Skip to main content
Springer Nature Link
Log in

On the Approximation of Centered Zonotopes in the Plane

  • Conference paper
Large-Scale Scientific Computing (LSSC 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2907))

Included in the following conference series:

Abstract

The present work is devoted to computation with zonotopes in the plane. Using ideas from the theory of quasivector spaces we formulate an approximation problem for zonotopes and propose an algorithm for its solution.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Akyildiz, A., Claudio, D., Markov, S.: On the Linear Combinations of Symmetric Segments. In: Kelevedzhiev, E., Boyvalenkov, P. (eds.) Mathematics and Education of Mathematics (2002); Institute of Mathematics and Informatics. Bulg. Acad. of Sci., Sofia, 321–326 (2000)

    Google Scholar 

  2. Kracht, M., Schröder, G.: Eine Einfürung in die Theorie der quasilinearen Räume mit Anwendung auf die in der Intervallrechnung auftretenden Räume. Math. physik. Semesterberichte XX, 226–242 (1973)

    Google Scholar 

  3. Markov, S.: On the Algebraic Properties of Convex Bodies and Some Applications. J. of Convex Analysis 7, 129–166 (2000)

    MATH  Google Scholar 

  4. Markov, S.: On Quasilinear Spaces of Convex Bodies and Intervals. Journal of Computational and Applied Mathematics (to appear)

    Google Scholar 

  5. Ratschek, H., Schröder, G.: Über den quasilinearen Raum. Ber. Math.-Statist. Sekt. 65, 1–23 (1976)

    Google Scholar 

  6. Ratschek, H., Schröder, G.: Representation of Semigroups as Systems of Compact Convex Sets. Proc. Amer. Math. Soc. 65, 24–28 (1977)

    Article  MATH  MathSciNet  Google Scholar 

  7. Schneider, R.: Convex Bodies: The Brunn-Minkowski Theory. Cambridge Univ. Press, Cambridge (1993)

    Book  MATH  Google Scholar 

  8. Ziegler, G.: Lectures on Polytopes. Springer, Heidelberg (1994)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, ”Acad. G. Bonchev” Str., block 8, BG-1113, Sofia, Bulgaria

    Svetoslav Markov

  2. PUCRS, Faculdade de Informatica/matematica, Av. Ipiranda, 6681 Predio 16, 90619-900, Porto Alegre, RS, Brasil

    Dalcidio Claudio

Authors
  1. Svetoslav Markov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Dalcidio Claudio
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev, Bl. 25A, 1113, Sofia, Bulgaria

    Ivan Lirkov

  2. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. Bl. 25-A, 1113, Sofia, Bulgaria

    Svetozar Margenov

  3. Informatics & Mathematical Modeling, Technical University of Denmark, DK-2800, Lyngby, Denmark

    Jerzy Waśniewski

  4. Center of Applied Mathematics and Informatics, University of Rousse, 7017, Rousse, Bulgaria

    Plamen Yalamov

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Markov, S., Claudio, D. (2004). On the Approximation of Centered Zonotopes in the Plane. In: Lirkov, I., Margenov, S., Waśniewski, J., Yalamov, P. (eds) Large-Scale Scientific Computing. LSSC 2003. Lecture Notes in Computer Science, vol 2907. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24588-9_27

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-24588-9_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-21090-0

  • Online ISBN: 978-3-540-24588-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics