The aim of this report is threefold: First we generalize to 3D a long ago known fast algorithm for the computation of ordinary geometrical moments of 2D elds starting from what could be named cumulative moments. This is done by rst reformulating the 2D algorithm in terms of matrix operations and subsequently extending the result straightforwardly to 3D. Second, guided by the results of much res...

The Zernike moment algorithm and R-Tree algorithm are known as state of the art in the recognition of images and in the multimedia database respectively. The methods of storing the images and retrieving the similar images based on a query image automatically are the problems in the image database. This paper proposes the method to combine the Zernike moments algorithm and the R–tree algorithm i...

This paper proposes a content-based color trademark retrieval system. First, the edges of each color trademark are detected. Then, the smallest circle that covers the trademark is derived. Based on the smallest circle and edges, the feature called hit statistic on a dartboard of the color trademark is extracted. Using this feature, this paper constructs an efficient and simple color trademark r...

The classification of a desired 3D object using Hu-moment invariants is based on identifying from six reference libraries an object having the minimum distance to desired object. To decrease classification error, this paper describes a modified approach to identify a 3D object based on a hybrid of Hu and Zernike moment invariants as a feature vector. Zernike moment invariants are used to find t...

Shape (object) description consists a key part of image content description in MPEG-7. In the development of MPEG-7, Zernike moment descriptor (ZMD) has been adopted as region-based shape descriptor. However, because Zernike moments are defined in a unit disk and extracted from shape in polar space, less shape information is used for skewed and stretched shapes. As a result, the extracted ZMD i...

Classification and object recognition is one of the most important tasks in image processing. Most applications deal with the classification of definite shapes, for example identifying a particular type aircraft. In these applications, compact visual descriptors are necessary to describe image content. Fourier descriptors are widely used in image processing to describe and classify object. Seve...

This paper presents a novel approach to the fast computation of Zernike moments from a digital image. Most existing fast methods for computing Zernike moments have focused on the reduction of the computational complexity of the Zernike 1-D radial polynomials by introducing their recurrence relations. Instead, in our proposed method, we focus on the reduction of the complexity of the computation...

This paper is based on the development of fuzzy Logic based edge detection techniques in digital images. The proposed technique used Sobel operator, Zernike moment operator, and Fuzzy inference system in combination for edge detection purpose. Edge is a boundary between two homogeneous regions. Edge detection refers to the process of identifying and locating sharp discontinuities in an image. I...

Validation of computational solid mechanics simulations requires full-field comparison methodologies between numerical and experimental results. The continuous Zernike and Chebyshev moment descriptors are applied to decompose data obtained from numerical simulations and experimental measurements, in order to reduce the high amount of ‘raw’ data to a fairly modest number of features and facilita...

A new method is proposed for fast and accurate computation of Zernike moments. This method presents a novel formula for computing exact Zernike moments by using exact complex moments where the exact values of complex moments are computed by mathematical integration of the monomials over digital image pixels. The proposed method is applicable to compute the full set of Zernike moments as well as...