【摘要】：分?jǐn)?shù)階小波變換是小波變換時(shí)間-頻域的分析方法在時(shí)間-分?jǐn)?shù)階頻率域的推廣,在時(shí)間和分?jǐn)?shù)階頻率域具有表征信號特征的能力.本文在離散分?jǐn)?shù)階正交小波變換(DFRWT)多分辨率分析(MRA)理論基礎(chǔ)上,推導(dǎo)出DFRWT系數(shù)分解及重構(gòu)新形式并作二維擴(kuò)展.根據(jù)圖像DFRWT子帶系數(shù)能量隨不同階數(shù)p變化的特點(diǎn),提出基于DFRWT閾值降噪新方法.該方法在保持子帶低頻能量為絕對大值條件下,適當(dāng)提高子帶高頻能量值,更利于抑制圖像噪聲.實(shí)驗(yàn)結(jié)果表明,與傳統(tǒng)小波閾值降噪方法相比,該方法主觀質(zhì)量得到了明顯增強(qiáng),提高了峰值信噪比.
[Abstract]:Fractional wavelet transform (FWT) is an extension of time-frequency domain of wavelet transform in time-fractional frequency domain. It has the ability to represent signal characteristics in time and fractional frequency domain. Based on the (MRA) theory of (DFRWT) Multiresolution Analysis of discrete Fractional orthogonal Wavelet transform, a new form of DFRWT coefficient decomposition and reconstruction is derived and extended in two dimensions. According to the characteristic that the energy of image DFRWT subband coefficient varies with different order p, a new method based on DFRWT threshold is proposed. Under the condition that the sub-band low frequency energy is kept as the absolute maximum, it is more advantageous to suppress the image noise by properly increasing the sub-band high frequency energy value. The experimental results show that compared with the traditional wavelet threshold denoising method, the subjective quality of the method is obviously enhanced and the peak signal-to-noise ratio (PSNR) is improved.
【作者單位】： 南京航空航天大學(xué)自動(dòng)化學(xué)院;淮南師范學(xué)院電氣信息工程學(xué)院;
【基金】：國家自然科學(xué)基金(No.60871009) 安徽省高校自然科學(xué)基金(No.KJ2011Z343)
【分類號】：TN911.72

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本文編號：2372303