Method of creating graphical works based on polynomials

Details Method of creating graphical works based on polynomials Method of creating graphical works based on polynomials

2005-05-17

2005-05-17

Bella, Matthew C. (Department: 2676)

Computer graphics processing and selective visual display system

Computer graphics processing

Graphic manipulation

Reexamination Certificate

active

06894705

ABSTRACT:
The present invention provides a method for approximating zeros (roots) of polynomials using an iterative technique and displaying graphical images based on the results of that technique. The science of polynomiography is based on the use of at least one of an infinite number of iteration functions designed for the purpose of approximation of roots of polynomials.

REFERENCES:
Pergler, Martin. “Newton's Method and Newton Basin Fractals.” Nov. 25, 1999. p. 1-6. Available at http://www.math.uchicago.edu/˜pergler/genteach
ewton
ewton.html.*
Kalantari, Bahman and I. Kalantari and R. Zaare-Nahandi. “A Basic Family Of Iteration Functions For Polynomial Root Finding And Its Characterizations.” 1997. Abstract and p. 1. Available at http://citeseer.ist.psu.edu/kalantari97basic.html.

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