190 辽宁师范大学学报(自然科学版) 第38卷 [9]王相海,宋传鸣.图像及视频的可分级编码[M].北京:科学出版社,2009:10—14. [10] SEVETTOS D,VAIsHAMPAYAN V A,SLOANE J A.Multiple description lattice vector quantizati。n[c]//Proc IEEE:Data Compression of Electrical and Electronic Engineering,Conf,Snowbird,UT,Mar1999:13-22. .[11]DO M N,VETTER M.The Contourlet Transform:an efficient directional multiresolution image representation[J].IEEE Trans on Image Processing,2005,14(12):209卜2106. [12]王相海,魏婷婷,周光,等.Contourlet四叉树系数方向相关性的遥感图像融合算法[J].计算机研究与发展,2013,50(8): l778—1786. [13] SERVETTOS D,RAMCHANDRAN K,VAIsHAMPAYAN V A.Multiple description wavelet based image coding[J]IEEE Ttans Image Process,2000,9:8l3. Multiple description lattice quantization image coding algorithm based on coefficients direction scanning in Contourlet WANG Xianghai,LANG Fenghua, SONG Chuanming (College of Computer and Information Technology,Liaoning Normal University,Dalian 116081,China) Abstract.Multiple description lattice vector quantization image coding algorithm based on Contourlet transform direction is proposed.The characteristics of multi—scale,multi direction of Contour1et is used to solve the limitations of insufficiency of wavelet transform in the process of multip1e descriD— tion lattice vector quantization in directional information of input imageAccording to the direction .characteristics of Contourlet coefficients in the sub—bands dividing domain,which design correspond— ing scanning way to reorder coefficients;As the multiple description coding of vector quantization scheme based on the geometric similarity six sides lattice for image codingThe experimental results .show that the strategy of single channel decoding image peak signal—to—noise ratio has a certain degree of increase than traditional scheme,at the same time,reconstructed image retain the original image geometry information of texture and edge. Key words:multiple description coding;a two—dimensional vector quantization;Contourlet transform: scanning strategy ◆】◆…}◆IIll ̄llll◆…1◆…I◆…◆…◆…◆…◆…◆I◆…l◆…1●…I◆…◆…◆…◆Ill ̄llll ̄l I◆…【◆…◆…I◆…◆I◆…◆{◆…1.I1◆…◆…◆…◆…◆…◆…◆…◆…◆…◆…1.…I◆…l◆…◆…◆…I◆…◆ 学术论文的标点符号及其用法 《辽宁师范大学学报》(自然科学版)标点符号的用法严格执行国家发布的《标点符号用法》,要点如下 a.句号用黑圆点表示. b.省略号用2个三连点,其后不必写“等”字;在数学式中只用1个三连点. c.波浪号“~”用于表示数值范围. d.一字线“一”用于表示起止或范围等. e.半字线“一”用于表示复合名词等. f.外文中的标点符号遵循外文的习惯用法(外文的缩写和转行遵循有关规则).