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首页> 外文期刊>Pattern Recognition: The Journal of the Pattern Recognition Society >Two new algorithms for efficient computation of Legendre moments
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Two new algorithms for efficient computation of Legendre moments

机译:两种新算法可有效计算勒让德矩

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摘要

Orthogonal moments have been successfully used in the field of pattern recognition and image analysis. However, the direct computation of orthogonal moments is very expensive. In this paper, we present two new algorithms for fast computing the two-dimensional (2D) Legendre moments. The first algorithm consists of transforming the pixel-based calculation of Legendre moments into the line-segment-based calculation. After all line-segment moments have been calculated, Hatamian's filter method is extended to calculate the one-dimensional Legendre moments. The second algorithm is directly based on the double integral formulation. The 2D shape is considered as a continuous region and the contribution of the boundary points is used for fast calculation of shape moments. The numerical results show that the new algorithms can decrease the computational complexity tremendously, furthermore, they can be used to treat any complicated objects. (C) 2002 Pattern Recognition Society. Published by Elsevier Science Ltd. All rights reserved. [References: 14]
机译:正交矩已成功用于模式识别和图像分析领域。但是,正交矩的直接计算非常昂贵。在本文中,我们提出了两种用于快速计算二维(2D)勒让德矩的新算法。第一种算法包括将勒让德矩的基于像素的计算转换为基于线段的计算。计算完所有线段矩后,扩展了Hatamian的滤波方法以计算一维Legendre矩。第二种算法直接基于双积分公式。 2D形状被视为连续区域,边界点的贡献用于快速计算形状矩。数值结果表明,新算法可以极大地降低计算复杂度,并且可以用于处理任何复杂的对象。 (C)2002模式识别学会。由Elsevier Science Ltd.出版。保留所有权利。 [参考:14]

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