduction . Track detection is one of the main tasks to be solved in trajectory processing. This task can efficiently using Hough Transform. A track considered detected if number position measurements received a consecutive radar scans and falling into same cell parameter space (accumulator) has exceeded threshold. However, effective practical application transform requires sufficiently long...