We propose an image duplicate detection method for identifying modified copies of the same image in a very large database. Modifications that we consider include rotation, scaling and cropping. A compact 12 dimensional descriptor based on Fourier Mellin Transform is introduced. The compactness of this descriptor allows efficient indexing over the entire database. Results are presented on a 10 m...

This paper is devoted to the approximation of a certain class analytic functions by shifts Z(s+iτ), τ∈R, modified Mellin transform Z(s) square Riemann zeta-function ζ(1/2+it). More precisely, we prove existence closed non-empty set F such that there are infinitely many which approximate given function from with accuracy. In proof, weak convergence measures in space applied. Then, coincides supp...

We employ separation of variables to prove weighted resolvent estimates for the semiclassical Schrödinger operator −h2Δ+V(|x|)−E in dimension n≥2, where h,E>0, and V:[0,∞)→R is L∞ compactly supported. The norm grows no faster than exp⁡(Ch−1), while an exterior ∼h−1. introduce a new method based on Mellin transform handle two-dimensional case.

Remote sensing and robotics often rely on visual odometry (VO) for localization. Many standard approaches VO use feature detection. However, these methods will meet challenges if the environments are feature-deprived or highly repetitive. Fourier-Mellin Transform (FMT) is an alternative approach that has been shown to show superior performance in scenarios used remote sensing. One limitation of...

This paper is concerned with the valuation of options in jump diffusion models. The partial integro-differential equation (PIDE) inherent in the pricing problem is solved by using the Mellin integral transform. The solution is a single integral expression independent of the distribution of the jump size. We also derive analytical expressions for the Greeks. The results are implemented and compa...

The ambiguity function that results from the space-variant optical processing of nonlinear coded waveforms is analyzed. The space-variant signal processor considered is realized by coordinate transformations. Specifically we consider x = lnt, which results in a Mellin transform-based Doppler-invariant signal processor. Ambiguity function data are provided for a nonlinearly coded 13-bit Barker c...