An experimental investigation on shape retrieval using Quadratic Polynomial Interpolation of Adjacent Landmarks (QPIAL), a newly proposed shape refinement method [1], is carried. Shape representation is a fundamental issue in the process of shape retrieval, a category of Content-Based Image Retrieval (CBIR). Many shape representations and shape refinement methods have been proposed. Fourier Des...

An application of Fourier descriptors and convex hull for shape analysis is presented. Convex hull is used for dividing a shape into small parts. Amplitude spectrum which is invariant to scaling, translation and choosing a starting point is obtained from the Fourier descriptors (see e.g [1-3]) and used for comparison. All calculations are performed with the author's software and some algorithms...

in this paper, we introduce the idea of generalized relative order (respectively generalized relative lower order) of entire functions of two complex variables. hence, we study some growth properties of entire functions of two complex variables on the basis of the definition of generalized relative order and generalized relative lower order of entire functions of two complex variables.

UNLABELLED In the Barber-Pole Illusion (BPI), a diagonally moving grating is perceived as moving vertically because of the narrow, vertical, rectangular shape of the aperture window through which it is viewed. This strong shape-motion interaction persists through a wide range of parametric variations in the shape of the window, the spatial and temporal frequencies of the moving grating, the con...

Frequency estimation of complex exponentials using the interpolated Fourier spectrum is analyzed. Data is categorized into two types: phase relationship between components – random/fixed phase difference; and availability of data – single-shot/continuous. When phase difference between exponentials is random the bias component, from interaction of secondary sidelobes, itself becomes random. This...

Abstract The conventional Fourier transform has a well-known uncertainty relation that is defined in terms of the first and second moments of both a function and its Fourier transform. It is also well known that Gaussian functions, when translated to an arbitrary centre and supplemented by a linear phase factor, provide a complete set of minimum uncertainty states (MUSs) that exactly satisfies ...

We characterize in terms of Fourier spectrum the boundary values of functions in the complex Hardy spaces H(C±), 1 ≤ p ≤ ∞. As an application we extend the Bedrosian identity, originally stated for square-integrable functions, to the Lp(R) cases.

and the inverse Fourier transform is f (x) = 1 2π ∫ ∞ −∞ F(ω)e dω Recall that i = √−1 and eiθ = cos θ+ i sin θ. Think of it as a transformation into a different set of basis functions. The Fourier transform uses complex exponentials (sinusoids) of various frequencies as its basis functions. (Other transforms, such as Z, Laplace, Cosine, Wavelet, and Hartley, use different basis functions). A Fo...