New Invariant Moments for Non-Uniformly Scaled Images

Palaniappan, Ramaswamy and Paramesran, Raveendran and Omatu, Sigeru (2000) New Invariant Moments for Non-Uniformly Scaled Images. Pattern Analysis & Applications, 3 (2). pp. 78-87. ISSN 1433-7541

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Official URL: https://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
Uncontrolled Keywords: Neural network; Non-uniform scaling; Principal axis; Regular moments; Rotation; Tilt angle
Subjects: T Technology > TK Electrical engineering. Electronics Nuclear engineering
Divisions: Faculty of Engineering
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 20 Oct 2021 07:50
Last Modified: 20 Oct 2021 07:50
URI: http://eprints.um.edu.my/id/eprint/26058

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