整型DCT变换在三维地震图像无损压缩中的研究与应用
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摘要
这里主要研究并实现了一种基于整型DCT(discretecosinetransform)对图像进行无失真编码的方法。其主要原理为:先在整型FFT(fastFouriert ransforu)基础上构造可逆的DCT整型变换,经变换后的数据再用SPIHT(setpartitiioning in Hierarchical Trees)算法处理,最后进行算术编码。首先在图像变换和无失真编码等相关图像处理知识的基础上,结合前人的研究经验,对设计进行了理论推导和论证,并将其归纳为数学模型,总结出适用算法,并编程实现,结果证明该方法具有良好的压缩性能。
In this paper, the authors have researched and realized a kind of scheme about image lossless coding based on integer DCT and its main ideas are as the following: firstly, design reversible integer DCT based on integer FFT; and then dealt with the DCT data by SPIHT; finally, encoded the data by Arithmetic Coding. In this paper, the authors deduct and prove its theory based on the works of other researchers and the basic knowledge of digital image processing. Then the its mathematical model is established and suitable algorithms are achieved. The calculation shows that this lossless coding system based on integer DCT is of higher compression performance.
In this paper, the authors have researched and realized a kind of scheme about image lossless coding based on integer DCT and its main ideas are as the following: firstly, design reversible integer DCT based on integer FFT; and then dealt with the DCT data by SPIHT; finally, encoded the data by Arithmetic Coding. In this paper, the authors deduct and prove its theory based on the works of other researchers and the basic knowledge of digital image processing. Then the its mathematical model is established and suitable algorithms are achieved. The calculation shows that this lossless coding system based on integer DCT is of higher compression performance.
引文
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[4]CALDERBANK A R,DAUBECHIES I,SWELDENSW.Wavelet transforms that map integers to integers[M].Technical Report,De2partment ofMathematics,Prince-ton University,1996.
[5]TRACD.TranThe BinDCT:Fast Multiplierless Approxi-mation of the DCT IEEE,Member[J].IEEE Sigalpro-cessing Letters,2000,7(6):141.
[6]HAO PENGWEI,SHI QINGYUN.Matrix factorizations for reversibleinteger mapping[J].IEEE Trans.on Sig-nal Processing,2001,49(10):2314.
[7]DAVID TAUBMAN.High performance scalable image compression with EBCOT[J].IEEE Trans.Image Pro-cessing,2000,9(7):1158.
[8]桑爱军,陈贺新.三维矩阵彩色图像WDCT压缩编码[J].电子学报,2002,5(7):21.
[9]闫宇松,石青云.可逆的DCT整数变换与无失真图像压缩[J].软件学报,2000,11(5):620.
[10]张旭东,卢国栋,冯键.图像编码基础和小波压缩技术─原理、算法和标准[M].北京:清华大学出版社,2004.
[2]SAID A,PEARKMAN W.A New,Fast and Efficient Image Codec Based on Set Partitioning in Hierarchical Trees[J].IEEE Trans,On Circuit and System for Video Technology,June1996,6(3):234.
[3]GIRIDHAR MANDYAM,NASIR AHMED,NEERAJ MAGOTRA.Losslessimage compression using the dis-crete cosine transform[J].Journal of Visual Communi-cation and Image Rep resentation,1997,8(1):21.
[4]CALDERBANK A R,DAUBECHIES I,SWELDENSW.Wavelet transforms that map integers to integers[M].Technical Report,De2partment ofMathematics,Prince-ton University,1996.
[5]TRACD.TranThe BinDCT:Fast Multiplierless Approxi-mation of the DCT IEEE,Member[J].IEEE Sigalpro-cessing Letters,2000,7(6):141.
[6]HAO PENGWEI,SHI QINGYUN.Matrix factorizations for reversibleinteger mapping[J].IEEE Trans.on Sig-nal Processing,2001,49(10):2314.
[7]DAVID TAUBMAN.High performance scalable image compression with EBCOT[J].IEEE Trans.Image Pro-cessing,2000,9(7):1158.
[8]桑爱军,陈贺新.三维矩阵彩色图像WDCT压缩编码[J].电子学报,2002,5(7):21.
[9]闫宇松,石青云.可逆的DCT整数变换与无失真图像压缩[J].软件学报,2000,11(5):620.
[10]张旭东,卢国栋,冯键.图像编码基础和小波压缩技术─原理、算法和标准[M].北京:清华大学出版社,2004.
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