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New invariant moments for non-uniformly scaled images

Palaniappan, Ramaswamy, Raveendran, P., Omatu, S. (2000) New invariant moments for non-uniformly scaled images. Pattern Analysis and Applications, 3 (2). pp. 78-87. ISSN 1433-7541. (doi:10.1007/s100440070014) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication)
Official URL
http://dx.doi.org/10.1007/s100440070014

Abstract

The usual regular moment functions are only invariant to image translation, rotation and uniform scaling. These moment invariants are not invariant when an image is scaled non-uniformly in the x- and y-axes directions. This paper addresses this problem by presenting a new technique to obtain moments that are invariant to non-uniform scaling. However, this technique produces a set of features that arc only invariant to translation and uniform/non-uniform scaling. To obtain invariance to rotation, moments are calculated with respect to the x-y-axis of the image. To perform this, a neural network is used to estimate the angle of rotation from the x-y-axis and the image is unrotated to the x-y-axis. Consequently, we are able to obtain features that are invariant to translation, rotation and uniform/non-uniform scaling. The mathematical background behind the development and invariance of the new moments are presented. The results of experimental studies using English alphabets and Arabic numerals scaled uniformly/non-uniformly, rotated and translated are discussed to further verify the validity of the new moments.

Item Type: Article
DOI/Identification number: 10.1007/s100440070014
Additional information: Unmapped bibliographic data: LA - English [Field not mapped to EPrints] J2 - Pattern Anal. Appl. [Field not mapped to EPrints] AD - Department of Electrical Engineering, University of Malaya, Kuala Lumpur, Malaysia [Field not mapped to EPrints] AD - Dept. of Computer and System Science, University of Osaka Perfecture, Sakai, Osaka, Japan [Field not mapped to EPrints] AD - Department of Electrical Engineering, Faculty of Engineering, University of Malaya, Kuala Lumpur 50603, Malaysia [Field not mapped to EPrints] DB - Scopus [Field not mapped to EPrints] M3 - Article [Field not mapped to EPrints]
Uncontrolled keywords: Neural network, Non-uniform scaling, Principal axis, Regular moments, Rotation, Tilt angle
Divisions: Faculties > Sciences > School of Computing
Faculties > Sciences > School of Computing > Data Science
Depositing User: Palaniappan Ramaswamy
Date Deposited: 15 Dec 2018 18:34 UTC
Last Modified: 30 May 2019 08:30 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/70773 (The current URI for this page, for reference purposes)
Palaniappan, Ramaswamy: https://orcid.org/0000-0001-5296-8396
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