基于二維不可分小波變換的矩不變量

劉斌; 高強(qiáng)

doi:10.11999/JEIT151218

基于二維不可分小波變換的矩不變量

doi: 10.11999/JEIT151218

劉斌¹,
高強(qiáng)¹

基金項(xiàng)目:

國(guó)家自然科學(xué)基金(61471160)，湖北省自然科學(xué)基金(2012FFA053)

計(jì)量
- 文章訪問數(shù): 1219
- HTML全文瀏覽量: 106
- PDF下載量: 394
- 被引次數(shù): 0
出版歷程
- 收稿日期: 2015-11-03
- 修回日期: 2016-05-03
- 刊出日期: 2016-08-19

Moment Invariants Based on Two Dimensional Non-separable Wavelet Transform

LIU Bin¹,
GAO Qiang¹

Funds:

The National Natural Science Foundation of China (61471160), The Key Project of the Natural Science of Hubei Province (2012FFA053)

摘要

摘要: 尋找相對(duì)于尺度、平移、旋轉(zhuǎn)不變的小波不變量是多尺度分析在模式識(shí)別中應(yīng)用的關(guān)鍵性問題。該文利用基于統(tǒng)計(jì)的不變矩這一理論和應(yīng)用上都比較成熟的方法，將圖像有限個(gè)尺度的小波近似系數(shù)和圖像不變矩聯(lián)系起來，從而給出了一種小波矩不變量，得到了比較完善的理論和實(shí)驗(yàn)結(jié)果。同時(shí)指出了該理論方法在實(shí)際應(yīng)用中所需注意的地方，最后簡(jiǎn)要闡述了多尺度分析與不變矩的應(yīng)用關(guān)系。
- 模式識(shí)別 /
- 多尺度分析 /
- 2維不可分小波 /
- 不變矩 /
- 平滑性 /
- 近似系數(shù)
Abstract: Searching for wavelet invariants is a key issue in multiresolution analysis. On the other hand,the method of moment invariants is fully developed both in the theory and the practice. A kind of wavelet moment invariants are given based on the image invariant moments and wavelet appr-oximation coefficients from the limited number of scales of the image. A fairy complete result on theory and experiment is obtained. At the same time, some problems of the theory and method are pointed out in the practical application.Finally, the application relationship between multi-scale analysis and invariant moment is briefly described.
- Pattern recognition /
- Multi-scale analysis /
- Two dimensional non-separable wavelet /
- Invariant moment /
- Smoothness /
- Approximation coefficients

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