Echocardiography images analysis by using Laguerre Gauss Transform

2020 ◽  
Author(s):  
Astrid L Villamizar Amado ◽  
Silvana Gallo ◽  
Nelly Cap ◽  
Héctor Rabal ◽  
Myrian Tebaldi
Keyword(s):  
Gauss Transform

The Fast Gauss Transform

1989 ◽  
Author(s):  
L. Greengard ◽  
J. Strain
Keyword(s):  
Gauss Transform ◽  
Fast Gauss Transform

scholarly journals Proximity Effect Aware Detailed Placement in Electron Beam Lithography

2018 ◽  
Vol 232 ◽  
pp. 04046
Author(s):  
Yuhang Chen ◽  
Zhipeng Huang ◽  
Xiongfeng Chen ◽  
Jianli Chen ◽  
Wenxing Zhu
Keyword(s):  
Electron Beam ◽  
Objective Function ◽  
Proximity Effect ◽  
Electron Beam Lithography ◽  
State Of The Art ◽  
Experimental Result ◽  
Accurate Evaluation ◽  
Evaluation Scheme ◽  
Gauss Transform ◽  
Detailed Placement

Proximity effect is one of the most tremendous consequences that produces unacceptable exposures during electron beam lithography (EBL), and thus distorting the layout pattern. In this paper, we propose the first work which considers the proximity effect during layout stage. We first give an accurate evaluation scheme to estimate the proximity effect by fast Gauss transform. Then, we devote a proximity effect aware detailed placement objective function to simultaneously consider wirelength, density and proximity effect. Furthermore, cell swapping and cell matching based methods are used to optimize the objective function such that there is no overlap among cells. Compared with a state-of-the-art work, experimental result shows that our algorithm can efficiently reduce the proximity variations and maintain high wirelength quality at a reasonable runtime.

A sharp error estimate for the fast Gauss transform

2006 ◽  
Vol 219 (1) ◽  
pp. 7-12 ◽  
Author(s):  
Xiaoliang Wan ◽  
George Em Karniadakis
Keyword(s):  
Error Estimate ◽  
Gauss Transform ◽  
Fast Gauss Transform ◽  
Sharp Error

scholarly journals Optical vortex metrology based on the core structures of phase singularities in Laguerre-Gauss transform of a speckle pattern

2006 ◽  
Vol 14 (22) ◽  
pp. 10195 ◽  
Author(s):  
Wei Wang ◽  
Tomoaki Yokozeki ◽  
Reika Ishijima ◽  
Mitsuo Takeda ◽  
Steen G. Hanson
Keyword(s):  
Speckle Pattern ◽  
Optical Vortex ◽  
The Core ◽  
Phase Singularities ◽  
Gauss Transform

An Inversion Formula for the Weierstrass Transform

1961 ◽  
Vol 13 ◽  
pp. 593-601 ◽  
Author(s):  
G. G. Bilodeau
Keyword(s):  
Inversion Formula ◽  
Basic Properties ◽  
Weierstrass Transform ◽  
Gauss Transform ◽  
Image Position

The Weierstrass transform f(x) of a function ϕ(y) is defined by1.1wherewhenever this integral exists (7, p. 174). It is also known as the Gauss transform (11; 12). Its basic properties have been developed and studied in (7) and in particular it has been shown that the symbolic operatorwill invert this transform under suitable assumptions and with certain definitions of this operator. We propose to study the definitionfor f(x) in C∞. This formula seems to have been first examined by Pollard (9) and later by Rooney (12). In so far as convergence of (1.2) is concerned, we will considerably improve the results (12).

Fast Approximation of the Discrete Gauss Transform in Higher Dimensions

2012 ◽  
Vol 55 (1) ◽  
pp. 149-172 ◽  
Author(s):  
Michael Griebel ◽  
Daniel Wissel
Keyword(s):  
Higher Dimensions ◽  
Gauss Transform
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