Membrane parallelism for discrete Morse theory applied to digital images

被引：0
|
作者：
Raúl Reina-Molina
Daniel Díaz-Pernil
Pedro Real
Ainhoa Berciano
机构：
[1] University of Seville,CATAM Research Group, Department of Applied Mathematics I
[2] University of the Basque Country,Department of Didactic of Mathematics and Experimental Sciences
来源：
Applicable Algebra in Engineering, Communication and Computing | 2015年 / 26卷
关键词：
Discrete Morse theory; Digital Imagery; Homology groups; Membrane Computing;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we propose a bio-inspired membrane computational framework for constructing discrete Morse complexes for binary digital images. Our approach is based on the discrete Morse theory and we work with cubical complexes. As example, a parallel algorithm for computing homology groups of binary 3D digital images is designed.
引用
收藏
页码：49 / 71
页数：22
相关论文
共 50 条
  • [21] Discrete Morse theory for weighted simplicial complexes
    Wu, Chengyuan
    Ren, Shiquan
    Wu, Jie
    Xia, Kelin
    TOPOLOGY AND ITS APPLICATIONS, 2020, 270
  • [22] Discrete Morse Theory for Computing Zigzag Persistence
    Clément Maria
    Hannah Schreiber
    Discrete & Computational Geometry, 2024, 71 : 708 - 737
  • [23] Discrete Morse Theory for Computing Zigzag Persistence
    Maria, Clement
    Schreiber, Hannah
    DISCRETE & COMPUTATIONAL GEOMETRY, 2024, 71 (02) : 708 - 737
  • [24] Discrete Morse theory and graph braid groups
    Farley, Daniel
    Sabalka, Lucas
    ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2005, 5 : 1075 - 1109
  • [25] Discrete Morse theory and the consecutive pattern poset
    Bruce E. Sagan
    Robert Willenbring
    Journal of Algebraic Combinatorics, 2012, 36 : 501 - 514
  • [26] Discrete Morse theory on ΩS2
    Johnson, Lacey
    Knudson, Kevin
    TOPOLOGY AND ITS APPLICATIONS, 2025, 360
  • [27] The main theorem of discrete Morse theory for Morse matchings with finitely many rays
    Kukiela, Michal
    TOPOLOGY AND ITS APPLICATIONS, 2013, 160 (09) : 1074 - 1082
  • [28] Discrete Morse Theory for Computing Cellular Sheaf Cohomology
    Justin Curry
    Robert Ghrist
    Vidit Nanda
    Foundations of Computational Mathematics, 2016, 16 : 875 - 897
  • [29] Discrete Morse Theory for Computing Cellular Sheaf Cohomology
    Curry, Justin
    Ghrist, Robert
    Nanda, Vidit
    FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, 2016, 16 (04) : 875 - 897
  • [30] Minimal Resolutions via Algebraic Discrete Morse Theory
    Joellenbeck, Michael
    Welker, Volkmar
    MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 197 (923) : 1 - +
12345