On Image Analysis by the Methods of Moments
IEEE Transactions on Pattern Analysis and Machine Intelligence
Invariant Image Recognition by Zernike Moments
IEEE Transactions on Pattern Analysis and Machine Intelligence
Pattern recognition with moment invariants: a comparative study and new results
Pattern Recognition
A survey of moment-based techniques for unoccluded object representation and recognition
CVGIP: Graphical Models and Image Processing
IEEE Transactions on Pattern Analysis and Machine Intelligence
An Efficient Method for the Computation of Legendre Moments
IEEE Transactions on Pattern Analysis and Machine Intelligence
Recursive computation of Tchebichef moment and its inverse transform
Pattern Recognition
Efficient Legendre moment computation for grey level images
Pattern Recognition
Image analysis by discrete orthogonal Racah moments
Signal Processing
Image analysis by discrete orthogonal dual Hahn moments
Pattern Recognition Letters
Image Analysis Using Hahn Moments
IEEE Transactions on Pattern Analysis and Machine Intelligence
Efficient and accurate computation of geometric moments on gray-scale images
Pattern Recognition
A unified methodology for the efficient computation of discrete orthogonal image moments
Information Sciences: an International Journal
Real-time computation of two-dimensional moments on binary images using image block representation
IEEE Transactions on Image Processing
Refined moment calculation using image block representation
IEEE Transactions on Image Processing
Image analysis by Tchebichef moments
IEEE Transactions on Image Processing
Image analysis by Krawtchouk moments
IEEE Transactions on Image Processing
Some computational aspects of discrete orthonormal moments
IEEE Transactions on Image Processing
Fast Computation of Chebyshev Moments
IEEE Transactions on Circuits and Systems for Video Technology
Fast Moment Generating Architectures
IEEE Transactions on Circuits and Systems for Video Technology
The fast recursive computation of Tchebichef moment and its inverse transform based on Z-transform
Digital Signal Processing
Hi-index | 0.01 |
Discrete orthogonal moments have been recently introduced in the field of image analysis. It was shown that they have better image representation capability than the continuous orthogonal moments. One problem concerning the use of moments as feature descriptors is the high computational cost, which may limit their application to the problems where the online computation is required. In this paper, we present a new approach for fast computation of the 2-D Tchebichef moments. By deriving some properties of Tchebichef polynomials, and using the image block representation for binary images and intensity slice representation for grayscale images, a fast algorithm is proposed for computing the moments of binary and grayscale images. The theoretical analysis shows that the computational complexity of the proposed method depends upon the number of blocks of the image, thus, it can speed up the computational efficiency as far as the number of blocks is smaller than the image size.