[1]黄永.Bandelet变换及其逼近特性分析[J].华侨大学学报(自然科学版),2016,37(1):62-66.[doi:10.11830/ISSN.1000-5013.2016.01.0062]
 HUANG Yong.Bandelet Transform and Analysis of Its Approximation Characteristics[J].Journal of Huaqiao University(Natural Science),2016,37(1):62-66.[doi:10.11830/ISSN.1000-5013.2016.01.0062]
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Bandelet变换及其逼近特性分析()
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《华侨大学学报(自然科学版)》[ISSN:1000-5013/CN:35-1079/N]

卷:
第37卷
期数:
2016年第1期
页码:
62-66
栏目:
出版日期:
2016-01-03

文章信息/Info

Title:
Bandelet Transform and Analysis of Its Approximation Characteristics
文章编号:
1000-5013(2016)01-0062-05
作者:
黄永
昭通学院 数学与统计学院, 云南 昭通 657000
Author(s):
HUANG Yong
College of Mathematics and Statistics, Zhaotong University, Zhaotong 657000, China
关键词:
Bandelet变换 基函数 逼近特性 估计边缘
Keywords:
Bandelet transform basis function approximation property estimated edge
分类号:
TN919.81
DOI:
10.11830/ISSN.1000-5013.2016.01.0062
文献标志码:
A
摘要:
首先,从几何流和地平线模型出发,分析流积分及其扫描带内的边缘表达;其次,抑制离散二元小波基函数的不足,构建Bandelet变换的标准正交基;最后,对Bandelet变换在扫描带内的逼近特性进行分析,构建估计边缘和真实边缘的逼近误差计算公式.结果表明:文中方法在图像边缘表达上可以得到最优框架.
Abstract:
Firstly, the flow integral and the edge expression in the scanning band are analyzed from the geometric flow and the horizon model. Secondly, the standard orthogonal basis of Bandelet transform is built by considering the problem of the suppression for the discrete wavelet basis functions. Finally, we analyze the approximation property of the Bandelet transform in the scanning band, and construct the approximate error formula for the estimating edge and the real edge. Results show that the optimal frame can be obtained by the image edge expression.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期: 2015-11-13
通信作者: 黄永(1966-),女,副教授,主要从事Bandelet变换逼近特性的研究.E-mail:3281578930@qq.com.
基金项目: 云南省教育厅科学研究基金资助项目(2014Y499)
更新日期/Last Update: 2016-01-20