Construction of image reduction operators using averaging aggregation functions

被引:66
|
作者
Paternain, D. [1 ]
Fernandez, J. [1 ]
Bustince, H. [1 ]
Mesiar, R. [2 ,3 ]
Beliakov, G. [4 ]
机构
[1] Univ Publ Navarra, Dept Automat & Computac, Pamplona, Spain
[2] Slovak Univ Technol Bratislava, Dept Math & Descript Geometry, Bratislava, Slovakia
[3] Univ Ostrava, IRAFM, Ctr Excellence IT4Innovat, CZ-70103 Ostrava, Czech Republic
[4] Deakin Univ, Sch Informat Technol, Burwood, Vic, Australia
基金
美国国家科学基金会;
关键词
Image reduction; Reduction operators; Local reduction operators; Aggregation functions; Averaging functions; FUZZY TRANSFORMS; INTERPOLATION;
D O I
10.1016/j.fss.2014.03.008
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this work we present an image reduction algorithm based on averaging aggregation functions. We axiomatically define the concepts of image reduction operator and local reduction operator. We study the construction of the latter by means of averaging functions and we propose an image reduction algorithm (image reduction operator). We analyze the properties of several averaging functions and their effect on the image reduction algorithm. Finally, we present experimental results where we apply our algorithm in two different applications, analyzing the best operators for each concrete application. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:87 / 111
页数:25
相关论文
共 50 条
  • [1] Image Reduction Operators Based on Non-Monotonic Averaging Functions
    Wilkin, Tim
    2013 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ - IEEE 2013), 2013,
  • [2] Image Reduction Operators as Aggregation Functions: Fuzzy Transform and Undersampling
    Paternain, D.
    Jurio, A.
    Mesiar, R.
    Beliakov, G.
    Bustince, H.
    AGGREGATION FUNCTIONS IN THEORY AND IN PRACTISE, 2013, 228 : 405 - 414
  • [3] Edge Image Aggregation Method using Ordered Weighted Averaging Functions
    Gonzalez-Hidalgo, Manuel
    Massanet, Sebastia
    Mir, Arnau
    Ruiz-Aguilera, Daniel
    2016 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2016, : 1355 - 1362
  • [4] Some Averaging Functions in Image Reduction
    Paternain, D.
    Bustince, H.
    Fernandez, J.
    Beliakov, G.
    Mesiar, R.
    TRENDS IN APPLIED INTELLIGENT SYSTEMS, PT III, PROCEEDINGS, 2010, 6098 : 399 - +
  • [5] A view of averaging aggregation operators
    Torra, Vicenc
    Narukawa, Yasuo
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2007, 15 (06) : 1063 - 1067
  • [6] Compensative weighted averaging aggregation operators
    Aggarwal, Manish
    APPLIED SOFT COMPUTING, 2015, 28 : 368 - 378
  • [7] NORM REDUCTION OF AVERAGING OPERATORS
    COHEN, HB
    WOLFE, J
    LABBE, MA
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 35 (02) : 519 - &
  • [8] Generalized compensative weighted averaging aggregation operators
    Aggarwal, Manish
    COMPUTERS & INDUSTRIAL ENGINEERING, 2015, 87 : 81 - 90
  • [9] Aggregation with generalized mixture operators using weighting functions
    Pereira, RAM
    Ribeiro, RA
    FUZZY SETS AND SYSTEMS, 2003, 137 (01) : 43 - 58
  • [10] Approximation of membership functions and aggregation operators using splines
    Beliakov, G
    TECHNOLOGIES FOR CONSTRUCTING INTELLIGENT SYSTEMS 2: TOOLS, 2002, 90 : 159 - 172