International Conference on Computer Aided Systems Theory

Computer Aided Systems Theory – EUROCAST 2015 pp 103-109

A Class of 3-D Distributed Modular Computing Nets

  • Arminda Moreno-Díaz
  • Gabriel de Blasio
  • Roberto Moreno-Díaz
Conference paper

DOI: 10.1007/978-3-319-27340-2_14

Part of the Lecture Notes in Computer Science book series (LNCS, volume 9520)
Cite this paper as:
Moreno-Díaz A., de Blasio G., Moreno-Díaz R. (2015) A Class of 3-D Distributed Modular Computing Nets. In: Moreno-Díaz R., Pichler F., Quesada-Arencibia A. (eds) Computer Aided Systems Theory – EUROCAST 2015. Lecture Notes in Computer Science, vol 9520. Springer, Cham

Abstract

The class of flat triangular and layered nets of simple computing units, which gives rise to Newton and Hermite filters in two dimensions are extended to 3-D by means of two natural discrete ways. First, by means of the so called Pascal Pyramids; and second, by introducing a rectangular grilled “retina”, which leads to a kind of Newton quadrangular pyramids and to 3-D Newton Filters and Nets. Both cases can be extended to the continuous in the form of 2-D Hermite functions and filters of different orders (degree of derivatives). Preliminary results and examples are presented.

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Arminda Moreno-Díaz
    • 1
  • Gabriel de Blasio
    • 2
  • Roberto Moreno-Díaz
    • 2
  1. 1.School of Computer ScienceMadrid Technical UniversityMadridSpain
  2. 2.Instituto Universitario de Ciencias Y Tecnologías CibernéticasULPGCLas PalmasSpain

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