A New Visualization Algorithm for the Mandelbrot Set

Raka  Jovanovic; Milan Tuba; Dana Simian

A New Visualization Algorithm for the Mandelbrot Set

Raka Jovanovic, Milan Tuba, Dana Simian

QEERI - Energy Center

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper we present a new method for displaying the Mandelbrot Set. Our algorithm is closely connected to Pickover Stalks and Buddhabrot method. Pickover Stalks method created biomorphs, diverse and complicated forms greatly resembling invertebrate organisms. Our method extends previously developed methods that preserve information about calculating the Mandelbrot Set. We observe the calculation-path of points tested for belonging to the Mandelbrot Set. Two variations of this display method are presented: one that only takes into account the paths taken and one that also uses information about their lengths.

Original language	English
Title of host publication	Proceedings of the 10th WSEAS International Conference on MATHEMATICS and COMPUTERS in BIOLOGY and CHEMISTRY
Publication status	Published - 2009

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@inproceedings{d04ec1f7aef6441f92cb4f37f864dd2f,

title = "A New Visualization Algorithm for the Mandelbrot Set",

abstract = "In this paper we present a new method for displaying the Mandelbrot Set. Our algorithm is closely connected to Pickover Stalks and Buddhabrot method. Pickover Stalks method created biomorphs, diverse and complicated forms greatly resembling invertebrate organisms. Our method extends previously developed methods that preserve information about calculating the Mandelbrot Set. We observe the calculation-path of points tested for belonging to the Mandelbrot Set. Two variations of this display method are presented: one that only takes into account the paths taken and one that also uses information about their lengths. ",

author = "Raka Jovanovic and Milan Tuba and Dana Simian",

year = "2009",

language = "English",

booktitle = "Proceedings of the 10th WSEAS International Conference on MATHEMATICS and COMPUTERS in BIOLOGY and CHEMISTRY",

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TY - GEN

T1 - A New Visualization Algorithm for the Mandelbrot Set

AU - Jovanovic, Raka

AU - Tuba, Milan

AU - Simian, Dana

PY - 2009

Y1 - 2009

N2 - In this paper we present a new method for displaying the Mandelbrot Set. Our algorithm is closely connected to Pickover Stalks and Buddhabrot method. Pickover Stalks method created biomorphs, diverse and complicated forms greatly resembling invertebrate organisms. Our method extends previously developed methods that preserve information about calculating the Mandelbrot Set. We observe the calculation-path of points tested for belonging to the Mandelbrot Set. Two variations of this display method are presented: one that only takes into account the paths taken and one that also uses information about their lengths.

AB - In this paper we present a new method for displaying the Mandelbrot Set. Our algorithm is closely connected to Pickover Stalks and Buddhabrot method. Pickover Stalks method created biomorphs, diverse and complicated forms greatly resembling invertebrate organisms. Our method extends previously developed methods that preserve information about calculating the Mandelbrot Set. We observe the calculation-path of points tested for belonging to the Mandelbrot Set. Two variations of this display method are presented: one that only takes into account the paths taken and one that also uses information about their lengths.

M3 - Conference contribution

BT - Proceedings of the 10th WSEAS International Conference on MATHEMATICS and COMPUTERS in BIOLOGY and CHEMISTRY

ER -

A New Visualization Algorithm for the Mandelbrot Set

Abstract

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