参数化的Deslauriers-Dubuc插值小波——构造及图像编码性能分析
研究了采用提升构造具有任意偶数阶消失矩,满足对称性,且仅用一个自由参数表达的Deslauriers-Dubuc（D-D）双正交插值小波.首先,采用多相矩阵理论推导出了此类小波存在的条件;然后,给出了对应小波滤波器和插值小波变换的构造算法.采用算法具体构造了分别具有消失矩对（4,2）、（4,4）、（6,2）以及（6,4）等4类一参数表达的D-D插值小波;最后,以自由参数为自变量,根据编码增益准则,优化设计了4种用于图像编码的插值小波,其滤波器系数全为二进制分数,可实现非乘法运算的离散小波变换（Discrete wavelet transform,DWT）.系统分析表明,两种小波的压缩性能超过CD...
Saved in:
| Published in | 自动化学报 Vol. 40; no. 10; pp. 2334 - 2345 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | Chinese |
| Published |
西安交通大学人工智能与机器人研究所 西安 710049%西安交通大学人工智能与机器人研究所 西安 710049%常熟理工学院计算机科学与工程学院 常熟 215500
2014
常熟理工学院计算机科学与工程学院 常熟 215500 |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0254-4156 1874-1029 |
| DOI | 10.3724/SP.J.1004.2014.02334 |
Cover
| Abstract | 研究了采用提升构造具有任意偶数阶消失矩,满足对称性,且仅用一个自由参数表达的Deslauriers-Dubuc（D-D）双正交插值小波.首先,采用多相矩阵理论推导出了此类小波存在的条件;然后,给出了对应小波滤波器和插值小波变换的构造算法.采用算法具体构造了分别具有消失矩对（4,2）、（4,4）、（6,2）以及（6,4）等4类一参数表达的D-D插值小波;最后,以自由参数为自变量,根据编码增益准则,优化设计了4种用于图像编码的插值小波,其滤波器系数全为二进制分数,可实现非乘法运算的离散小波变换（Discrete wavelet transform,DWT）.系统分析表明,两种小波的压缩性能超过CDF-9/7小波,对于纹理图像,PSNR增益达到0.44dB,并且计算复杂度可降低17%以上.实验同时表明,新小波的重构图像具有更好的主观可视质量. |
|---|---|
| AbstractList | 研究了采用提升构造具有任意偶数阶消失矩,满足对称性,且仅用一个自由参数表达的Deslauriers-Dubuc（D-D）双正交插值小波.首先,采用多相矩阵理论推导出了此类小波存在的条件;然后,给出了对应小波滤波器和插值小波变换的构造算法.采用算法具体构造了分别具有消失矩对（4,2）、（4,4）、（6,2）以及（6,4）等4类一参数表达的D-D插值小波;最后,以自由参数为自变量,根据编码增益准则,优化设计了4种用于图像编码的插值小波,其滤波器系数全为二进制分数,可实现非乘法运算的离散小波变换（Discrete wavelet transform,DWT）.系统分析表明,两种小波的压缩性能超过CDF-9/7小波,对于纹理图像,PSNR增益达到0.44dB,并且计算复杂度可降低17%以上.实验同时表明,新小波的重构图像具有更好的主观可视质量. 研究了采用提升构造具有任意偶数阶消失矩,满足对称性,且仅用一个自由参数表达的Deslauriers-Dubuc (D-D)双正交插值小波.首先,采用多相矩阵理论推导出了此类小波存在的条件；然后,给出了对应小波滤波器和插值小波变换的构造算法.采用算法具体构造了分别具有消失矩对(4,2)、(4,4)、(6,2)以及(6,4)等4类一参数表达的D-D 插值小波；最后,以自由参数为自变量,根据编码增益准则,优化设计了4种用于图像编码的插值小波,其滤波器系数全为二进制分数,可实现非乘法运算的离散小波变换(Discrete wavelet transform, DWT).系统分析表明,两种小波的压缩性能超过CDF-9/7小波,对于纹理图像, PSNR增益达到0.44 dB,并且计算复杂度可降低17%以上.实验同时表明,新小波的重构图像具有更好的主观可视质量. |
| Abstract_FL | This paper mainly focuses on how to construct new parametric Deslauriers-Dubuc (D-D) biorthogonal in-terpolating wavelets which have arbitrary vanishing moments, symmetry, and depend on one free parameter via lifting scheme. We first derive their existence conditions necessary for the wavelets with the polyphase matrix theory. Then, we demonstrate the detailed algorithm for constructing their associated wavelet filter bank and interpolating wavelet trans-forms. With the algorithm, four classes of parametric D-D wavelets with vanishing moment pairs of (4, 2), (4, 4), (6, 2) and (6, 4), respectively are constructed. Finally, according to the coding gain criterion, we design four new interpolating wavelets for image coding by adjusting the free parameter;they all have dyadic-fraction filter coefficients and can realize a multiplication-free DWT. Extensive simulations show that the two interpolating wavelets exhibit performances superior to the CDF-9/7 wavelet, especially with a gain of up to 0.44 dB in PSNR over the latter for rich-textured image and a lower computational cost by 17%. In addition, significant improvement in sub jectively visual quality is also observed. |
| Author | 刘在德 兰旭光 张明新 |
| AuthorAffiliation | 常熟理工学院计算机科学与工程学院,常熟215500 西安交通大学人工智能与机器人研究所,西安710049 |
| AuthorAffiliation_xml | – name: 常熟理工学院计算机科学与工程学院 常熟 215500; 西安交通大学人工智能与机器人研究所 西安 710049%西安交通大学人工智能与机器人研究所 西安 710049%常熟理工学院计算机科学与工程学院 常熟 215500 |
| Author_FL | LIU Zai-De LAN Xu-Guang ZHANG Ming-Xin |
| Author_FL_xml | – sequence: 1 fullname: LIU Zai-De – sequence: 2 fullname: LAN Xu-Guang – sequence: 3 fullname: ZHANG Ming-Xin |
| Author_xml | – sequence: 1 fullname: 刘在德 兰旭光 张明新 |
| BookMark | eNotkMtKw0AYhQepYK19A1cu3CXOTGaSmaW0XilYqPsyk2TaSk01IXhZRVtERIiIdqFQihu3BbfVhxEm1bcwovDD2Xyc8_MtgkLQC3wAlhE0LQeTtUbd3DURhMTEEBETYssic6CImEMMBDEvgCLElBgEUXsBlKOoIyFyiMOxBYugrtPL7HGib4ezp0HVj7oiDjt-GBnVWMZult7rZKonafb28pk85JeNBt_JWKc3-vlD99PZdDgbX2TJ61f_XV9fZaO7JTCvRDfyy_9ZAo3Njf3KtlHb29qprNcMlzLH4BIr26VYScoZs5lAXNg2Q0owyKBDEeMKK648iHwqseD5w1j60oMeQjaxSmD1r_VEBEoEreZBLw6DfK957rVP5a-JXAl2cnDlD3TbvaB13MnRo7BzKMKzpm1jynhuyPoBujt0DA |
| ContentType | Journal Article |
| Copyright | Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
| Copyright_xml | – notice: Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
| DBID | 2RA 92L CQIGP W92 ~WA 2B. 4A8 92I 93N PSX TCJ |
| DOI | 10.3724/SP.J.1004.2014.02334 |
| DatabaseName | 维普期刊资源整合服务平台 中文科技期刊数据库-CALIS站点 维普中文期刊数据库 中文科技期刊数据库-工程技术 中文科技期刊数据库- 镜像站点 Wanfang Data Journals - Hong Kong WANFANG Data Centre Wanfang Data Journals 万方数据期刊 - 香港版 China Online Journals (COJ) China Online Journals (COJ) |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| DocumentTitleAlternate | Parametric Deslauriers-Dubuc Interpolating Wavelets： Construction and Performance Analysis for Image Coding |
| DocumentTitle_FL | Parametric Deslauriers-Dubuc Interpolating Wavelets:Construction and Performance Analysis for Image Coding |
| EISSN | 1874-1029 |
| EndPage | 2345 |
| ExternalDocumentID | zdhxb201410027 662589029 |
| GrantInformation_xml | – fundername: 国家重点基础研究发展计划(973计划); 国家自然科学基金(61175010,61173130)资助Supported by National Basic Research Program of China (973 Program); National Natural Science Founda-tion of China funderid: (2012CB316400); (2012CB316400); (61175010,61173130) |
| GroupedDBID | --K -0Y .~1 0R~ 1B1 1~. 1~5 2B. 2C0 2RA 4.4 457 4G. 5GY 5VS 5XA 5XJ 7-5 71M 8P~ 92H 92I 92L AAIKJ AALRI AAQFI AAXUO ACGFS ADEZE ADTZH AECPX AEKER AFTJW AGHFR AGYEJ AITUG AJOXV ALMA_UNASSIGNED_HOLDINGS BLXMC CCEZO CQIGP CS3 CUBFJ CW9 EBS EFLBG EJD EO8 EO9 EP2 EP3 FDB FEDTE FNPLU GBLVA HVGLF HZ~ IHE J1W JJJVA M41 MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q38 ROL RPZ SDF SDG SES TCJ TGT U1G U5S W92 ~WA 4A8 93N ABJNI ABWVN ACRPL ADNMO PSX |
| ID | FETCH-LOGICAL-c587-9b2f6c52fb598868a19a6681fa808075189f2f9fd01e5b2a97472bebd0d11643 |
| ISSN | 0254-4156 |
| IngestDate | Thu May 29 04:10:30 EDT 2025 Wed Feb 14 10:36:26 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 10 |
| Keywords | interpolating filter 插值小波 消失矩 discrete wavelet transform (DWT) 插值滤波器 lifting scheme vanishing moment 图像编码 离散小波变换 提升 interpolating wavelet 双正交小波 image coding Biorthogonal wavelet |
| Language | Chinese |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c587-9b2f6c52fb598868a19a6681fa808075189f2f9fd01e5b2a97472bebd0d11643 |
| Notes | LIU Zai-De LAN Xu-Guang ZHANG Ming-Xin 1. School of Computer Science and Engineering, Changshu Institute of Technology, Changshu 215500 2. Institute of Artificial Intelligence and Robotics, Xi＇an Jiaotong University, Xi＇an 710049 This paper mainly focuses on how to construct new parametric Deslauriers-Dubuc （D-D） biorthogonal in- terpolating wavelets which have arbitrary vanishing moments, symmetry, and depend on one free parameter via lifting scheme. We first derive their existence conditions necessary for the wavelets with the polyphase matrix theory. Then, we demonstrate the detailed algorithm for constructing their associated wavelet filter bank and interpolating wavelet transforms. With the algorithm, four classes of parametric D-D wavelets with vanishing moment pairs of （4~ 2）, （4~ 4）, （6~ 2） and （6, 4）, respectively are constructed. Finally, according to the coding gain criterion, we design four new interpolating wavelets for image coding by adjusting the free parameter; they all have dyadic-fraction fi |
| PageCount | 12 |
| ParticipantIDs | wanfang_journals_zdhxb201410027 chongqing_primary_662589029 |
| PublicationCentury | 2000 |
| PublicationDate | 2014 |
| PublicationDateYYYYMMDD | 2014-01-01 |
| PublicationDate_xml | – year: 2014 text: 2014 |
| PublicationDecade | 2010 |
| PublicationTitle | 自动化学报 |
| PublicationTitleAlternate | Acta Automatica Sinica |
| PublicationTitle_FL | Acta Automatica Sinica |
| PublicationYear | 2014 |
| Publisher | 西安交通大学人工智能与机器人研究所 西安 710049%西安交通大学人工智能与机器人研究所 西安 710049%常熟理工学院计算机科学与工程学院 常熟 215500 常熟理工学院计算机科学与工程学院 常熟 215500 |
| Publisher_xml | – name: 常熟理工学院计算机科学与工程学院 常熟 215500 – name: 西安交通大学人工智能与机器人研究所 西安 710049%西安交通大学人工智能与机器人研究所 西安 710049%常熟理工学院计算机科学与工程学院 常熟 215500 |
| SSID | ssib017479230 ssib001102911 ssib006576350 ssib051375349 ssib007293330 ssj0059721 ssib007290157 ssib023646446 ssib005904210 |
| Score | 2.0428357 |
| Snippet | ... 研究了采用提升构造具有任意偶数阶消失矩,满足对称性,且仅用一个自由参数表达的Deslauriers-Dubuc... |
| SourceID | wanfang chongqing |
| SourceType | Aggregation Database Publisher |
| StartPage | 2334 |
| SubjectTerms | 双正交小波 图像编码 提升 插值小波 插值滤波器 消失矩 离散小波变换 |
| Title | 参数化的Deslauriers-Dubuc插值小波——构造及图像编码性能分析 |
| URI | http://lib.cqvip.com/qk/90250X/201410/662589029.html https://d.wanfangdata.com.cn/periodical/zdhxb201410027 |
| Volume | 40 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnR1NaxQxNNT2ogfxE2v96MGcZOpMZpJMjjPbqaWoFKzS2zKf3YNs1XZBelptERFhRbQHhVK8eC14rf4YYbbqr_C9ZHZ31CIqLEvy8t5LJm_m5b18vBByRSZKJkLkliw4szyZMUtJ17VwMHVzDMgu8aDwzVti_o63sMyXx8a-13YtddaTmXTj0HMl_yNVgIFc8ZTsP0h2yBQAkAb5wj9IGP7_SsY04tSfoz6jkaCK09DWkAZVgkaSqoD6HjiW92J9L92aNdtJOiniApFiGtemYQMTQApAKApdGrDBFgivloAaIuBHI4WQwB5UHmBChTSMNMTVfCSyNa0ATN_RlQKVpJGPOOGsRoa0qDib6zwHdrJGA1rNHKoI_NqTcRrM0kATYhEfvDQVS6VxVaMignaF8qouMz0E1UnkYCC-0mXQ3MCUQcWRTkBf2PVJEXMMtdKa4PFa6JWaAc5odV96MN5UUyuV2jdRogavt11X4m41v5pXWRPw8tfBxpXMw-XuxZkF3GuCE3SON2OPqH8K4y3A0cQ1XXWETDApHT5OJq6HN-4GI-MVW1jTtlyBQq0ZZ4Jj8MBRXuISeG3NGvKuO3IGwdXE2JDDPN4UIGrOP3dccFXR-TZ2C8c4TnpGsupAc9AUn_LaYc-IwUhaq-2VB2Bi6RNv7SJur9SMs6UT5HjlVU0H5hM5ScY2WqfIsVqszdNksew96b_ZK19sH7zd-u2j6Pdeld39cq_X__j-S_c1_Po7W9-6u2Xvefnuc7nZO9jfPth93O9--Lr5qXz2tL_z8gy5PRctNeat6joRK-UwkqqEFSLlrEi48n3hx46KhfCdIsbQqrj6qApWqCKznZwnLEZHmyV5ktmZ44DdfpaMt1fb-Tky7dpF7IFjkSrAyTI75jaLE5WmduqITPBJMjXsmeZ9EzSmOZT_JLlc9VWzUiVrzY2s9Shhes-1zeT5P9JPkaOIaaYBL5Dx9Yed_CIYxuvJpeqN-gEdYI-L |
| linkProvider | Elsevier |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=%E5%8F%82%E6%95%B0%E5%8C%96%E7%9A%84Deslauriers-Dubuc%E6%8F%92%E5%80%BC%E5%B0%8F%E6%B3%A2%E2%80%94%E2%80%94%E6%9E%84%E9%80%A0%E5%8F%8A%E5%9B%BE%E5%83%8F%E7%BC%96%E7%A0%81%E6%80%A7%E8%83%BD%E5%88%86%E6%9E%90&rft.jtitle=%E8%87%AA%E5%8A%A8%E5%8C%96%E5%AD%A6%E6%8A%A5&rft.au=%E5%88%98%E5%9C%A8%E5%BE%B7+%E5%85%B0%E6%97%AD%E5%85%89+%E5%BC%A0%E6%98%8E%E6%96%B0&rft.date=2014&rft.issn=0254-4156&rft.eissn=1874-1029&rft.volume=40&rft.issue=10&rft.spage=2334&rft.epage=2345&rft_id=info:doi/10.3724%2FSP.J.1004.2014.02334&rft.externalDocID=662589029 |
| thumbnail_s | http://utb.summon.serialssolutions.com/2.0.0/image/custom?url=http%3A%2F%2Fimage.cqvip.com%2Fvip1000%2Fqk%2F90250X%2F90250X.jpg http://utb.summon.serialssolutions.com/2.0.0/image/custom?url=http%3A%2F%2Fwww.wanfangdata.com.cn%2Fimages%2FPeriodicalImages%2Fzdhxb%2Fzdhxb.jpg |