In this paper, we develop parallel algorithms for the three-dimensional Euclidean distance transform (3D EDT) on both the CRCW and EREW PRAM computation models. Based on the dimensionality reduction technique and the solution for proximate points problem, we achieve the optimality of the 3D EDT computation. For an N × N × N binary image array, our parallel algorithms for 3D EDT computation are ...

L-band electromagnetic scattering from two-dimensional random rough sea surfaces are calculated by first- and second-order Small-Slope Approximation (SSA1, 2) methods. Both analytical and numerical computations are utilized to calculate incoherent normalized radar cross-section (NRCS) in mono- and bi-static cases. For evaluating inverse Fourier transform, inverse fast Fourier transform (IFFT) i...

This paper presents a new method for computing the Feature-adapted Beamlet transforms [1] in a fast and accurate way. This transform can be used for detecting features running along lines or piecewise constant curves. The main contribution of this paper is to unify the Fast Slant Stack method, introduced in [2], with linear filtering technique in order to implement the Feature-adapted Beamlet t...

Combined use of the X-ray (Radon) transform and the wavelet transform has proved to be useful in application areas such as diagnostic medicine and seismology. In the present paper, the wavelet X-ray transform is introduced. This transform performs one-dimensional wavelet transforms along lines in R n , which are param-eterized in the same fashion as for the X-ray transform. It is shown that the...

To any sequence of real numbers 〈an〉n 0, we can associate another sequence 〈âs〉s 0, which Knuth calls its binomial transform. This transform is defined through the rule

Let f : M → G(m, n) be a harmonic map from surface into complex Grassmann manifold. In this paper, some sufficient conditions for the harmonic sequence generated by f to have degenerate ∂-transform or ∂-transform are given.

The purpose of this paper is to present an algorithm for evaluating Han-kel transform of the null and the first kind. The result is the exact analytical representation as the series of the Bessel and Struve functions multiplied by the wavelet coefficients of the input function. Numerical evaluation of the test function with known analytical Hankel transform illustrates the proposed algorithm. T...

In shape reconstruction, the celebrated Fourier slice theorem plays an essential role. By virtue of the relation between the Radon transform, the Fourier transform and the 2-dimensional inverse Fourier transform, the shape of an object can be reconstructed from the knowledge of the object’s Radon transform. Unfortunately, a discrete implementation requires the use of interpolation techniques, s...

In this paper we discuss the application of wavelet transform domain processing in smart antenna arrays, specifically, in the design of a wideband generalized sidelobe canceller (GSC) beamformer. The wavelet transform domain least mean squares (LMS) processing is shown to have the effect of decreasing the spreading in the eigenvalues of the correlation matrix of the output data. This results in...

In this paper, we will illustrate the F-transform based on generalized fuzzy partitions as a tool for expectile smoothing. This allows to represent a time series in terms of a fuzzy-valued function whose level-cuts are modeled by F-transform and estimated by expectile regression. The proposed methodology is illustrated on real economic and …nancial time series. Keywords: Fuzzy Transform, Expect...