Generalized non-uniform B-spline functions for discrete signal interpolation

被引：3
|
作者：
Chihab, N [1 ]
Zergaïnoh, A [1 ]
Astruc, JP [1 ]
机构：
[1] Univ Paris 13, L2TI, Inst Galilee, F-93430 Villetaneuse, France
来源：
SEVENTH INTERNATIONAL SYMPOSIUM ON SIGNAL PROCESSING AND ITS APPLICATIONS, VOL 2, PROCEEDINGS | 2003年
关键词：
D O I：
10.1109/ISSPA.2003.1224832
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper is concerned with the problem of recovering a discrete signal from a set of irregular spaced samples at known locations. We propose a local interpolation method based on non-uniform B-spline functions. Under specific constraints (multiplicity order imposed on each knot), we generalize the non-uniform B-spline functions for any degree of the interpolation function. We show that whatever the degree of the interpolation function, only few knots are enough to reconstruct the discrete signal. We provide a new and general scheme for the implementation of the reconstruction method. The results of simulation are satisfactory.
引用
收藏
页码：129 / 132
页数：4
相关论文
共 50 条
  • [1] The interpolation algorithm based on non-uniform B-spline curve
    Kong, Y.
    Xiao, Y.
    Han, M.
    Peng, X.
    [J]. Huazhong Ligong Daxue Xuebao/Journal Huazhong (Central China) University of Science and Technology, 2001, 29 (04): : 69 - 71
  • [2] A digraph and matrix representation for non-uniform B-spline functions
    Santoro, E
    [J]. FOURTH INTERNATIONAL CONFERENCE ON COMPUTER-AIDED DESIGN AND COMPUTER GRAPHICS, 1996, 2644 : 224 - 231
  • [3] Interpolation for non-uniform rational B-spline surface based on STEP-NC
    School of Mechatronics Engineering, Harbin Engineering University, Harbin 150001, China
    不详
    [J]. Jisuanji Jicheng Zhizao Xitong, 2008, 6 (1136-1141): : 1136 - 1141
  • [4] Neural Diffeomorphic Non-uniform B-spline Flows
    Hong, Seongmin
    Chun, Se Young
    [J]. THIRTY-SEVENTH AAAI CONFERENCE ON ARTIFICIAL INTELLIGENCE, VOL 37 NO 10, 2023, : 12225 - 12233
  • [5] BLIND WATERMARKING OF NON-UNIFORM B-SPLINE SURFACES
    Sun, Shusen
    Pan, Zhigeng
    Kim, Tae-Wan
    [J]. INTERNATIONAL JOURNAL OF IMAGE AND GRAPHICS, 2008, 8 (03) : 439 - 454
  • [6] THE CIRCLE AS A NON-UNIFORM RATIONAL B-SPLINE CURVE
    Schindler, Frank
    [J]. APLIMAT 2005 - 4TH INTERNATIONAL CONFERENCE, PT II, 2005, : 357 - 360
  • [7] Sparse signal representation by adaptive non-uniform B-spline dictionaries on a compact interval
    Rebollo-Neira, Laura
    Xu, Zhiqiang
    [J]. SIGNAL PROCESSING, 2010, 90 (07) : 2308 - 2313
  • [8] Interpolation by Nonuniform B-Spline through Uniform B-Spline Filter Banks
    Yang, Yanli
    Ma, De
    Yu, Ting
    [J]. 2016 IEEE INTERNATIONAL CONFERENCE ON DIGITAL SIGNAL PROCESSING (DSP), 2016, : 375 - 378
  • [9] Derivative-orthogonal non-uniform B-Spline wavelets
    Theodosiou, T. C.
    [J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2021, 188 : 368 - 388
  • [10] Railroad inspection employing a Non-Uniform B-Spline Approach
    Chacon Munoz, J.
    Garcia Marquez, F.
    Roberts, C.
    Papaelias, M.
    [J]. PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON MANAGEMENT SCIENCE AND ENGINEERING MANAGEMENT, 2009, : 170 - 176
12345