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The fast recursive computation of Tchebichef moment and its inverse transform based on Z-transform

Barmak Honarvar Shakibaei Asli, Raveendran Paramesran, Chern-Loon Lim
2013 Digital signal processing (Print)  
In this paper, we derive a simplified recurrence relationship to compute Tchebichef polynomials based on Z-transform properties.  ...  Experimental results show that both the proposed algorithms to compute TMs and inverse Tchebichef moments (ITMs) perform better than existing methods in term of computation speed.  ...  Acknowledgment This work was supported by the HIR-MOHE Grant No. UM.C/ HIR/MOHE/ENG/42.  ... 
doi:10.1016/j.dsp.2013.05.004 fatcat:kp2zx7tjezax5pcyo5gmjifsym

Fast Computation of Inverse Krawtchouk Moment Transform using Clenshaw's Recurrence Formula

P. Ananth Raj, A. Venkataramana
2007 2007 IEEE International Conference on Image Processing  
[11] proposed a recursive algorithm for computation of Tchebichef moment and its inverse transform using Clenshaw's formula.  ...  However, less work has been reported for the fast computation of inverse Krawtchouk moment transform.  ...  Method Multiplications Additions Straightforward method 4MmaxNmax+4Mmax+4Nmax 2MmaxNmax+2Mmax+Nmax-2 Proposed recursive method 2NmaxMmax+2Mmax+5Nmax+6 2NmaxMmax+2Mmax+4Nmax +4  ... 
doi:10.1109/icip.2007.4379948 dblp:conf/icip/RajV07 fatcat:xwffzf5mtjgqdnatjfmimtgiva

Tchebichef Transform Domain-based Deep Learning Architecture for Image Super-resolution [article]

Ahlad Kumar, Harsh Vardhan Singh
2021 arXiv   pre-print
It has been observed that using the Tchebichef transform domain for the task of SR takes the advantage of high and low-frequency representation of images that makes the task of super-resolution simplified  ...  The inversion of the aforementioned transformation is achieved using another layer known as the Inverse Tchebichef convolutional Layer (ITCL), which converts back the LR images from the transform domain  ...  Computation of Tchebichef Moments In this section, a brief review about the definition of Tchebichef moment [29] is discussed.  ... 
arXiv:2102.10640v2 fatcat:b3gqnutqzze4fpne7bkpqo7a5y

Low-Complexity Image and Video Coding Based on an Approximate Discrete Tchebichef Transform

Paulo A. M. Oliveira, Renato J. Cintra, Fabio M. Bayer, Sunera Kulasekera, Arjuna Madanayake
2017 IEEE transactions on circuits and systems for video technology (Print)  
The DTT transform kernel does not depend on the input data and fast algorithms can be developed to real time applications.  ...  The fast algorithm of the proposed transform is multiplication-free and requires a reduced number of additions and bit-shifting operations.  ...  Acknowledgment Arjuna Madanayake thanks the Xilinx University Program (XUP) for the Xilinx Virtex-6 Sx475 FPGA device installed in on the ROACH2 board.  ... 
doi:10.1109/tcsvt.2016.2515378 fatcat:ial2s7rahbewbkyq6vudlfnhb4

Image analysis using new set of separable two-dimensional discrete orthogonal moments based on Racah polynomials

Imad Batioua, Rachid Benouini, Khalid Zenkouar, Hakim El Fadili
2017 EURASIP Journal on Image and Video Processing  
Finally, a new set of RST (rotation, scaling, and translation) invariants, based on separable proposed moments, is introduced in this paper for the first time, and their description performances are highly  ...  We present a comparative study between our proposed separable two-dimensional discrete orthogonal moments and the classical ones, in terms of gray-level image reconstruction accuracy, including noisy and  ...  Acknowledgements The authors would like to thank the Laboratory of Intelligent Systems and Applications for his support to achieve this work.  ... 
doi:10.1186/s13640-017-0172-7 fatcat:c57du4u56jdr5md2p2gqtkpude

A Survey of Orthogonal Moments for Image Representation: Theory, Implementation, and Evaluation [article]

Shuren Qi, Yushu Zhang, Chao Wang, Jiantao Zhou, Xiaochun Cao
2021 arXiv   pre-print
Moment-based image representation has been reported to be effective in satisfying the core conditions of semantic description due to its beneficial mathematical properties, especially geometric invariance  ...  We also create a software package for a variety of widely-used orthogonal moments and evaluate such methods in a same base.  ...  It is well known that the inverse problems of image noise and blurring are usually more difficult to solve than the inverse problems of affine transformations.  ... 
arXiv:2103.14799v2 fatcat:4xa2sguwoffbleftkqggcl4cg4

Human Retina Based Identification System Using Gabor Filters and GDA Technique

Shahad Sultan, Mayada Faris Ghanim
2020 Journal of Communications Software and Systems  
Among all other biometrics, human retina is a secure and reliable source of person recognition as it is unique, universal, lies at the rare end of the eye and hence it is unforgeable.  ...  A biometric authentication system provides an automatic person authentication based on some characteristic features possessed by the individual.  ...  ACKNOWLEDGEMENT The authors are grateful to University of Mosul and Computer Engineering department for their support in carrying out this research.  ... 
doi:10.24138/jcomss.v16i3.1031 fatcat:awahpmvwvbh33nblpefldrrxba

Feature Extraction for image super-resolution using finite rate of innovation principles

Loic Baboulaz, Pier Luigi Dragotti
2008
In the first part, it is shown that the geometric moments of an observed scene can be retrieved exactly from sampled images and used as global features for registration.  ...  : moments and edges.  ...  and the discrepancy between the true and the discrete moments degrades the performance of any moment-based techniques. 4.3 As shown in [27] and [110] , it is possible to compute the exact moments  ... 
doi:10.25560/1351 fatcat:u6nitubqmfeudflfq3zqcuipcu

COLOR IMAGE RECONSTRUCTION FROM CHARLIER MOMENTS PRELIMINARY EVALUATION OF SCHEMES FOR PREDICTING USER SATISFACTION WITH THE ABILITY OF SYSTEM TO MEET STATED OBJECTIVES SIMULATION OF SIGNAL ORIENTED ALGORITHM WITH LOSSY DATA COMPRESSION MODEL-DRIVEN DEVELOPMENT IN IMPLEMENTING INTEGRATION FLOWS Color image reconstruction from Charlier moments

Xiaopeng Zhang, Simon Liao, Tomasz Górski, Nadiya Gubareni, Krawczyk, Białko, Stergiopoulos, Colin Stirling, Jan Węglarz, Michal Zábovský, Min Quan, Zhu (+10 others)
2015 United Kingdom Journal of Theoretical and Applied Computer Science   unpublished
In this research, we conducted a study on Charlier polynomials and discrete orthogonal Charlier moments.  ...  Our experimental results show that the color images can be precisely reconstructed in each of three primary color channels individually.  ...  The discrete orthogonal moments based on Tchebichef and Krawtchouk polynomials were first introduced by Mukundan et al. [8] and Yap et al. [9] in 2001 and 2003, respectively.  ... 
fatcat:edfy3k4adja3pbqqivbpi4ys2e

Signal processing algorithms for enhanced image fusion performance and assessment

Zaid Bin Omar, Tania Stathaki, Malaysia. Kementerian Pengajian Tinggi ; Universiti Teknologi Malaysia
2013
The properties of CP, namely fast convergence and smooth approximation, renders it ideal for heuristic and indiscriminate denoising fusion tasks.  ...  Another focus of this dissertation is on a novel metric for image fusion evaluation that is based on texture.  ...  The wavelet transform works on the same premise as the pyramid, where the subband coefficients of the corresponding frequency content are merged and the subsequent inverse transform generates a synthesised  ... 
doi:10.25560/10660 fatcat:b3r7mlooxvbkhc2v5ijepwfy6u