Per temporal frequency component, the (least squares) Parabo-lic Radon Transform (PRT) is equivalent to the (least squares) Nonuniform Discrete Fourier Transform (NDFT). This can be used in two ways. Firstly, the efficiency of the PRT can be improved by using very fast algorithms for the calculation of the direct nonuniform Fourier transform. Secondly, comparing the PRT to the NDFT provides use...

We consider the problem of stably computing the Walsh-Hadamard Transform (WHT) of some N -length input vector in the presence of noise, where the N -point Walsh spectrum is K-sparse with K = O(N) scaling sub-linearly in the input dimension N for some 0 < δ < 1. Note that K is linear in N (i.e. δ = 1), then similar to the standard Fast Fourier Transform (FFT) algorithm, the classic Fast WHT (FWH...

ly, a watermarking scheme is the six-tuple (X, W, K, G, E, D) where [13] 1. X represents the set of original or host images. 2. W is the set of all watermarks w such that ∃x ∈ X, k ∈ K, w = G(x, k). 3. K is the set of numbers called watermark keys. 4. G is the algorithm that generates W using K and X: G: X × K → W, w = G(x, k) 5. E denotes the encoding algorithm that embeds a watermark w in an ...

introduction the diagnosis and separation of cancerous tumors in medical images require accuracy, experience, and time, and it has always posed itself as a major challenge to the radiologists and physicians. materials and methods we received 290 medical images composed of 120 mammographic images, ljpeg format, scanned in gray-scale with 50 microns size, 110 mri images including of t1-wighted, t...

Let T be an adjointable operator on a Hilbert $$C^*$$ -module such that has the polar decomposition $$T=U\vert T\vert $$ . For each natural number n, is called $$(n+1)$$ -centered if $$T^k=U^k\vert T^k\vert for $$1\le k\le n+1$$ This paper initiates study of via generalized Aluthge transform and iterative transform. Some new characterizations are provided.

Background: Breast cancer is currently one of the leading causes of death among women worldwide. The diagnosis and separation of cancerous tumors in mammographic imagesrequire accuracy, experience and time, and it has always posed itself as a major challenge to the radiologists and physicians. Objective: This paper proposes a new algorithm which draws on discrete wavelet transform and adaptive ...

Let X be the matrix unit ball in Mn−k,k(K) consisting of contractive matrices where K = R, C, H. The domain X is a realization of the symmetric space G/K with G = U(n− k, k; K). The matrix ball yo of lower dimension in Mk′−k,k with k ′ ≤ n is a totally geodesic submanifold of X and let Y be the manifold of all G-translations of the submanifold y0. We consider the Radon transform from functions ...

Let sk (k = 1, . . . , K) denote the locations of theK = 17 temperature series. At each location k we observe M(sk) temperature values z(sk) = (z1(sk), . . . , zM(sk)(sk)) T drawn from the M(sk)-variate random vector (RV) Z(s). Suppose at location k that these observations correspond to times Tt(sk), for t = 1, . . . ,M(sk). Since all sampling in the MCMC algorithm is performed on the wavelet d...

We study a new Radon-like transform that averages projected pforms in Rn over affine (n − k)-spaces. We then prove an explicit inversion formula for our transform on the space of rapidly-decaying smooth p-forms. Our transform differs from the one in the work by Gelfand, Graev and Shapiro (1969). Moreover, if it can be extended to a somewhat larger space of p-forms, our inversion formula will al...