层次树中集合划分级联熵编码方案的效果比较

Ali Iqbal, I. Touqir, Asim Ashfaque, Natasha Khan, Fahim Ashraf
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摘要

小波变换(WT)被认为是图像压缩的里程碑,因为它用在频域和时域都局部化的函数来表示信号。小波子带编码利用图像中像素的自相似性,将得到的系数分布在不同的子带中。一种更简单的全嵌入式编解码器算法SPIHT (Set Partitioning in Hierarchical Trees)被广泛用于小波变换图像的压缩。它根据转换系数相对于给定阈值的显著性对其进行编码。统计分析表明,SPIHT的输出比特流是由可以进一步压缩的长串零组成的,因此不提倡将SPIHT作为唯一的压缩均值。本文首先利用SPIHT技术对小波变换后的图像进行初步压缩,然后将SPIHT的输出码流送入熵编码器以获得更大的压缩;霍夫曼和算术编码器,进一步去相关。通过对比特保存能力、PSNR(峰值信噪比)、压缩比和运行时间等几个因素的评估,对两种连接方式进行了比较。这些级联的实验结果表明,与霍夫曼编码级联的SPIHT相比,算术编码结合的SPIHT具有更好的压缩比。然而,SPIHT一旦与霍夫曼编码结合被证明是相对有效的。
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Comparison of Effects of Entropy Coding Schemes Cascaded with Set Partitioning in Hierarchical Trees
WT (Wavelet Transform) is considered as landmark for image compression because it represents a signal in terms of functions which are localized both in frequency and time domain. Wavelet sub-band coding exploits the self-similarity of pixels in images and arranges resulting coefficients in different sub-bands. A much simpler and fully embedded codec algorithm SPIHT (Set Partitioning in Hierarchical Trees) is widely used for the compression of wavelet transformed images. It encodes the transformed coefficients depending upon their significance comparative to the given threshold. Statistical analysis reveals that the output bit-stream of SPIHT comprises of long trail of zeroes that can be further compressed, therefore SPIHT is not advocated to be used as sole mean of compression. In this paper, wavelet transformed images have been initially compressed by using SPIHT technique and to attain more compression, the output bit streams of SPIHT are then fed to entropy encoders; Huffman and Arithmetic encoders, for further de-correlation. The comparison of two concatenations has been carried out by evaluating few factors like Bit Saving Capability, PSNR (Peak Signal to Noise Ratio), Compression Ratio and Elapsed Time. The experimental results of these cascading demonstrate that SPIHT combined with Arithmetic coding yields better compression ratio as compared to SPIHT cascaded with Huffman coding. Whereas, SPIHT once combined with Huffman coding is proved to be comparatively efficient.
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