Fraktalo vizualizavimas internete

Abstract

Šio darbo uždavinys – sukurti internetinę programą, vaizduojančią trimatį fraktalą. Tam tikslui buvo išnagrinėti esami metodai ir technologijos trimatei grafikai internete vizualizuoti. Palyginus išnagrinėtus metodus ir technologijos,buvo parinktas tinkamas užduočiai realizuoti metodas, pateiktos išvados. Padaryta programavimo kalbų skirtu programavimui internete apžvalga, aprašytos jų savybės, principai ir palygintos jų teikiamos galimybės ir tinkamumas šiam darbui. Sukurtoje programoje vaizduojamas fraktalas-Mengerio kempinė. Pateiktas fraktalo konstravimo rekursinis algoritmas. Pateiktose programose realizuoti aprašytas rekursinis algoritmas ir algoritmas, kuriame naudojama Kronekerio daugyba ir šablonas matricos pavidalu konstruojant fraktalą. Bandant pagerinti programą, sukurta ir pateikta antrojo algoritmo modifikacija, kurioje bandoma saugoti tik matricos dalį.

The main purpose of this work is to create an internet program, which depicts the three-dimensional fractal. Striving to meet the main objective of this work the existing methods and technologies for the three-dimensional graphics were explored and visualized in the internet. After comparing analyzed methods and technologies, the appropriate method for realizing the task was selected and findings were proposed. Moreover for choosing the programming language: the review of programming languages was made, their characteristics and principles were described, and their provided opportunities were compared. The fractal – Menger Sponge is depicted in the created program, and the recursive algorithm of the fractal construction is proposed and described in the given programs. The Kronecker Multiplication and the pattern in the matrix form are used for constructing the fractal. For trying to improve the program the second algorithm modification was created and introduced, in which was making attempt to protect just the part of matrix.