نتایج جستجو برای: k transform

تعداد نتایج: 486244  

2001
J. Leon A. Spire

The inverse spectral transform for the Zakharov-Shabat equation on the semi-line x > 0 is reconsidered as a Hilbert problem. The boundary data induce an essential singularity as k → ∞ to one of the basic solutions. Then solving the inverse problem means solving a Hilbert problem with particular prescribed behavior. It is demonstrated that the direct and inverse problems are solved in a consiste...

2003
Douglas C. Noll Bradley P. Sutton

1. Introduction The data collected during an MRI experiment is the spatial frequency information of the proton density of the object being imaged. The data space is referred to as k-space and is related to the image of the object through a Fourier transform relationship. When a Cartesian trajectory is used to traverse k-space, data are acquired on equally spaced grid points in k-space and a fas...

2010
Po-Hung Wu

The integer transform (such as the Walsh transform, the Haar transform) is a discrete transform that all the entries in the transform matrix are integers. For software and hardware, the integer transform is much easier to be implemented because there is no real number multiplication, but performance is not guaranteed. By contrast, the non-integer transform (such as the DCT, the DFT) has higher ...

Journal: :Image Vision Comput. 1994
S. Shoari Alireza Kavianpour Nader Bagherzadeh

Detecting lines in images using pyramid architecture is the main subject of this paper. The approach is based on the parallel calculation of Hough Transform. A pyramid architecture of size n is a ne-grain architecture with a mesh base of size p n p n processors each holding a single pixel of the image. The pyramid operates in an SIMD mode. Two algorithms for computing the Hough Transform are ex...

2006
Soo-Chang Pei Jian-Jiun Ding

In this paper, we introduce an algorithm, which is named the triangular matrix scheme, to convert every reversible discrete linear transform into a reversible integer transform. The integer transform is a special case of the discrete linear transforms whose entries can be expressed as a summation of 2 k. It is much more efficient than the non-integer transform since it can be implemented by a f...

2006
Yongsheng Ding Yang Xu Da Ruan Yingjun Cao Paul P. Wang Howard G. Clark Alade Tokuta Hongbin Sun Kuangrong Hao Shihuang Shao Ying Zhu Hongfeng Wang Dingwei Wang Xiangfeng Zhang Lihong Ren Lingjuan Wang Chengjian Wei Shuai Huang Bao Liu Junhong Wang Jiajun Lai Yuhong Li Jie Lu Xiaowei Yang Guangquan Zhang Zui Zhang Chenggang Bai Chunmei Lin Yue He Hongchun Yuan Ying Chen Qinghai Chen Xiaohua Liu Chunyan Han Kaiqi Zou Xiaobei Liang Xinghua Liu Daoli Zhu Bingyong Tang Junxi Bi Tao Yu Qiang Li Xiaohong Liu Xianyi Zeng Ludovic Koehl

The Hankel transform of an integer sequence (an) is defined as a sequence formed by the determinants of the matrices An, where An is the upper-left submatrix of size n× n of the Hankel matrix A =  a0 a1 a2 a3 · · · a1 a2 a3 a4 · · · a2 a3 a4 a5 · · · .. .. .. .. . . .  . In this talk, methods in deriving the Hankel transform of Bell and other Bell-type numbers will be discussed, particu...

2015
MARTINS KOKAINIS SVETLANA ASMUSS

s of MMA2015, May 26–29, 2015, Sigulda, Latvia c © 2015 ON HIGHER DEGREE F-TRANSFORMS BASED ON B-SPLINES MARTINS KOKAINIS and SVETLANA ASMUSS 1 Department of Mathematics, University of Latvia Zeļļu iela 8, R̄ıga, LV-1002, Latvia 2 Institute of Mathematics and Computer Science, University of Latvia Raiņa bulvāris 29, R̄ıga, LV-1459, Latvia E-mail: [email protected], [email protected] The ...

2004
F. Astengo M. Cowling B. Di Blasio

Let G be a simple Lie group of real rank one, with Iwasawa decomposition KAN̄ and Bruhat big cell NMAN̄ . Then the space G/MAN̄ may be (almost) identified with N and with K/M , and these identifications induce the (generalised) Cayley transform C : N → K/M . We show that C is a conformal map of Carnot–Caratheodory manifolds, and that composition with the Cayley transform, combined with multiplicat...

2014
MICHAEL JOYCE SHU KAWAGUCHI JOSEPH H. SILVERMAN

The classical (m, k)-Landen transform Fm,k is a self-map of the field of rational functions C(z) obtained by forming a weighted average of a rational function over twists by m’th roots of unity. Identifying the set of rational maps of degree d with an affine open subset of P, we prove that Fm,0 induces a dominant rational self-map Rd,m,0 of P 2d+1 of algebraic degree m, and for 1 ≤ k < m, the t...

2017
GAUHAR RAHMAN KOTTAKKARAN SOOPPY NISAR SHAHID MUBEEN S. MUBEEN

The main objective of this paper is to introduce k-fractional derivative operator by using the definition of k-beta function. We establish some results related to the newly defined fractional operator such as Mellin transform and relations to khypergeometric and k-Appell’s functions. Also, we investigate the k-fractional derivative of k-Mittag-Leffler and Wright hypergeometric functions.

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