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Search Results: 1 - 10 of 3530 matches for " basis functions "
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Simulated Minimum Quadratic Distance Methods Using Grouped Data for Some Bivariate Continuous Models  [PDF]
Andrew Luong
Open Journal of Statistics (OJS) , 2018, DOI: 10.4236/ojs.2018.82024
Abstract: Quadratic distance methods based on a special distance which make use of survival functions are developed for inferences for bivariate continuous models using selected points on the nonnegative quadrant. A related version which can be viewed as a simulated version is also developed and appears to be suitable for bivariate distributions with no closed form expressions and numerically not tractable but it is easy to simulate from these distributions. The notion of an adaptive basis is introduced and the estimators can be viewed as quasilikelihood estimators using the projected score functions on an adaptive basis and they are closely related to minimum chi-square estimators with random cells which can also be viewed as quasilikeliood estimators using a projected score functions on a special adaptive basis but the elements of such a basis were linearly dependent. A rule for selecting points on the nonnegative quadrant which make use of quasi Monte Carlo (QMC) numbers and two sample quantiles of the two marginal distributions is proposed if complete data is available and like minimum chi-square methods; the quadratic distance methods also offer chi-square statistics which appear to be useful in practice for model testing.
Radial Basis Functions for Phase Unwrapping
Villa Hernández, Jesús;Rosa Vargas, Ismael de la;Rosa Miranda, Enrique de la;
Computación y Sistemas , 2010,
Abstract: an important step in fringe pattern analysis is the so called phase unwrapping. although this task can be performed easily using path dependent algorithms, most times, however, these algorithms are not robust enough specially in the presence of noise. on the other hand, path independent methods such as least-squares based or regularization based may be little convenient due to programming complexity or time consuming. in this paper we describe an alternative algorithm for phase unwrapping based in the determination of weights to linearly combine a set of radial basis functions (rbfs). as described, our algorithm is fast and can be easily implemented following a simple matrix formulation. numerical and real experiments with good results show that our method can be applied in many kinds of optical tests.
The Investigation and Study of Hydrogen Atom in Spherical Cavity Using B-Spline Basis Functions: A Mathematical Approach  [PDF]
Alireza Heidari, Foad Khademi Jahromi, Roozbeh Amiri, Mohammadali Ghorbani
Journal of Modern Physics (JMP) , 2012, DOI: 10.4236/jmp.2012.34045
Abstract: The importance of studying the confined quantum systems as one of the most basic subjects in nanoscience is undeniable. The hydrogen atom confined in the spherical cavity is considered as one of the most important systems. In this paper, the energy spectrum of the hydrogen atom confined in the center of impermeable spherical cavity is computed through the variational method, and B-splines are utilized as the basis functions. These basis functions are able to produce the test wave functions with appropriate boundary conditions. High flexibility and localizability are the most significant B-splines’ properties. Furthermore, these functions are numerically stable, and able to accurately perform a substantial number of calculations. The proportion of changes in energy levels to changes in cavity’s dimensions is investigated. Considering the obtained results suggests this method’s high accuracy and performance.
The Investigation and Study of Hydrogen Atom in Spherical Cavity Using B-Spline Basis Functions: A Mathematical Approach  [PDF]
Alireza Heidari, Foad Khademi Jahromi, Roozbeh Amiri, Mohammadali Ghorbani
Journal of Modern Physics (JMP) , 2012, DOI: 10.4236/jmp.2012.34045
Abstract: The following article has been retracted due to the investigation of complaints received against it. The Editorial Board found that substantial portions of the text came from other published papers. The scientific community takes a very strong view on this matter, and the Health treats all unethical behavior such as plagiarism seriously. This paper published in Vol.3 No. 4, 334-339, 2012, has been removed from this site.
Meshless Method of Lines for Numerical Solution of Kawahara Type Equations  [PDF]
Nagina Bibi, Syed Ikram Abbas Tirmizi, Sirajul Haq
Applied Mathematics (AM) , 2011, DOI: 10.4236/am.2011.25081
Abstract: In this work, an algorithm based on method of lines coupled with radial basis functions namely meshless method of lines (MMOL) is presented for the numerical solution of Kawahara, modified Kawahara and KdV Kawahara equations. The motion of a single solitary wave, interaction of two and three solitons and the phenomena of wave generation is discussed. The results are compared with the exact solution and with the results in the relevant literature to show the efficiency of the method.
A Hybrid Algorithm to Address Ambiguities in Deformable Image Registration for Radiation Therapy  [PDF]
Song Gao, Yongbin Zhang, Jinzhong Yang, Catherine H. Wang, Lifei Zhang, Laurence E. Court, Lei Dong
International Journal of Medical Physics,Clinical Engineering and Radiation Oncology (IJMPCERO) , 2012, DOI: 10.4236/ijmpcero.2012.12007
Abstract: We proposed the use of a hybrid deformable image registration approach that combines compact-support radial basis functions (CSRBF) spline registration with intensity-based image registration. The proposed method first uses the pre-viously developed image intensity-based method to achieve voxel-by-voxel correspondences over the entire image re-gion. Next, for those areas of inaccurate registration, a sparse set of landmark correspondences was defined for local deformable image registration using a multi-step CSRBF approach. This hybrid registration takes advantage of both intensity-based method for automatic processing of entire images and the CSRBF spline method for fine adjustment over specific regions. The goal of using this hybrid registration is to locally control the quality of registration results in specific regions of interest with minimal human intervention. The major applications of this approach in radiation ther-apy are for the corrections of registration failures caused by various imaging artifacts resulting in, low image contrast, and non-correspondence situations where an object may not be imaged in both target and source images. Both synthetic and real patient data have been used to evaluate this hybrid method. We used contours mapping to validate the accuracy of this method on real patient image. Our studies demonstrated that this hybrid method could improve overall registra-tion accuracy with moderate overhead. In addition, we have also shown that the multi-step CSRBF registration proved to be more effective in handling large deformations while maintaining the smoothness of the transformation than origi-nal CSRBF.
Mejoramiento de imágenes usando funciones de base radial
Echeverri Arias,Jaime Alberto; Manrique Losada,Bell; Moreno,Francisco Javier; Bravo,Alejandro;
Revista Ingenierías Universidad de Medellín , 2009,
Abstract: global support radial base functions are effective in eliminating impulsive noise in non-linear processing. this paper introduces an interpolation technique which efficiently reduces image impulsive noise by means of an interpolant obtained through radial base functions. these functions have been used in a research project designed to develop a system for the recovery of images of amazonian aquatic resources. this technique starts with the tagging by interpolation of noisy image pixels. thus, a value of reconstruction for the noisy pixels is generated using neighboring pixels. the results obtained with this technique have proved comparable and often better than those obtained with previously known techniques. according to results analysis, this technique can be successfully applied on images with high noise levels. the results are low error in noisy pixel reconstruction and better visual quality.
Exact bounds for some basis functions of approximation operators
Zeng Xiao-Ming,Zhao Jun-Ning
Journal of Inequalities and Applications , 2001,
Abstract: The exact bounds of Bernstein basic functions and Meyer-Konig and Zeller basis functions have been determined in [J. Math. Anal. Appl., 219 (1998), 364–376]. In this note the exact bounds of some other basis functions of approximation operators and corresponding probability distributions are determined.
RETRACTED: Navigation Strategy with the Aid of the Theater Positioning System  [PDF]
Xiao Ma, Seddik M. Djouadi, Paul Crilly, Stephen Smith
Intelligent Control and Automation (ICA) , 2013, DOI: 10.4236/ica.2013.42025
Abstract:

Short Retraction Notice

The paper does not meet the standards of \"Intelligent Control and Automation\".

This article has been retracted to straighten the academic record. In making this decision the Editorial Board follows COPE's Retraction Guidelines. The aim is to promote the circulation of scientific research by offering an ideal research publication platform with due consideration of internationally accepted standards on publication ethics. The Editorial Board would like to extend its sincere apologies for any inconvenience this retraction may have caused.

Editor guiding this retraction: Prof. Theodore B. Trafalis (EiC of ICA)

The full retraction notice in PDF is preceding the original paper, which is marked \"RETRACTED\".
A Local Meshless Method for Two Classes of Parabolic Inverse Problems  [PDF]
Wei Liu, Baiyu Wang
Journal of Applied Mathematics and Physics (JAMP) , 2018, DOI: 10.4236/jamp.2018.65083
Abstract: A local meshless method is applied to find the numerical solutions of two classes of inverse problems in parabolic equations. The problem is reconstructing the source term using a solution specified at some internal points; one class is that the source term is time dependent, and the other class is that the source term is time and space dependent. Some numerical experiments are presented and discussed.
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