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Finite difference formulation of shape detection using Poisson's equation

Master of Science in Engineering Mathematics

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Bibliographic Details
Main Author: Siti Hajar, Azizan
Other Authors: Nursalasawati, Rusli, Dr.
Format: Dissertation
Language:English
Published: Universiti Malaysia Perlis (UniMAP) 2017
Subjects:
Poisson's equation
Poisson's equation > Numercial solutions
Differential equations, Elliptic
Online Access:http://dspace.unimap.edu.my:80/xmlui/handle/123456789/76681
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spelling my.unimap-766812022-11-02T01:49:40Z Finite difference formulation of shape detection using Poisson's equation Siti Hajar, Azizan Nursalasawati, Rusli, Dr. Poisson's equation Poisson's equation -- Numercial solutions Differential equations, Elliptic Master of Science in Engineering Mathematics Object can be detected or compared its similarity to other shapes, when shape detection is successfully described in computer vision. In this study, three geometry shapes are used in shape detection which are square, circle and ellipse. The two dimensional (2D) Poisson’s equation is used to detect these shapes because Poisson’s equation can be used for various types of shape detection. In order to approximate the Poisson’s equation, the discretization process is conducted using an implicit finite difference method. The Jacobi and Gauss-Seidel methods have been used to solve linear equation of 2D Poisson’s equation. The numerical algorithms are developed in MATLAB R2012b software. In the solution process, the Gauss-Seidel method used less number of iterations compared to Jacobi method to detect square, circle and ellipse. Numerical solutions for these methods are compared and the results obtained using these methods are found to be efficient and suitable to obtain the original shape. The simulation results of 2D Poisson’s equation have been successfully predicted for the shape detection. 2017 2022-11-02T01:49:40Z 2022-11-02T01:49:40Z Dissertation http://dspace.unimap.edu.my:80/xmlui/handle/123456789/76681 en Universiti Malaysia Perlis (UniMAP) Universiti Malaysia Perlis (UniMAP) Institute of Engineering Mathematics
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Poisson's equation
Poisson's equation -- Numercial solutions
Differential equations, Elliptic
spellingShingle Poisson's equation
Poisson's equation -- Numercial solutions
Differential equations, Elliptic
Siti Hajar, Azizan
Finite difference formulation of shape detection using Poisson's equation
description Master of Science in Engineering Mathematics
author2 Nursalasawati, Rusli, Dr.
author_facet Nursalasawati, Rusli, Dr.
Siti Hajar, Azizan
format Dissertation
author Siti Hajar, Azizan
author_sort Siti Hajar, Azizan
title Finite difference formulation of shape detection using Poisson's equation
title_short Finite difference formulation of shape detection using Poisson's equation
title_full Finite difference formulation of shape detection using Poisson's equation
title_fullStr Finite difference formulation of shape detection using Poisson's equation
title_full_unstemmed Finite difference formulation of shape detection using Poisson's equation
title_sort finite difference formulation of shape detection using poisson's equation
publisher Universiti Malaysia Perlis (UniMAP)
publishDate 2017
url http://dspace.unimap.edu.my:80/xmlui/handle/123456789/76681
_version_ 1751537957634834432
score 13.214268

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