Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 3

B-spline Related Publications

3 Septic B-spline Collocation Method for Solving One-dimensional Hyperbolic Telegraph Equation

Authors: Alireza Nazemi, Marzieh Dosti

Abstract:

Recently, it is found that telegraph equation is more suitable than ordinary diffusion equation in modelling reaction diffusion for such branches of sciences. In this paper, a numerical solution for the one-dimensional hyperbolic telegraph equation by using the collocation method using the septic splines is proposed. The scheme works in a similar fashion as finite difference methods. Test problems are used to validate our scheme by calculate L2-norm and L∞-norm. The accuracy of the presented method is demonstrated by two test problems. The numerical results are found to be in good agreement with the exact solutions.

Keywords: collocation method, B-spline, second-order hyperbolic telegraph equation, difference schemes

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2 Extended Cubic B-spline Interpolation Method Applied to Linear Two-Point Boundary Value Problems

Authors: Ahmad Izani Md. Ismail, Ahmad Abd. Majid, Nur Nadiah Abd Hamid

Abstract:

Linear two-point boundary value problem of order two is solved using extended cubic B-spline interpolation method. There is one free parameters, λ, that control the tension of the solution curve. For some λ, this method produced better results than cubic B-spline interpolation method.

Keywords: B-spline, two-point boundary value problem, extendedcubic B-spline

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1 AGV Guidance System: An Application of Simple Active Contour for Visual Tracking

Authors: M.R.Arshad, P.A.Wilson, M.Asif

Abstract:

In this paper, a simple active contour based visual tracking algorithm is presented for outdoor AGV application which is currently under development at the USM robotic research group (URRG) lab. The presented algorithm is computationally low cost and able to track road boundaries in an image sequence and can easily be implemented on available low cost hardware. The proposed algorithm used an active shape modeling using the B-spline deformable template and recursive curve fitting method to track the current orientation of the road.

Keywords: B-spline, active contour, recursive curve fitting

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