| 二值图像Legendre矩快速算法 |
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| 引用本文： | 朱斌,董剑,舒华忠,姜璐,罗立民.二值图像Legendre矩快速算法[J].东南大学学报(自然科学版),2003,33(1):90-93. |
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| 作者姓名： | 朱斌 董剑 舒华忠 姜璐 罗立民 |
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| 作者单位： | 东南大学生物科学与医学工程系,南京,210096 |
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| 摘 要： | 提出一种有效的计算二值图像Legendre矩的方法，首先使用Yang-离散格林公式将二值图像矩计算中区域内求和转换为沿区域边界求和；然后提取该图像的边界点，再利用Shu提出的公式计算出边界点的Legendre多项式的叠加值，经过这3步后，二维Legendre矩计算转化为一维Legendre矩计算，从而有效地减少计算复杂度，介绍了用Hatamian滤波器计算一维Legendre矩的方法，最后给出实验结果证明方法的可行性。
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| 关 键 词： | 二值图像 快速算法 Legendre矩 离散格林公式 轮廓跟踪 模式识别 图像处理 |
| 文章编号： | 1001-0505(2003)01-0090-04 |
Fast method for computing Legendre moments of binary images |
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| Zhu Bin,Dong Jian,Shu Huazhong,Jiang Lu,Luo Limin.Fast method for computing Legendre moments of binary images[J].Journal of Southeast University(Natural Science Edition),2003,33(1):90-93. |
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| Authors: | Zhu Bin Dong Jian Shu Huazhong Jiang Lu Luo Limin |
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| Abstract: | An efficient algorithm for fast computing the Legendre moments of binary images is presented. First, Yang's discrete Green's theorem is used to transform the pixel based calculation of Legendre moments into the contour based calculation. Then, the boundary points are extracted. By using Shu's theorems the sum of Legendre polynomial of the boundary points is calculated. By these three steps, the calculation of two dimensional Lengendre moments is transformed into that of one dimensional Legendre moments, and the complexity of calculation is efficiently reduced. The method of computing one dimensional Legendre moments by Hatamian filter is introduced. Experimental results show that this method is feasible. |
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| Keywords: | Legendre moments discrete Green's theorem contour tracking |
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