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Please use this identifier to cite or link to this item: http://dspace.unimap.edu.my:80/xmlui/handle/123456789/2183

Title: On analysis of Invariant Characteristic for Moment Invariant Techniques
Authors: Shahrul Nizam Yaakob
Puteh Saad
Mohd Faizal Jamlos
Keywords: 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
Issue Date: 2006
Publisher: Kolej Universiti Kejuruteraan Utara Malaysia
Citation: Journal of Engineering Research and Education, vol. 3, 2006, pages 29-42.
Abstract: 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.
Description: Link to publisher's homepage at http://www.unimap.edu.my/
URI: http://hdl.handle.net/123456789/2183
http://www.unimap.edu.my/
ISSN: 1823-2981
Appears in Collections:Journal of Engineering Research and Education

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