New Algorithm for Constructing and Computing Scale Invariants of 3D Tchebichef Moments

被引：9
|
作者：
Wu, Haiyong [1 ]
Coatrieux, Jean Louis [1 ,2 ,3 ,4 ]
Shu, Huazhong [1 ,4 ]
机构：
[1] Southeast Univ, Sch Comp Sci & Engn, Lab Image Sci & Technol, Nanjing 210096, Jiangsu, Peoples R China
[2] INSERM, U1099, F-35000 Rennes, France
[3] Univ Rennes 1, Lab Traitement Signal & Image, F-35000 Rennes, France
[4] Ctr Rech Informat Biomed Sino Francais CRIBs, Nanjing 210096, Jiangsu, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2013年 / 2013卷
基金：
中国国家自然科学基金;
关键词：
IMAGE-ANALYSIS; PATTERN RECOGNITION; TRANSLATION;
D O I：
10.1155/2013/813606
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Scale invariants of Tchebichef moments are usually achieved by a linear combination of corresponding invariants of geometric moments or via an iterative algorithm to eliminate the scale factor. According to the properties of Tchebichef polynomials, we propose a new approach to construct scale invariants of Tchebichef moments. An algorithm based on matrix multiplication is also provided to efficiently compute the 3D moments and invariants. Several experiments are carried out to validate the effectiveness of our descriptors and algorithm.
引用
收藏
页数：8
相关论文
共 50 条
  • [1] Translation and scale invariants of Tchebichef moments
    Zhu, Hongqing
    Shu, Huazhong
    Xia, Ting
    Luo, Limin
    Coatrieux, Jean Louis
    PATTERN RECOGNITION, 2007, 40 (09) : 2530 - 2542
  • [2] Scale invariants of Tchebichef moments for binary image
    Wu, Haiyong
    Guangxue Xuebao/Acta Optica Sinica, 2009, 29 (12): : 3374 - 3378
  • [3] Computing invariants of Tchebichef moments for shape based image retrieval
    Wu, Haiyong
    Yan, Senlin
    NEUROCOMPUTING, 2016, 215 : 110 - 117
  • [4] Efficient Translation, Rotation, and Scale Invariants of Discrete Tchebichef Moments
    Pee, Chih-Yang
    Ong, Seng-Huat
    Raveendran, Paramesran
    IEEE ACCESS, 2021, 9 : 163954 - 163964
  • [5] Translation and Scale Invariants of Three-Dimensional Tchebichef Moments
    El Mallahi, Mosatafa
    Mesbah, Abderrahim
    Qjidaa, Hassan
    Zenkouar, Khalid
    El Fadili, Hakim
    2015 INTELLIGENT SYSTEMS AND COMPUTER VISION (ISCV), 2015,
  • [6] Compact computation of tchebichef moments for 3D object representation
    El Mallahi, Mostafa, 1600, World Scientific and Engineering Academy and Society, Ag. Ioannou Theologou 17-23, Zographou, Athens, 15773, Greece (13):
  • [7] Fast computation of 3D Tchebichef moments for higher orders
    Rivera-Lopez, J. Saul
    Camacho-Bello, Cesar
    Vargas-Vargas, Horlando
    Escamilla-Noriega, Alicia
    JOURNAL OF REAL-TIME IMAGE PROCESSING, 2022, 19 (01) : 15 - 27
  • [8] Fast computation of 3D Tchebichef moments for higher orders
    J. Saúl Rivera-Lopez
    César Camacho-Bello
    Horlando Vargas-Vargas
    Alicia Escamilla-Noriega
    Journal of Real-Time Image Processing, 2022, 19 : 15 - 27
  • [9] 3D rotation invariants by complex moments
    Suk, Tomas
    Flusser, Jan
    Boldys, Jiri
    PATTERN RECOGNITION, 2015, 48 (11) : 3516 - 3526
  • [10] Scale Invariants of Radial Tchebichef Moments for Shape-Based Image Retrieval
    El-ghazal, A.
    Basir, O.
    Belkasim, S.
    2009 11TH IEEE INTERNATIONAL SYMPOSIUM ON MULTIMEDIA (ISM 2009), 2009, : 318 - +
12345