WAVELET CHARACTERIZATIONS OF MULTI-DIRECTIONAL REGULARITY

被引：4
|
作者：
Ben Slimane, Mourad [1 ]
机构：
[1] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2012年 / 20卷 / 3-4期
关键词：
Multi-Directional Regularity; Anisotropic Holder Regularity; Anisotropic Wavelets; Anisotropic Wavelet Transform; SINGULARITY;
D O I：
10.1142/S0218348X12500223
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The study of d dimensional traces of functions of m several variables leads to directional behaviors. The purpose of this paper is two-fold. Firstly, we extend the notion of one direction pointwise Holder regularity introduced by Jaffard to multi-directions. Secondly, we characterize multi-directional pointwise regularity by Triebel anisotropic wavelet coefficients (resp. leaders), and also by Calderon anisotropic continuous wavelet transform.
引用
收藏
页码：245 / 256
页数：12
相关论文
共 50 条
  • [1] Discrete multi-directional wavelet bases
    Velisavljevic, V
    Beferull-Lozano, B
    Vetterli, M
    Dragotti, PL
    2003 INTERNATIONAL CONFERENCE ON IMAGE PROCESSING, VOL 1, PROCEEDINGS, 2003, : 1025 - 1028
  • [2] Method of multi-directional image edge detection based on steerable wavelet
    Kang, Zhi-Wei
    Liao, Jian-Li
    He, Yi-Gang
    Xitong Fangzhen Xuebao / Journal of System Simulation, 2006, 18 (04): : 986 - 988
  • [3] MULTI-DIRECTIONAL SWITCH ACTUATION
    不详
    INSTRUMENTATION TECHNOLOGY, 1969, 16 (08): : 63 - &
  • [4] Extreme multi-directional waves
    Johannessen, TB
    Swan, C
    COASTAL ENGINEERING 1998, VOLS 1-3, 1999, : 1110 - 1123
  • [5] Multi-directional motion adaptation
    McGovern, David Patrick
    Roach, Neil W.
    Webb, Ben S.
    I-PERCEPTION, 2012, 3 (04): : 245 - 245
  • [6] MULTI-DIRECTIONAL ORTHODONTIC TREATMENT
    WILSON, WL
    AMERICAN JOURNAL OF ORTHODONTICS, 1970, 57 (01): : 64 - &
  • [7] Multi-directional vectoring nozzle
    Trego, L
    AEROSPACE ENGINEERING, 1996, 16 (04) : 19 - 19
  • [8] Multi-directional local search
    Tricoire, Fabien
    COMPUTERS & OPERATIONS RESEARCH, 2012, 39 (12) : 3089 - 3101
  • [9] On Multi-Directional Context Sets
    Ordentlich, Erik
    Weinberger, Marcelo J.
    Chang, Cheng
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2011, 57 (10) : 6827 - 6836
  • [10] Multi-Directional Heuristic Search
    Atzmon, Dor
    Li, Jiaoyang
    Felner, Ariel
    Nachmani, Eliran
    Shperberg, Shahaf
    Sturtevant, Nathan
    Koenig, Sven
    PROCEEDINGS OF THE TWENTY-NINTH INTERNATIONAL JOINT CONFERENCE ON ARTIFICIAL INTELLIGENCE, 2020, : 4062 - 4068
12345