Image representation using accurate orthogonal Gegenbauer moments
Image representation using accurate orthogonal Gegenbauer moments
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DOI：
10.1016/j.patrec.2011.01.006
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发表时间：
2011-04-15
影响因子：
5.1
通讯作者：
Hosny, Khalid M.
中科院分区：
文献类型：
--
作者：
Hosny, Khalid M.
利用多项式矩表示图像是一个有趣的课题。本文提出用正交Gegenbauer函数表示图象。提出了一种精确快速计算正交Gegenbauer矩的新方法。Gegenbauer矩的精确值是通过在数字图像像素上对Gegenbauer多项式乘以其权函数进行数学积分来获得的。一个新的递推公式推导出的核生成。该方法消除了传统方法中的数值逼近误差。提出了一种快速算法来加速矩的计算。并与传统方法进行了比较。所得结果说明了该方法的有效性和优越性。(C)2011 Elsevier B.V.保留所有权利。
Image representation by using polynomial moments is an interesting theme. In this paper, image representation by using orthogonal Gegenbauer function is presented. A novel method for accurate and fast computation of orthogonal Gegenbauer moments is proposed. The accurate values of Gegenbauer moments are obtained by mathematically integrating Gegenbauer polynomials multiplied by their weight functions over the digital image pixels. A novel recurrence formula is derived for the kernel generation. The proposed method removes the numerical approximation errors involved in conventional method. A fast algorithm is proposed to accelerate the moment's computations. A comparison with the conventional method is performed. The obtained results explain the efficiency and the superiority of the proposed method. (C) 2011 Elsevier B.V. All rights reserved.