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Tight Bounding Volumes for an IFS Attractor

Jerzy Prokop

Abstract

The purpose of this thesis is to describe and implement an algorithm of finding tight bounded volumes for an aftine IFS attractor. The problem is limited to 2D and 3D space, where in 2D space the bounding shape is limited to convex polygon having arbitrary number of edges and in 3D space the bounding shape will be limited to the rectangular prism (cuboid having exactly 6 faces).
Diploma type
Engineer's / Bachelor of Science
Diploma type
Engineer's thesis
Author
Jerzy Prokop (FEIT/ICS) Jerzy Prokop,, The Institute of Computer Science (FEIT/ICS)Faculty of Electronics and Information Technology (FEIT)
Title in Polish
Bryły ciasno ograniczające atraktory IFS
Supervisor
Tomasz Martyn (FEIT/ICS) Tomasz Martyn,, The Institute of Computer Science (FEIT/ICS)Faculty of Electronics and Information Technology (FEIT)
Certifying unit
Faculty of Electronics and Information Technology (FEIT)
Affiliation unit
The Institute of Computer Science (FEIT/ICS)
Language
(en) English
Status
Finished
Issue date (year)
2007
Internal identifier
ENII-PI.000737
Keywords in Polish
fraktale, IFS, bryły ograniczające, atraktor
Keywords in English
fractal, IFS, bounding volumes, attractor
Abstract in Polish
Celem tej pracy jest opisanie i zrealizowanie algorytmu obliczania brył ograniczających atraktory IFS. Zagadnienie zostało ograniczone do przestrzeni 2 i 3 wymiarowych. Bryły ograniczające atraktor w 2 wymiarach będą mogły mieć postać dowobego wielokąta wypukłego. Bryły ograniczające w trójwymiarowej przestrzeni będę miały formę prostopadłościanu.

Uniform Resource Identifier
https://repo.pw.edu.pl/info/bachelor/WUTb571320dfdec4c619826db4b844901f3/
URN
urn:pw-repo:WUTb571320dfdec4c619826db4b844901f3

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