scholarly journals Spline Polynomial Truncated dalam Regresi Nonparametrik

2018 ◽  
Vol 14 (1) ◽  
pp. 54
Author(s):  
Anna Islamiyati
Keyword(s):  
Spline Polynomial

scholarly journals Recognition of atherosclerotic plaques and their extended dimensioning with computerized tomography angiography imaging

2014 ◽  
Vol 24 (1) ◽  
pp. 33-47 ◽  
Author(s):  
Tomasz Markiewicz ◽  
Mirosław Dziekiewicz ◽  
Marek Maruszyński ◽  
Romana Bogusławska-Walecka ◽  
Wojciech Kozłowski
Keyword(s):  
Computerized Tomography ◽  
Computational Time ◽  
Atherosclerotic Plaques ◽  
Least Squares Approximation ◽  
Image Transformation ◽  
Automatic Quantification ◽  
Plaque Area ◽  
Atherosclerotic Changes ◽  
Morphological Image ◽  
Spline Polynomial

Abstract In this paper the authors raise the issue of automatic discrimination of atherosclerotic plaques within an artery lumen based on numerical and statistical thresholding of Computerized Tomography Angiographic (CTA) images and their advanced dimensioning as a support for preoperative vessel assessment. For the study, a set of tomograms of the aorta, as well as the ilio-femoral and femoral arteries were examined. In each case a sequence of about 130-480 images of the artery cutoff planes were analyzed prior to their segmentation based on morphological image transformation. A crucial step in the staging of atherosclerotic alteration is recognition of the plaque in the CTA image. To solve this problem, statistical and linear fitting methods, including the least-squares approximation by polynomial and spline polynomial functions, as well as the error fitting function were used. Also, new descriptors of atherosclerotic changes, such as the lumen decrease factor, the circumference occupancy factor, and the convex plaque area factor, are proposed as a means of facilitating preoperative vessel examination. Finally, ways to reduce the computational time are discussed. The proposed methods can be very useful for automatic quantification of atherosclerotic changes visualized by CTA imaging.

Indirect estimates of flexural strain in concrete sidewalks induced by vertical movement

1999 ◽  
Vol 26 (3) ◽  
pp. 312-323
Author(s):  
B Rajani ◽  
C Zhan
Keyword(s):  
Fourier Series ◽  
Numerical Methods ◽  
Vertical Movement ◽  
Surface Elevation ◽  
Strain Gauges ◽  
Monthly Basis ◽  
Polynomial Fit ◽  
Fourier Series Method ◽  
Elevation Data ◽  
Spline Polynomial

This paper examines different numerical methods to estimate flexural strain from surface elevation measurements on concrete sidewalks. Surface elevations, along a typical concrete sidewalk cross section, were monitored on a monthly basis as part of a study to determine the cracking mechanism of concrete sidewalks. These measurements were carried out in Calgary, Edmonton, and Camrose, Alberta, between 1993 and mid-1995. Finite difference, cubic spline, polynomial fit, and Fourier series methods of analyses are described for an indirect estimation of flexural strains in sidewalks. The sensitivity of these methods to measurement error is discussed. The Fourier series method is found to be the best procedure to analyse sidewalk surface elevation data for flexural strains estimates. The numerical methods to indirectly determine strain are best suited for those circumstances where installation of strain gauges is difficult, expensive, or impossible.Key words: concrete sidewalks, indirect estimates of flexural strain.

scholarly journals The Convergence of Geometric Mesh Cubic Spline Finite Difference Scheme for Nonlinear Higher Order Two-Point Boundary Value Problems

2014 ◽  
Vol 2014 ◽  
pp. 1-12
Author(s):  
Navnit Jha ◽  
R. K. Mohanty ◽  
Vinod Chauhan
Keyword(s):  
Finite Difference ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Cubic Spline ◽  
Nonlinear Boundary Value Problems ◽  
Third Order ◽  
Geometric Mesh ◽  
Maximum Absolute Errors ◽  
Mean Square Errors ◽  
Spline Polynomial

An efficient algorithm for the numerical solution of higher (even) orders two-point nonlinear boundary value problems has been developed. The method is third order accurate and applicable to both singular and nonsingular cases. We have used cubic spline polynomial basis and geometric mesh finite difference technique for the generation of this new scheme. The irreducibility and monotone property of the iteration matrix have been established and the convergence analysis of the proposed method has been discussed. Some numerical experiments have been carried out to demonstrate the computational efficiency in terms of convergence order, maximum absolute errors, and root mean square errors. The numerical results justify the reliability and efficiency of the method in terms of both order and accuracy.

The Contact Problem Studied by Pseudocaustics Formed at the Vicinity of the Contact Zone

1984 ◽  
Vol 106 (3) ◽  
pp. 211-215 ◽  
Author(s):  
P. S. Theocaris ◽  
C. A. Stassinakis
Keyword(s):  
Contact Problem ◽  
Contact Zone ◽  
Contact Area ◽  
The Other ◽  
Tangential Stresses ◽  
Elastic Bodies ◽  
First Case ◽  
Reflected Light ◽  
Spline Polynomial ◽  
Distribution Of Stresses

The method of caustics is applied to formulate the normal and tangential stresses developed in the contact zone of two elastic bodies, and also for one elastic and the other plastic. The stresses are represented by a cubic spline polynomial, its coefficients calculated by pseudocaustics from reflected light around the contact zone. The method is applied to determine the stresses along the boundary of a half-plane and the stresses along the contact area of two disks. The deviation of calculated stresses from the applied ones, in the first case was small, while in the second case it was found that the normal distribution of stresses was similar to a Hertzian distribution. This experimental method can be used to accurately obtain contact stresses.

scholarly journals Quintic B-spline polynomial for Solving Bagely-Torvik Fractional Differential Problems

2020 ◽  
Vol 22 (2) ◽  
pp. 247-262
Author(s):  
Faraidun K. Hamasalh ◽  
◽  
Karzan Abdulrahman Hamzah ◽  
Keyword(s):  
B Spline ◽  
Fractional Differential ◽  
Spline Polynomial

scholarly journals New method for solving a class of fractional partial differential equations with applications

2018 ◽  
Vol 22 (Suppl. 1) ◽  
pp. 277-286 ◽  
Author(s):  
Hossein Jafari ◽  
Haleh Tajadodi
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Fractional Integration ◽  
Operational Matrix ◽  
Numerical Approach ◽  
Algebraic Equations ◽  
Fractional Partial Differential Equations ◽  
Partial Differential ◽  
Linear Algebraic Equations ◽  
Spline Polynomial

In this work we suggest a numerical approach based on the B-spline polynomial to obtain the solution of linear fractional partial differential equations. We find the operational matrix for fractional integration and then we convert the main problem into a system of linear algebraic equations by using this matrix. Examples are provided to show the simplicity of our method.

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