A simple linear interpolating filter

1985 ◽  
Vol 59 (3) ◽  
pp. 369-374
Author(s):  
A. P. TRAGANITIS
Keyword(s):  
Linear Interpolating

REFINEMENT INDEPENDENT WAVELETS FOR USE IN ADAPTIVE MULTIRESOLUTION SCHEMES

2008 ◽  
Vol 06 (04) ◽  
pp. 521-539 ◽  
Author(s):  
MAARTEN JANSEN
Keyword(s):  
Wavelet Transforms ◽  
Point Sets ◽  
Orthogonal Wavelet ◽  
Multiscale Decomposition ◽  
Irregular Point ◽  
Multiresolution Schemes ◽  
Linear Interpolating

This paper constructs a class of semi-orthogonal and bi-orthogonal wavelet transforms on possibly irregular point sets with the property that the scaling coefficients are independent from the order of refinement. That means that scaling coefficients at a given scale can be constructed with the configuration at that scale only. This property is of particular interest when the refinement operation is data dependent, leading to adaptive multiresolution analyses. Moreover, the proposed class of wavelet transforms are constructed using a sequence of just two lifting steps, one of which contains a linear interpolating prediction operator. This operator easily allows extensions towards directional offsets from predictions, leading to an edge-adaptive nonlinear multiscale decomposition.

Combined Conductive and Radiative Heat Transfer in an Absorbing, Emitting, and Scattering Cylindrical Medium

1982 ◽  
Vol 104 (4) ◽  
pp. 594-601 ◽  
Author(s):  
R. Fernandes ◽  
J. Francis
Keyword(s):  
Finite Element ◽  
Exact Solutions ◽  
Radiative Heat ◽  
Temperature Fluctuations ◽  
Scattering Medium ◽  
Galerkin Finite Element Method ◽  
Galerkin Finite Element ◽  
Element Technique ◽  
Nicolson Scheme ◽  
Linear Interpolating

The purpose of this study was to formulate and solve the problem of transient combined conduction and radiation in a grey absorbing, emitting, and scattering medium of cylindrical geometry. The medium is bounded by grey diffuse surfaces at known temperatures. The problem was solved by the Galerkin finite element method using linear interpolating functions. The transient terms were handled using the Crank-Nicolson scheme with the time steps chosen to avoid temperature fluctuations at early times. The results were compared with exact solutions for the extreme cases, i.e., pure conduction and radiative equilibrium. Results are also compared with an approximate solution for the case of combined conduction and radiation. The effects of various parameters on the solutions are presented in tabular as well as graphical forms. The results obtained compare well with the exact solutions. The Galerkin finite element technique is well suited to this problem because of the ease with which integrals with variable limits can be handled.

Vibration Analysis of Simply Supported Beams Traversed by Uniformly Distributed Two-Layer Spring-Mass System

2014 ◽  
Vol 919-921 ◽  
pp. 1164-1168
Author(s):  
Yu Yang ◽  
Yan Wang ◽  
Yun Fang Yang
Keyword(s):  
Governing Equation ◽  
Vibration Analysis ◽  
Vertical Vibration ◽  
Dynamic Responses ◽  
Mass Ratio ◽  
Mass System ◽  
Simply Supported ◽  
Integral Methods ◽  
Linear Interpolating ◽  
Numerical Integral

Vertical vibration of identical simply supported bridges traversed by a train with uniformly distributed mass is investigated in this paper. The train with passengers onboard is simplified as a uniformly distributed two-layer spring-mass system as well as the bridges are simplified as consecutive simply supported Euler-Bernoulli beams. To analyze dynamic responses of the train and the bridges, the dynamic governing equation of the system is obtained and solved by a specific linear interpolating method and numerical integral methods. The result graphs indicate that dynamic responses of both beam and train carriage increase along with the mass ratio of bogie to car.

FLIN: Fuzzy linear interpolating network

1993 ◽  
Vol 277 (2) ◽  
pp. 189-197 ◽  
Author(s):  
Peter de B. Harrington ◽  
Brian W. Pack
Keyword(s):  
Linear Interpolating

Wall-Following of Mobile Robot Based on Fuzzy Genetic Algorithm to Linear Interpolating

2010 ◽  
Vol 2 (2) ◽  
pp. 201-211
Author(s):  
Ping Duan ◽  
Cheng-jun Ding ◽  
Guang-ming Yuan ◽  
Ming-lu Zhang
Keyword(s):  
Genetic Algorithm ◽  
Mobile Robot ◽  
Fuzzy Genetic Algorithm ◽  
Fuzzy Genetic ◽  
Linear Interpolating ◽  
Wall Following

Data-Conversion and Displaying for Numerical Simulation of EMCC with FEM-FVM-Joint Method

2011 ◽  
Vol 418-420 ◽  
pp. 563-566
Author(s):  
Hai Jun Gong ◽  
Xin Zhong Li ◽  
Xue Yi Fan ◽  
Da Ming Xu ◽  
Jing Jie Guo
Keyword(s):  
Numerical Simulation ◽  
Finite Element Method ◽  
General Purpose ◽  
Data Conversion ◽  
Post Processing ◽  
Format Conversion ◽  
Data Format ◽  
Volume Method ◽  
Linear Interpolating ◽  
Joint Method

Abstract. For efficiently performing the numerical simulation of electromagnetic continues casting (EMCC) with finite element method (FEM) and finite volume method (FVM) combined scheme, a program integrates with data-format conversion and post-processing was proposed. The conversion of data format realized by linear interpolating, and the post processor developed on a Visual Fortran 6.6A platform using Fortran-95 language and the QuickWin module. Both 2-D and 3-D EM-FEM data calculated by a general-purpose FEM software, ANSYS, could be converted into FVM-data format using this program, and all FVM-data whether scalar quantities or vector ones could be displayed in the manners of cabinet drawing and normal axonometric drawing, which promises the correctness for data format conversion process of FEM/FVM-joint and the convenient analysis of transport phenomena during EMCC numerical simulation. The results of transport simulations and data format conversions indicate that the format-conversion method as well as the post processing is effective and convenient in numerical simulation with FEM/FVM-joint under various EM fields.

Optimality of piecewise -linear interpolating operators

2013 ◽  
Vol 219 (12) ◽  
pp. 6445-6448 ◽  
Author(s):  
D. Cárdenas-Morales ◽  
P. Garrancho ◽  
I. Raşa
Keyword(s):  
Piecewise Linear ◽  
Linear Interpolating
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