Aksonometrija i anaglifske slike

master's thesis

• Author: Marta Kvesić
• Mentor: Željka Milin-Šipuš (mentor)
• Committee member: Željka Milin-Šipuš (predsjednik povjerenstva)
• Committee member: Vjeran Hari (član povjerenstva)
• Committee member: Zvonimir Tutek (član povjerenstva)
• Committee member: Boris Guljaš (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2016-02-24, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

Rad je podijeljen u dva dijela, te opisuje dvije usko povezane geometrijske teme. U prvom dijelu rada proučavaju se metode aksonometrije, ili paralelnog projiciranja, pomoću kojeg će se konstruirati projekcije tijela. Drugi dio bavi se anaglifskim slikama, odnosno slikama nekog prostornog objekta koje se sastoje od dvije njihove aksonometrijske slike na papiru, jedne plave i jedne crvene, dobivene pogledima iz različitog oka. Korištenjem 3D-naočala te se slike integriraju u jednu sliku prividne trodimenzionalne dubine. Rad nadalje analizira načine stvaranja anaglifske slike koristeći dinamične matematičke alate kao što su Mathematica, The Geometer's Skethpad i GeoGebra, imajući za cilj izradu didaktičkog materijala koji prati školske sadržaje geometrije prostora, kao što su prikazi tijela i njihovih ravninskih presjeka.

Abstract (english)

The graduate thesis is divided into two parts and covers two closely related geometric topics. In the first part of the study, we focus on the methods of axonometry, or parallel projection, which will be used in constructing the projections of geometric solids. The second part covers anaglyphic images, or images of three-dimensional geometric elements consisting of two axonometric images, one blue and one red, each obtained by viewing through one eye. By using 3D glasses, these images are combined into one image of virtual three-dimensional depth. The thesis continues with analysis of methods of producing anaglyphic images using dynamic mathematical tools such as Mathematica, The Geometer’s Sketchpad and GeoGebra, aiming to produce the didactic materials that would accompany educational materials for the geometry of space, such as representations of solids and their planar sections.

• Keywords: metode aksonometrije; paralelno projiciranje; konstrukcije projekcije tijela; anaglifske slike; 3D naočale; Mathematica; The Geometer's Skethpad; GeoGebra; didaktički materijal
• Keywords (english): methods of axonometry; parallel projection; constructing projections of geometric solids; anaglyphic images; 3D glasses; Mathematica; The Geometer's Skethpad; GeoGebra; didactic materials
• Language: croatian
• URN:NBN: urn:nbn:hr:217:744509
• Study programme: Title: Mathematics Education; specializations in: Mathematics Education; Course: Mathematics Education; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Closed access
• Created on: 2019-02-22 09:24:34