On analysis of Invariant Characteristic for Moment Invariant Techniques
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Kolej Universiti Kejuruteraan Utara Malaysia
2008
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my.unimap-21832008-10-18T03:43:27Z On analysis of Invariant Characteristic for Moment Invariant Techniques Shahrul Nizam Yaakob Puteh Saad Mohd Faizal Jamlos Geometric Moment Invariant (GMI) Zernike Moment Invariat (ZMI) Legendre Moment Invariant (LMI) Krawtchouk Moment Invariant (KMI) Invariant Error Computation (IEC) Invariants Engineering mathematics Calculus of variations Linear algebraic groups Link to publisher's homepage at http://www.unimap.edu.my/ In this paper a set of equation known as Invariant Error Computation (IEC) is introduced that is used to examine directly invariant performance properties of moment invariant techniques. The technique consists of a set of equations known as Total Percentage Min Absolute Error (TPMAE), Percentage Min Absolute Error 1 (PMAE1), Percentage Min Absolute Error 2 (PMAE2) and Percentage Absolute Error (PAE). These equations are utilized to measure the similarity between different feature vectors produced by the moment techniques studied. In order to evaluate the effectiveness of the IEC, we examine the invariant properties of three moment techniques; namely; Zernike Moment Invariat (ZMI), Legendre Moment Invariant (LMI), Krawtchouk Moment Invariant (KMI). It is found that Krawtchouk Moment Invariant (KMI) generated the lowest error value for the IEC when compared to ZMI and LMI. For instance PMAE1 for KMI is the lowest with 0.1%-0.5% of error while LMI 8%-25% and ZMI 8%-38% consecutively. Similarity with PMAE2 results, KMI error is between 0.001%-0.9% while for LMI and ZMI is 0.5%-40% and 0.3%-44%. We demonstrate the effectiveness of IEC in examining the invariant properties of the moment techniques. 2008-09-12T04:35:54Z 2008-09-12T04:35:54Z 2006 Article Journal of Engineering Research and Education, vol. 3, 2006, pages 29-42. 1823-2981 http://hdl.handle.net/123456789/2183 http://www.unimap.edu.my/ en Kolej Universiti Kejuruteraan Utara Malaysia |
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| language |
English |
| topic |
Geometric Moment Invariant (GMI) Zernike Moment Invariat (ZMI) Legendre Moment Invariant (LMI) Krawtchouk Moment Invariant (KMI) Invariant Error Computation (IEC) Invariants Engineering mathematics Calculus of variations Linear algebraic groups |
| spellingShingle |
Geometric Moment Invariant (GMI) Zernike Moment Invariat (ZMI) Legendre Moment Invariant (LMI) Krawtchouk Moment Invariant (KMI) Invariant Error Computation (IEC) Invariants Engineering mathematics Calculus of variations Linear algebraic groups Shahrul Nizam Yaakob Puteh Saad Mohd Faizal Jamlos On analysis of Invariant Characteristic for Moment Invariant Techniques |
| description |
Link to publisher's homepage at http://www.unimap.edu.my/ |
| format |
Article |
| author |
Shahrul Nizam Yaakob Puteh Saad Mohd Faizal Jamlos |
| author_facet |
Shahrul Nizam Yaakob Puteh Saad Mohd Faizal Jamlos |
| author_sort |
Shahrul Nizam Yaakob |
| title |
On analysis of Invariant Characteristic for Moment Invariant Techniques |
| title_short |
On analysis of Invariant Characteristic for Moment Invariant Techniques |
| title_full |
On analysis of Invariant Characteristic for Moment Invariant Techniques |
| title_fullStr |
On analysis of Invariant Characteristic for Moment Invariant Techniques |
| title_full_unstemmed |
On analysis of Invariant Characteristic for Moment Invariant Techniques |
| title_sort |
on analysis of invariant characteristic for moment invariant techniques |
| publisher |
Kolej Universiti Kejuruteraan Utara Malaysia |
| publishDate |
2008 |
| url |
http://dspace.unimap.edu.my/xmlui/handle/123456789/2183 |
| _version_ |
1643787564484657152 |
| score |
13.214268 |