Name Vasileios Drakopoulos 
Date of birth
Place of birth
27/7/68
Athens, Greece 
Title Doctor
Contact address
 
 

Phone number
e-mail

Department of Informatics, University of Athens
TYPA Buildings, Panepistimiopolis, Ilisia
15784, Athens, Greece

030-1-7275105
vasilios AT di.uoa.gr 
 

Degrees 1999    Ph.D.,   Dynamics of rational iteration methods and
                       fractal functions: Algorithmic construction and their 
                       computer-graphics representation
                       Department of Informatics, University of Athens, Greece

1992    M.S.,     Computer Science and Operations Research 
           University of  Athens, Greece

1990    B.S.,     Mathematics 
           Department of Mathematics, University of Athens, Greece
 

Research Interests Fractal and Computational Geometry, Computer Graphics,
Dynamic Systems,
Image Processing and Compression,
Computational Complex Analysis
Grants    "Fractals and Dynamic Systems",
    supported by the Special Research Committee of the University of Athens 
    # 70/4/1388

    "Mandelbrot-like sets of Konig iteration functions",
    supported by the Special Research Committee of the University of Athens
    # 70/4/2403

   "Fractal interpolation functions",
    supported by the Special Research Committee of the University of Athens
    # 70/4/3247

    "Fractal interpolation surfaces",
    supported by the Special Research Committee of the University of Athens
    # 70/4/4160
 

Publications     Drakopoulos V.,  Introduction to fractals and chaotic
    dynamics, M.S. Thesis, Univ. of Athens, 1992 (in greek)

     Dimas E. and Drakopoulos V., Numerical solution of partial
    differential equations using finite differences method, Univ. of Athens,
    1989 (in greek)

    Dalla L., Drakopoulos V. and Boehm A., Elements of fractal
    theory, Mathematical Gazette, 21-48 (in greek), 1995

    Argyropoulos N.,   Boehm A. and Drakopoulos V., Julia and
    Mandelbrot-like sets for higher order Koenig rational iteration
    functions, in Novak M. M. and Dewey T. G. (eds), Fractal
    frontiers, World Scientific, Singapore, 169-178, 1997

    Drakopoulos V. and Boehm A., The geometry of nature in 
    education, Two-day Workshop in Informatics "Informatics in Secondary
    Education", GCS, 1997

    Drakopoulos V. and Dalla L., The new dimension of the
    educational mathematical thinking, 14th Panhellenic Conference of
    Mathematical Education, HMS, 1997

    Drakopoulos V., On the additional fixed points of Schroeder
    iteration functions associated with a one-parameter family of cubic
    polynomials, Computers & Graphics, 629-634, 1998

    Drakopoulos V.,  Dynamics of rational iteration methods and
    fractal functions: Algorithmic construction and their computer-graphics
    representation, Ph.D. Thesis, Univ. of Athens, 1998

    Drakopoulos V. and Boehm A., Basins of attraction and Julia
    sets of Schroeder iteration functions, in Bountis T. and Pnevmatikos S.
    (eds), Proceedings of the 2th and 3th Panhellenic Conferences and
    7th and 8th Summer Schools on Complexity and Chaotic Dynamics of
    Nonlinear Systems, Pnevmatikos, Athens,157-163, 1998

    Drakopoulos V., Argyropoulos N. and Boehm A., Generalized
    computation of Schroeder iteration functions to motivate  families of
    Julia and Mandelbrot-like sets, SIAM J. Numer. Anal., 417-435, 1999

    Drakopoulos V., Tziovaras A., Boehm A. and Dalla L., Fractal
    interpolation techniques for the generation of space-filling curves,
    in Lipitakis H. (ed),  Hellenic European Conference in Computer
    Mathematics and its Applications, LEA, Athens, 1999

    Drakopoulos V. and Dalla L., Space-filling curves generated by fractal
    interpolation functions, in Iliev O., Kaschiev M.,  Margenov S., Sendov Bl.
    and Vassilevski P. (eds), Recent advances in numerical methods and 
    applications, World Scientific, Singapore, 1999

    Dalla L. and Drakopoulos V., On the parameter identification problem in 
    the plane and the Polar Fractal Interpolation Functions, to appear in
    Journal of Approximation Theory.

    Drakopoulos V., Visualization on the Riemann Sphere of
    Schroeder iteration functions and their efficient computation, to
    appear in the 3rd IMACS/IEEE CSCC'99 International Multiconference.
 

Conferences
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

 

    Drakopoulos V. and Dalla L., Space-filling curves generated by fractal 
    interpolation functions, 4th International Conference on Numerical 
    Methods and Applications, Sofia, Bulgaria, Aug. 19-23, 1998.

    Drakopoulos V., Tziovaras A., Bφhm A. and Dalla L., Fractal interpolation 
    techniques for the generation of space-filling curves, 4th Hellenic European
    Recearch in Computer Mathematics and its Applications, AUEB, Athens, 
    Sep. 24-26, 1998.

    Drakopoulos V. and Georgiou S., Visualization on the Riemann sphere 
     of Schrφder iteration functions and their efficient computation, 3rd
     IMACS/IEEE CSCC ’99 International Multiconference, Athens, Jul. 4-8, 
     1999.

     Argyropoulos N., Bφhm A. and Drakopoulos V., Julia and Mandelbrot-like 
    sets for higher order Kφnig rational iteration functions, 4th IFIP working
     conference on Fractals in the Natural and Applied Sciences, Denver 
    Colo., U.S.A, April 8-11, 1997.

    Δρακόπουλος Β., Σύνολα Julia και Mandelbrot: Μία αλγοριθμική 
    προσέγγιση, 2ο Πανελλήνιο Συνέδριο/7ο Θερινό Σχολείο Μη Γραμμικής 
    Δυναμικής, Ξάνθη, 25 Ιουλ.-5 Αυγ. 1994.

     Αργυρόπουλος Ν., Δρακόπουλος Β. και Μπεμ Α., Λεκάνες έλξης και 
    σύνολα Julia των επαναληπτικών συναρτήσεων Schrφder, 3ο 
    Πανελλήνιο Συνέδριο/8ο Θερινό Σχολείο Πολυπλοκότητας και Χαοτικής 
    Δυναμικής Μη Γραμμικών Συστημάτων, Ξάνθη, 17-28 Ιουλ. 1995.

     Δρακόπουλος Β. και Μπεμ Α., Η γεωμετρία της Φύσης στην εκπαίδευση, 
     Διημερίδα Πληροφορικής “Η Πληροφορική στη Δευτεροβάθμια 
     Εκπαίδευση”, Αθήνα, 4-5 Απρ. 1997.

     Δρακόπουλος Β., Αργυρόπουλος Ν. και Μπεμ Α., Σύνολα τύπου 
    Julia και Mandelbrot των, ανώτερης τάξης, ρητών επαναληπτικών 
    συναρτήσεων Kφnig, 5ο Πανελλήνιο Συνέδριο/10ο Θερινό Σχολείο 
    Πολυπλοκότητας και Χαοτικής Δυναμικής Μη Γραμμικών Συστημάτων, 
    Θεσσαλονίκη, 14-25 Ιουλ. 1997.

     Δρακόπουλος Β. και Ευαγγελάτου-Δάλλα Λ., Η νέα διάσταση της 
     εκπαιδευτικής μαθηματικής σκέψης, 14ο Πανελλήνιο Συνέδριο 
    Μαθηματικής Παιδείας, Μυτιλήνη, 14-17 Νοεμ. 1997. 

     Δρακόπουλος Β., Ευαγγελάτου-Δάλλα Λ. και Μπεμ Α., Καμπύλες 
    γεμίζουσες το χώρο παραγόμενες από fractal συναρτήσεις 
    παρεμβολής,  6ο Πανελλήνιο Συνέδριο/11ο Θερινό Σχολείο στη Μη 
    Γραμμική Δυναμική: Πολυπλοκότητα και Χάος, Λειβαδιά, 13-25 Ιουλ. 1998.

     Δρακόπουλος Β., Περί των πρόσθετων σταθερών σημείων των 
    επαναληπτικών συναρτήσεων Schrφder εφαρμόζουσες σε μια 
    μονοπαραμετρική οικογένεια κυβικών πολυωνύμων, 6ο
    Πανελλήνιο Συνέδριο/11ο Θερινό Σχολείο στη Μη Γραμμική Δυναμική: 
    Πολυπλοκότητα και Χάος, Λειβαδιά, 13-25 Ιουλ. 1998.
 

Teaching 1991 - 1992 :   Applied Data Analysis, Teaching Assistant
                      Department of Mathematics, University of Athens

1994 - 1996 :   Informatics II, Teaching Assistant
                      Department of Mathematics, University of Athens

1995 -1996 :    Informatics I, Teaching Assistant 
                      Department of Mathematics, University of Athens

1997 - 1999 :   Computer Graphics-Fractals, Teaching 
                      Department of Informatics, University of Athens
 

Professional activities 1994 - now  :   High School Teacher of Computer Science 
Memberships

 

   Hellenic Mathematical Society
   Hellenic Statistical Institute
   American Mathematical Society
Honors
 
1992 - 1995 : Student Scholarship, Bodosakis Foundation
1999 - 2000 : IKY Foundation
Languages English 
German